FANDOM


Basic Edit

Natural numbers (or nonnegative integers): 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1X, 1E, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 2X, 2E, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 3X, 3E, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 4X, 4E, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 5X, 5E, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 6X, 6E, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 7X, 7E, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 8X, 8E, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 9X, 9E, X0, X1, X2, X3, X4, X5, X6, X7, X8, X9, XX, XE, E0, E1, E2, E3, E4, E5, E6, E7, E8, E9, EX, EE, 100, ...

Positive integers: 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1X, 1E, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 2X, 2E, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 3X, 3E, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 4X, 4E, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 5X, 5E, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 6X, 6E, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 7X, 7E, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 8X, 8E, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 9X, 9E, X0, X1, X2, X3, X4, X5, X6, X7, X8, X9, XX, XE, E0, E1, E2, E3, E4, E5, E6, E7, E8, E9, EX, EE, 100, ...

Even numbers (or multiples of 2): 0, 2, 4, 6, 8, X, 10, 12, 14, 16, 18, 1X, 20, 22, 24, 26, 28, 2X, 30, 32, 34, 36, 38, 3X, 40, 42, 44, 46, 48, 4X, 50, 52, 54, 56, 58, 5X, 60, 62, 64, 66, 68, 6X, 70, 72, 74, 76, 78, 7X, 80, 82, 84, 86, 88, 8X, 90, 92, 94, 96, 98, 9X, X0, X2, X4, X6, X8, XX, E0, E2, E4, E6, E8, EX, 100, ... (numbers end with 0, 2, 4, 6, 8 or X)

Odd numbers: 1, 3, 5, 7, 9, E, 11, 13, 15, 17, 19, 1E, 21, 23, 25, 27, 29, 2E, 31, 33, 35, 37, 39, 3E, 41, 43, 45, 47, 49, 4E, 51, 53, 55, 57, 59, 5E, 61, 63, 65, 67, 69, 6E, 71, 73, 75, 77, 79, 7E, 81, 83, 85, 87, 89, 8E, 91, 93, 95, 97, 99, 9E, X1, X3, X5, X7, X9, XE, E1, E3, E5, E7, E9, EE, ... (numbers end with 1, 3, 5, 7, 9 or E)

By properties of bigomega(n) and omega(n) Edit

Primes: 2, 3, 5, 7, E, 11, 15, 17, 1E, 25, 27, 31, 35, 37, 3E, 45, 4E, 51, 57, 5E, 61, 67, 6E, 75, 81, 85, 87, 8E, 91, 95, X7, XE, E5, E7, 105, 107, 111, 117, 11E, 125, 12E, 131, 13E, 141, 145, 147, 157, 167, 16E, 171, 175, 17E, 181, 18E, 195, 19E, 1X5, 1X7, 1E1, 1E5, 1E7, 205, 217, 21E, 221, 225, 237, 241, 24E, 251, 255, 25E, 267, 271, 277, 27E, 285, 291, 295, 2X1, 2XE, 2E1, 2EE, 301, 307, 30E, 315, 321, 325, 327, 32E, 33E, 347, 34E, 357, 35E, 365, 375, 377, 391, 397, 3X5, 3XE, 3E5, 3E7, 401, 40E, 415, 41E, 421, 427, 431, 435, 437, 447, 455, 457, 45E, 465, 46E, 471, 481, 485, 48E, 497, 4X5, 4E1, 4EE, 507, 511, 517, 51E, 527, 531, 535, 541, 545, 557, 565, 575, 577, 585, 587, 58E, 591, 59E, 5E1, 5E5, 5E7, 5EE, 611, 615, 617, 61E, 637, 63E, 647, 655, 661, 665, 66E, 675, 687, 68E, 695, 69E, 6X7, 6E1, 701, 705, 70E, 711, 71E, 721, 727, 735, 737, 745, 747, 751, 767, 76E, 771, 775, 77E, 785, 791, 797, 7X1, 7EE, 801, 80E, 817, 825, 82E, 835, 841, 851, 855, 85E, 865, 867, 871, 881, 88E, 8X5, 8X7, 8XE, 8E5, 8E7, 901, 905, 907, 90E, 91E, 921, 927, 955, 95E, 965, 971, 987, 995, 9X7, 9XE, 9E1, 9E5, 9EE, X07, X0E, X11, X17, X27, X35, X37, X3E, X41, X45, X4E, X5E, X6E, X77, X87, X91, X95, X9E, XX7, XXE, XE7, XEE, E11, E15, E1E, E21, E25, E2E, E31, E37, E45, E61, E67, E6E, E71, E91, E95, E97, EX5, EE5, EE7, ... (except 2 and 3, all end with 1, 5, 7 or E (exactly 1 and the primes not divide 10))

Composites: 4, 6, 8, 9, X, 10, 12, 13, 14, 16, 18, 19, 1X, 20, 21, 22, 23, 24, 26, 28, 29, 2X, 2E, 30, 32, 33, 34, 36, 38, 39, 3X, 40, 41, 42, 43, 44, 46, 47, 48, 49, 4X, 50, 52, 53, 54, 55, 56, 58, 59, 5X, 60, 62, 63, 64, 65, 66, 68, 69, 6X, 70, 71, 72, 73, 74, 76, 77, 78, 79, 7X, 7E, 80, 82, 83, 84, 86, 88, 89, 8X, 90, 92, 93, 94, 96, 97, 98, 99, 9X, 9E, X0, X1, X2, X3, X4, X5, X6, X8, X9, XX, E0, E1, E2, E3, E4, E6, E8, E9, EX, EE, 100, ...

Prime powers: 1, 2, 3, 4, 5, 7, 8, 9, E, 11, 14, 15, 17, 1E, 21, 23, 25, 27, 28, 31, 35, 37, 3E, 41, 45, 4E, 51, 54, 57, 5E, 61, 67, 69, 6E, 75, 81, 85, 87, 8E, 91, 95, X1, X5, X7, X8, XE, E5, E7, 105, 107, 111, 117, 11E, 121, 125, 12E, 131, 13E, 141, 145, 147, 157, 167, 16E, 171, 175, 17E, 181, 183, 18E, 194, 195, 19E, 1X5, 1X7, 1E1, 1E5, 1E7, 201, 205, 217, 21E, 221, 225, 237, 241, 247, 24E, 251, 255, 25E, 261, 267, 271, 277, 27E, 285, 291, 295, 2X1, 2XE, 2E1, 2EE, 301, 307, 30E, 315, 321, 325, 327, 32E, 33E, 347, 34E, 357, 35E, 365, 368, 375, 377, 381, 391, 397, 3X5, 3XE, 3E5, 3E7, 401, 40E, 415, 41E, 421, 427, 431, 435, 437, 441, 447, 455, 457, 45E, 465, 46E, 471, 481, 485, 48E, 497, 4X5, 4E1, 4EE, 507, 509, 511, 517, 51E, 527, 531, 535, 541, 545, 557, 565, 575, 577, 585, 587, 58E, 591, 59E, 5X1, 5E1, 5E5, 5E7, 5EE, 611, 615, 617, 61E, 637, 63E, 647, 655, 661, 665, 66E, 675, 681, 687, 68E, 695, 69E, 6X7, 6E1, 701, 705, 70E, 711, 714, 71E, 721, 727, 735, 737, 745, 747, 751, 767, 76E, 771, 775, 77E, 785, 791, 797, 7X1, 7EE, 801, 80E, 817, 825, 82E, 835, 841, 851, 855, 85E, 865, 867, 871, 881, 88E, 8X5, 8X7, 8XE, 8E5, 8E7, 901, 905, 907, 90E, 91E, 921, 927, 92E, 955, 95E, 961, 965, 971, 987, 995, 9X7, 9XE, 9E1, 9E5, 9EE, X07, X0E, X11, X17, X27, X35, X37, X3E, X41, X45, X4E, X5E, X6E, X77, X87, X91, X95, X9E, XX7, XXE, XE7, XEE, E11, E15, E1E, E21, E25, E2E, E31, E37, E45, E61, E67, E6E, E71, E81, E91, E95, E97, EX5, EE5, EE7, ...

True prime powers: 4, 8, 9, 14, 21, 23, 28, 41, 54, 69, X1, X5, X8, 121, 183, 194, 201, 247, 261, 368, 381, 441, 509, 5X1, 681, 714, 92E, 961, E81, 10X1, 1228, 1323, 1331, 1341, 1481, 1761, 1985, 2021, 21X1, 2454, 2721, 2X15, 2E01, 3101, 3741, 3969, 3E77, 3EX1, 4701, 48X8, 5541, 5XX1, 6181, 6761, 6X61, 705E, 7481, 8581, 9061, 9401, 9594, 9887, 9E21, XX41, E221, E483, ...

Semiprimes: 4, 6, 9, X, 12, 13, 19, 1X, 21, 22, 29, 2X, 2E, 32, 33, 3X, 41, 43, 47, 49, 4X, 52, 55, 59, 62, 65, 6X, 71, 72, 73, 77, 79, 7X, 7E, 8X, 93, 97, 9X, 9E, X1, X2, X3, X9, E1, E2, E9, EX, EE, 101, 102, 10E, 112, 113, 115, 11X, 121, 129, 12X, 133, 135, 137, 142, 149, 14X, 14E, 151, 152, 155, 159, 15X, 15E, 161, 162, 163, 165, 16X, 177, 179, 187, 189, 191, 192, 197, 19X, 1X1, 1X3, 1XX, 1E2, 1EE, 201, 203, 207, 20X, 20E, 211, 212, 213, 215, 219, 222, 227, 229, 22E, 232, 233, 235, 23X, 23E, 243, 245, 24X, 257, 25X, 261, 262, 265, 26E, 275, 279, 27X, 282, 287, 289, 28X, 28E, 292, 297, 29E, 2X3, 2X5, 2X7, 2X9, 2E2, 2E7, 305, 311, 312, 313, 317, 319, 31X, 322, 32X, 331, 333, 335, 33X, 341, 342, 345, 349, 351, 355, 359, 35X, 361, 367, 36X, 36E, 371, 373, 37X, 37E, 381, 385, 387, 389, 38X, 392, 393, 395, 39E, 3X1, 3X2, 3X7, 3XX, 3E1, 3E2, 3E9, 403, 405, 407, 40X, 411, 413, 419, 42E, 432, 43X, 43E, 442, 445, 449, 44X, 44E, 461, 467, 472, 477, 479, 47E, 482, 487, 489, 491, 493, 495, 49X, 49E, 4X1, 4X2, 4X3, 4X7, 4XX, 4XE, 4E5, 4E9, 4EX, 501, 503, 50E, 512, 515, 521, 522, 525, 529, 52E, 532, 537, 53X, 53E, 543, 54X, 54E, 551, 555, 559, 55E, 561, 562, 567, 56X, 56E, 573, 579, 57E, 581, 582, 593, 597, 59X, 5X1, 5X2, 5X3, 5X9, 5XE, 5EX, 601, 602, 605, 607, 612, 613, 61X, 621, 625, 627, 62X, 62E, 631, 635, 641, 642, 645, 649, 64X, 64E, 652, 659, 65X, 663, 667, 671, 673, 677, 67X, 67E, 681, 685, 691, 692, 697, 69X, 6X1, 6X5, 6X9, 6XE, 6E2, 6E7, 6EX, 6EE, 703, 70X, 717, 725, 729, 72X, 72E, 732, 733, 73E, 741, 743, 74E, 755, 759, 75E, 761, 762, 772, 777, 779, 787, 78X, 78E, 793, 795, 79X, 7X5, 7X7, 7X9, 7XX, 7XE, 7E1, 7E2, 7E5, 7E7, 7E9, 802, 805, 807, 811, 813, 815, 81X, 821, 82X, 831, 833, 837, 83X, 83E, 842, 843, 845, 847, 84E, 852, 857, 862, 863, 86X, 872, 875, 877, 87E, 885, 887, 889, 891, 892, 893, 897, 89E, 8X1, 8XX, 8E1, 8E2, 8E9, 8EX, 903, 90X, 915, 917, 919, 91X, 922, 929, 931, 935, 937, 93E, 941, 942, 943, 945, 947, 94X, 94E, 951, 957, 95X, 961, 963, 96E, 972, 973, 975, 977, 979, 97E, 981, 985, 989, 98X, 98E, 991, 997, 99E, 9X1, 9X2, 9E9, 9EX, X01, X12, X15, X19, X21, X22, X25, X29, X31, X32, X3X, X49, X51, X52, X57, X59, X61, X62, X65, X6X, X73, X75, X7E, X81, X82, X85, X8X, X97, XX1, XX3, XX5, XX9, XE2, XE5, E01, E05, E07, E0X, E17, E2X, E32, E33, E3E, E41, E47, E49, E4X, E4E, E52, E55, E57, E5X, E5E, E62, E65, E73, E75, E7X, E7E, E81, E85, E87, E89, E8E, E9E, EX2, EX3, EX7, EX9, EXX, EE1, EE2, EEX, EEE, ...

Sphenic numbers: 26, 36, 56, 5X, 66, 86, 89, 92, 96, XX, E6, 10X, 119, 122, 126, 132, 136, 13X, 143, 166, 172, 173, 17X, 186, 193, 196, 1X2, 1X9, 1E6, 1E9, 1EX, 202, 21X, 226, 22X, 249, 256, 259, 266, 26X, 272, 281, 293, 296, 29X, 2X2, 2XX, 2E6, 2E9, 2EX, 302, 303, 306, 30X, 31E, 329, 332, 336, 343, 352, 356, 362, 372, 382, 386, 3X3, 3X9, 3EX, 406, 412, 417, 41X, 422, 426, 429, 42X, 433, 436, 443, 452, 456, 459, 45X, 463, 466, 46X, 473, 475, 47X, 486, 48X, 4X9, 4E2, 4E7, 50X, 519, 51X, 52X, 533, 536, 549, 552, 556, 55X, 563, 571, 572, 57X, 586, 58X, 592, 596, 5E2, 5E9, 60X, 619, 622, 626, 629, 632, 633, 636, 643, 65E, 662, 666, 66X, 679, 682, 689, 68X, 696, 6X2, 6X3, 6XX, 6E5, 6E6, 6E9, 702, 707, 712, 713, 71X, 722, 726, 731, 73X, 749, 74X, 752, 756, 765, 766, 76X, 773, 77X, 781, 782, 789, 792, 7X2, 7X3, 7E6, 806, 80X, 812, 819, 822, 826, 829, 836, 849, 859, 85X, 86E, 873, 879, 87X, 88X, 895, 896, 89X, 8X9, 8EE, 902, 911, 912, 913, 932, 933, 936, 93X, 949, 952, 956, 962, 966, 96X, 97X, 982, 986, 992, 993, 99X, 9X3, 9XX, 9E6, 9E7, X02, X03, X06, X13, X1X, X1E, X2X, X33, X42, X43, X47, X4X, X55, X56, X5X, X63, X72, X79, X7X, X86, X89, X8E, X93, X9X, XX2, XXX, XE6, XE9, XEX, E02, E0E, E12, E13, E19, E1X, E26, E27, E36, E3X, E42, E43, E51, E59, E63, E66, E72, E79, E86, E93, E96, E9X, EX1, ...

Squarefree numbers: 1, 2, 3, 5, 6, 7, X, E, 11, 12, 13, 15, 17, 19, 1X, 1E, 22, 25, 26, 27, 29, 2X, 2E, 31, 32, 33, 35, 36, 37, 3X, 3E, 43, 45, 47, 49, 4X, 4E, 51, 52, 55, 56, 57, 59, 5X, 5E, 61, 62, 65, 66, 67, 6X, 6E, 71, 72, 73, 75, 77, 79, 7X, 7E, 81, 85, 86, 87, 89, 8X, 8E, 91, 92, 93, 95, 96, 97, 9X, 9E, X2, X3, X7, X9, XX, XE, E1, E2, E5, E6, E7, E9, EX, EE, 101, 102, 105, 107, 10X, 10E, 111, 112, 113, 115, 117, 119, 11X, 11E, 122, 125, 126, 129, 12X, 12E, 131, 132, 133, 135, 136, 137, 13X, 13E, 141, 142, 143, 145, 147, 149, 14X, 14E, 151, 152, 155, 156, 157, 159, 15X, 15E, 161, 162, 163, 165, 166, 167, 16X, 16E, 171, 172, 173, 175, 177, 179, 17X, 17E, 181, 186, 187, 189, 18E, 191, 192, 193, 195, 196, 197, 19X, 19E, 1X1, 1X2, 1X3, 1X5, 1X7, 1X9, 1XX, 1E1, 1E2, 1E5, 1E6, 1E7, 1E9, 1EX, 1EE, 202, 203, 205, 207, 20X, 20E, 211, 212, 213, 215, 217, 219, 21X, 21E, 221, 222, 225, 226, 227, 229, 22X, 22E, 232, 233, 235, 236, 237, 23X, 23E, 241, 243, 245, 249, 24X, 24E, 251, 255, 256, 257, 259, 25X, 25E, 262, 265, 266, 267, 26X, 26E, 271, 272, 275, 277, 279, 27X, 27E, 281, 282, 285, 286, 287, 289, 28X, 28E, 291, 292, 293, 295, 296, 297, 29X, 29E, 2X1, 2X2, 2X3, 2X5, 2X7, 2X9, 2XX, 2XE, 2E1, 2E2, 2E6, 2E7, 2E9, 2EX, 2EE, 301, 302, 303, 305, 306, 307, 30X, 30E, 311, 312, 313, 315, 317, 319, 31X, 31E, 321, 322, 325, 326, 327, 329, 32X, 32E, 331, 332, 333, 335, 336, 33X, 33E, 341, 342, 343, 345, 347, 349, 34E, 351, 352, 355, 356, 357, 359, 35X, 35E, 361, 362, 365, 366, 367, 36X, 36E, 371, 372, 373, 375, 377, 37X, 37E, 382, 385, 386, 387, 389, 38X, 391, 392, 393, 395, 396, 397, 39E, 3X1, 3X2, 3X3, 3X5, 3X7, 3X9, 3XX, 3XE, 3E1, 3E2, 3E5, 3E6, 3E7, 3E9, 3EX, ...

Generated via a sieve Edit

Lucky numbers: 1, 3, 7, 9, 11, 13, 19, 21, 27, 29, 31, 37, 41, 43, 53, 57, 59, 61, 63, 67, 73, 79, 83, 89, 93, 97, X7, X9, E1, E3, E9, 107, 113, 117, 121, 123, 139, 141, 143, 149, 151, 157, 163, 167, 173, 177, 179, 181, 197, 199, 1X3, 1X9, 1E7, 1E9, 201, 209, 213, 217, 227, 229, 233, 237, 243, 251, 259, 261, 267, 281, 287, 289, 293, 2X1, 2X7, 2E1, 2E7, 2E9, 301, 317, 327, 337, 339, 343, 347, 349, 353, 367, 371, 373, 381, 387, 389, 391, 3X1, 3X7, 401, 403, 407, 413, 421, 431, 433, 437, 439, 447, 453, 457, 459, 463, 467, 481, 487, 491, 499, 4X3, 4E9, 503, 507, 509, 513, 517, 519, 521, 541, 549, 551, 557, 569, 571, 583, 587, 593, 5X1, 5E3, 603, 609, 617, 619, 627, 629, 633, 651, 653, 657, 659, 661, 679, 681, 693, 697, 699, 6X7, 6X9, 6E1, 701, 703, 711, 713, 719, 727, 729, 739, 741, 767, 771, 773, 779, 781, 783, 791, 797, 7E7, 803, 813, 823, 827, 831, 839, 841, 843, 849, 857, 867, 869, 879, 881, 883, 891, 893, 8X3, 8X9, 8E1, 8E7, 907, 911, 923, 929, 937, 951, 959, 961, 977, 979, 983, 989, 9X1, 9X3, 9E7, X01, X13, X17, X27, X29, X39, X43, X47, X49, X51, X53, X67, X79, X87, X89, XX3, XX7, XE3, XE7, E01, E03, E11, E13, E23, E47, E49, E51, E63, E67, E77, E91, E99, EX1, EX7, EE7, ... (all end with 1, 3, 7 or 9)

Lucky primes: 3, 7, 11, 27, 31, 37, 57, 61, 67, X7, 107, 117, 141, 157, 167, 181, 1E7, 217, 237, 251, 267, 2X1, 2E1, 301, 327, 347, 391, 401, 421, 431, 437, 447, 457, 481, 507, 517, 541, 557, 587, 617, 661, 6X7, 6E1, 701, 711, 727, 767, 771, 791, 797, 841, 867, 881, 8E7, 907, X17, X27, X87, XX7, XE7, E11, E67, E91, EE7, 1041, 1061, 1087, 1107, 1151, 1197, 1231, 1257, 1281, 1351, 1367, 1377, 13X1, 1407, 1517, 1521, 1591, 1601, 1647, 1667, 1681, 1751, 1797, 1807, 1861, 1877, 1911, 1921, 1971, 1981, 19E7, 1X17, 1X51, 1X77, 1XE1, 1XE7, 1E01, 1EX1, 2037, 2087, 2097, 2107, 2111, 2181, 2191, 21X7, 2241, 2287, 2301, 2337, 2347, 2397, 2481, 2521, 2637, 26X1, 2717, 2747, 2781, 2787, 2811, 2847, 2941, 2951, 2X47, 2X61, 2X77, 2X81, 2X87, 2EE7, 3041, 3177, 31X1, 3227, 3247, 3281, 3321, 3371, 33X1, 3457, 3467, 3477, 3491, 3517, 3627, 3697, 3717, 3731, 3767, 3791, 3827, 3831, 3837, 3877, 3961, 3X31, 3X47, 3X91, 3XE7, 3E61, 3E87, 3E97, 4111, 4161, 4207, 4231, 42X1, 42E1, 4397, 4401, 4417, 4451, 4487, 4497, 4507, 4547, 4571, 4727, 4737, 4821, 4881, 48X7, 4911, 4921, 4947, 4951, 4X97, 4E37, 5001, 5007, 5067, 5367, 5391, 5451, 54E1, 5537, 5551, 5637, 5691, 56X7, 56E7, 5701, 5711, 5771, 57E7, 5817, 5877, 5961, 59E1, 5X27, 5E81, 6027, 6077, 60E1, 6117, 6171, 61E7, 6257, 6281, 62E1, 6377, 6387, 6391, 6487, 6497, 6521, 6571, 6591, 6607, 6751, 6797, 6881, 6911, 6957, 6X17, 6X21, 6X67, 6X97, 6E01, 6E07, 6E47, 6E81, 7001, 7057, 7151, 71E1, 71E7, 7207, 7261, 7287, 7317, 7321, 7351, 7477, 7491, 74X7, 7577, 7641, 7687, 7761, 7797, 7817, 7851, 7867, 7941, 79X1, 7X01, 7X27, 7X81, 7E01, 7E11, 7E37, 7E67, 8007, 8041, 8321, 8331, 8377, 8407, 8417, 8431, 8441, 8451, 8621, 8637, 8677, 8691, 8777, 8797, 8847, 8881, 8901, 8957, 8961, 8981, 89E7, 8X07, 8X41, 8E87, 9091, 91X1, 9251, 9257, 9267, 9361, 94E7, 9551, 9591, 9601, 9627, 9711, 9781, 9837, 9961, 99E1, 9X17, 9X47, 9X51, 9E61, X051, X067, X091, X0X1, X107, X137, X161, X211, X301, X321, X331, X3E7, X4X1, X537, X541, X5X7, X621, X631, X657, X691, X791, X817, X851, X877, X971, XX31, XX57, XE97, E001, E037, E061, E147, E171, E211, E231, E2X1, E331, E387, E417, E421, E487, E5E1, E677, E6X1, E747, E761, E771, E7E1, E931, E941, E947, EX51, EX87, EX97, EE17, EEE7, ...

Ludic numbers: 1, 2, 3, 5, 7, E, 11, 15, 1E, 21, 25, 31, 35, 37, 3E, 45, 51, 57, 5E, 65, 6E, 75, 77, 81, 8E, 97, 9E, X1, X7, XE, EE, 105, 111, 115, 125, 127, 12E, 131, 141, 155, 157, 165, 167, 16E, 175, 177, 17E, 187, 195, 1X1, 1E1, 1E7, 1EE, 211, 217, 221, 235, 237, 241, 245, 255, 25E, 261, 275, 27E, 285, 291, 29E, 2X7, 2XE, 2E1, 2EE, 301, 305, 311, 327, 32E, 337, 341, 351, 355, 35E, 365, 371, 37E, 387, 391, 3X1, 3E1, 401, 405, 415, 417, 427, 431, 435, 441, 457, 45E, 465, 46E, 477, 481, 491, 497, 4X1, 4X7, 4XE, 507, 511, 525, 527, 531, 547, 557, 55E, 565, 56E, 571, 577, 597, 59E, 5X1, 5XE, 5E1, 5E5, 5EE, 601, 615, 625, 641, 655, 657, 661, 665, 667, 67E, 681, 687, 691, 6X7, 6E1, 6EE, 707, 711, 72E, 731, 735, 745, 747, 771, 775, 77E, 781, 787, 797, 7X5, 7E1, 7E7, 7EE, 821, 835, 841, 847, 855, 85E, 861, 865, 867, 871, 87E, 887, 89E, 8X5, 8XE, 901, 907, 915, 917, 931, 947, 955, 957, 95E, 967, 96E, 971, 97E, 98E, 9XE, 9E7, 9EE, X01, X21, X35, X3E, X45, X57, X5E, X65, X71, X77, X81, X85, X95, X9E, XX7, XE5, E05, E15, E37, E3E, E4E, E57, E61, E6E, E77, E7E, E8E, EX1, EX5, EE1, EE5, EE7, ... (like the primes, except 2 and 3, all end with 1, 5, 7 or E (exactly 1 and the primes not divide 10))

Ludic primes: 2, 3, 5, 7, E, 11, 15, 1E, 25, 31, 35, 37, 3E, 45, 51, 57, 5E, 6E, 75, 81, 8E, X7, XE, 105, 111, 125, 12E, 131, 141, 157, 167, 16E, 175, 17E, 195, 1E1, 1E7, 217, 221, 237, 241, 255, 25E, 27E, 285, 291, 2XE, 2E1, 2EE, 301, 327, 32E, 35E, 365, 391, 401, 415, 427, 431, 435, 457, 45E, 465, 46E, 481, 497, 507, 511, 527, 531, 557, 565, 577, 59E, 5E1, 5E5, 5EE, 615, 655, 661, 665, 687, 6X7, 6E1, 711, 735, 745, 747, 771, 775, 77E, 797, 7EE, 835, 841, 855, 85E, 865, 867, 871, 8X5, 8XE, 901, 907, 955, 95E, 971, 9XE, 9EE, X35, X3E, X45, X5E, X77, X95, X9E, XX7, E15, E37, E61, E6E, EX5, EE5, EE7, 1041, 106E, 107E, 1087, 109E, 1105, 1125, 112E, 114E, 1185, 1197, 11X1, 11X5, 1201, 121E, 123E, 1257, 127E, 1295, 1301, 1337, 133E, 136E, 1377, 138E, 13X1, 13E5, 1425, 143E, 1445, 1457, 1461, 1465, 1467, 1475, 148E, 1495, 150E, 1517, 1525, 1547, 156E, 15EE, 1625, 165E, 1671, 167E, 1697, 16E5, 16E7, 1735, 1757, 1785, 17X1, 17X5, 17EE, 181E, 183E, 184E, 1865, 186E, 1875, 18X1, 18XE, 1911, 1937, 194E, 197E, 1981, 1X1E, 1X45, 1X6E, 1X71, 1X87, 1XXE, 1XE1, 1E0E, 1E27, 1E3E, 1E41, 1E51, 1E85, 1EX1, 1EE5, 2051, 206E, 2077, 2097, 20X7, 20E5, 211E, 2127, 214E, 215E, 2161, 2181, 222E, 2241, 2245, 2275, 2287, 228E, 229E, 22E1, 22E5, 231E, 232E, 2337, 2385, 23X5, 2435, 2467, 2485, 252E, 2565, 2571, 2595, 2665, 2675, 2687, 26XE, 26E5, 26EE, 2725, 2745, 27X7, 2811, 2825, 2847, 286E, 2895, 2935, 2941, 2951, 2955, 2X31, 2X51, 2X65, 2X8E, 2XX7, 2XEE, 2E31, 2E8E, 2EX7, 2EXE, 3011, 3041, 3065, 3075, 307E, 30E7, 3145, 3175, 3187, 31EE, 3225, 3227, 3241, 324E, 3277, 3291, 3331, 3335, 3345, 3365, 33X5, 3427, 3435, 346E, 3475, 3477, 3481, 348E, 34EE, 356E, 358E, 3617, 3635, 3655, 36X5, 3747, 3771, 378E, 379E, 3801, 3807, 3815, 3831, 3871, 3895, 38E5, 396E, 3981, 3X2E, 3X57, 3X67, 3XE5, 3E2E, 3E47, 3EE7, 4005, 402E, 4047, 405E, 4067, 4145, 415E, 417E, 41X1, 420E, 4211, 4231, 428E, 4305, 4357, 4361, 4375, 438E, 440E, 445E, 4485, 4497, 449E, 44E1, 4515, 4541, 455E, 4571, 4591, 4635, 4681, 4707, 4715, 4761, 4775, 4781, 47E1, 4831, 483E, 484E, 491E, 4947, 4971, 4991, 4X0E, 4X2E, 4X7E, 4X97, 4E05, 4E3E, 4EXE, 5031, 5061, 5077, 5085, 5095, 50EE, 5131, 513E, 5145, 5165, 516E, 5187, 51E7, 521E, 525E, 5271, 5297, 52XE, 5371, 5375, 5391, 540E, 5421, 5451, 5455, 54X5, 5551, 558E, 559E, 5637, 563E, 5681, 569E, 5725, 5735, 5741, 57E1, 580E, 5821, 5835, 583E, 5877, 5897, 5931, 5985, 5X45, 5X5E, 5X81, 5X85, 5XEE, 5E25, 5E37, 5E75, 5E8E, 601E, 6055, 6091, 6101, 6201, 620E, 6257, 6281, 634E, 6351, 6375, 6387, 63E5, 6411, 6441, 64X5, 64X7, 6505, 6521, 655E, 656E, 6591, 65X5, 6617, 6621, 6625, 6647, 6667, 66E5, 6707, 673E, 675E, 6777, 678E, 6795, 67X1, 67EE, 6807, 6825, 6827, 6881, 68E5, 6911, 692E, 6957, 6995, 699E, 6X05, 6X17, 6X1E, 6X85, 6E15, 6E17, 6E47, 6E4E, 6E77, 6EX1, 7005, 7015, 7085, 70XE, 7101, 7111, 7131, 7151, 718E, 7207, 7225, 7241, 7245, 7257, 727E, 728E, 730E, 7317, 7341, 7347, 7361, 7391, 7395, 73X5, 7421, 7427, 7507, 7531, 7565, 7585, 75X5, 7665, 7687, 76EE, 7705, 7715, 774E, 7761, 77X5, 780E, 7841, 7855, 7867, 7917, 7941, 7955, 79X1, 7X01, 7X47, 7X51, 7E0E, 7E11, 7E15, 7E65, 7E9E, 8041, 8045, 804E, 80EE, 8187, 8195, 8197, 8227, 8235, 8251, 8291, 82E5, 8357, 835E, 8371, 8377, 8407, 840E, 841E, 8427, 8475, 8487, 849E, 84E1, 8511, 8515, 8517, 85E7, 860E, 862E, 8645, 866E, 86E7, 8717, 872E, 878E, 8797, 879E, 88XE, 8901, 890E, 8915, 8935, 8957, 8961, 898E, 89EE, 8X05, 8X07, 8X55, 8X57, 8X9E, 8XX7, 8E05, 8E45, 8EE1, 9015, 9077, 9091, 909E, 9135, 9145, 9155, 915E, 9165, 9177, 91X7, 926E, 92E1, 931E, 9367, 93EE, 940E, 9447, 9455, 9475, 947E, 9487, 94E7, 9577, 9601, 960E, 9615, 96XE, 96E5, 9707, 9711, 9737, 973E, 9761, 9781, 97XE, 9831, 9837, 984E, 986E, 988E, 98E7, 991E, 9935, 9961, 9967, 99XE, 99E1, 99E7, 9X51, 9X8E, 9E1E, 9E3E, 9E57, X031, X035, X03E, X05E, X081, X095, X107, X117, X211, X24E, X275, X295, X2E7, X32E, X365, X367, X37E, X3X5, X42E, X46E, X4X1, X551, X565, X5X7, X5E1, X691, X695, X71E, X791, X841, X875, X951, X971, XX45, XX57, XE2E, XE3E, XE41, XE91, E095, E125, E127, E167, E265, E27E, E31E, E327, E385, E395, E3XE, E465, E481, E4EE, E51E, E555, E561, E571, E5E1, E63E, E665, E675, E685, E6E7, E707, E72E, E78E, E835, E861, E885, E8X7, E925, E937, E945, E98E, E9E5, EX87, EE75, EE97, EEE7, ...

Prime patterns Edit

Twin prime pairs: (3, 5), (5, 7), (E, 11), (15, 17), (25, 27), (35, 37), (4E, 51), (5E, 61), (85, 87), (8E, 91), (E5, E7), (105, 107), (12E, 131), (13E, 141), (145, 147), (16E, 171), (17E, 181), (1X5, 1X7), (1E5, 1E7), (21E, 221), (24E, 251), (2XE, 2E1), (2EE, 301), (325, 327), (375, 377), (3E5, 3E7), (41E, 421), (435, 437), (455, 457), (46E, 471), (575, 577), (585, 587), (58E, 591), (5E5, 5E7), (615, 617), (70E, 711), (71E, 721), (735, 737), (745, 747), (76E, 771), (7EE, 801), (865, 867), (8X5, 8X7), (8E5, 8E7), (905, 907), (91E, 921), (9XE, 9E1), (X0E, X11), (X35, X37), (X3E, X41), (E1E, E21), (E2E, E31), (E6E, E71), (E95, E97), (EE5, EE7), ... (except (3, 5), all end with (5, 7) or (E, 1)) (the sums of all such pairs except (3, 5) end with 0) (the products of all such pairs except (3, 5) end with E)

Prime quadruplets: (5, 7, E, 11), (E, 11, 15, 17), (85, 87, 8E, 91), (13E, 141, 145, 147), (585, 587, 58E, 591), (X35, X37, X3E, X41), (10EE, 1101, 1105, 1107), (1255, 1257, 125E, 1261), (1X6E, 1X71, 1X75, 1X77), (2005, 2007, 200E, 2011), (332E, 3331, 3335, 3337), (555E, 5561, 5565, 5567), (7635, 7637, 763E, 7641), (9075, 9077, 907E, 9081), (912E, 9131, 9135, 9137), (9365, 9367, 936E, 9371), (X535, X537, X53E, X541), (XE3E, XE41, XE45, XE47), (E2X5, E2X7, E2XE, E2E1), ... (all end with (5, 7, E, 1) or (E, 1, 5, 7))

Cousin primes: (3, 7), (7, E), (11, 15), (17, 1E), (31, 35), (37, 3E), (57, 5E), (67, 6E), (81, 85), (87, 8E), (91, 95), (X7, XE), (117, 11E), (141, 145), (167, 16E), (171, 175), (1E1, 1E5), (217, 21E), (221, 225), (251, 255), (277, 27E), (291, 295), (307, 30E), (321, 325), (327, 32E), (347, 34E), (357, 35E), (431, 435), (457, 45E), (481, 485), (517, 51E), (531, 535), (541, 545), (587, 58E), (5E1, 5E5), (5E7, 5EE), (611, 615), (617, 61E), (637, 63E), (661, 665), (687, 68E), (701, 705), (767, 76E), (771, 775), (851, 855), (8X7, 8XE), (901, 905), (907, 90E), (9X7, 9XE), (9E1, 9E5), (X07, X0E), (X37, X3E), (X41, X45), (X91, X95), (XX7, XXE), (XE7, XEE), (E11, E15), (E21, E25), (E67, E6E), (E91, E95), ...

Sexy primes: (5, E), (7, 11), (E, 15), (11, 17), (15, 1E), (1E, 25), (27, 31), (31, 37), (35, 3E), (3E, 45), (45, 4E), (51, 57), (57, 61), (61, 67), (6E, 75), (81, 87), (85, 8E), (87, 91), (8E, 95), (XE, E5), (107, 111), (111, 117), (11E, 125), (125, 12E), (13E, 145), (141, 147), (167, 171), (16E, 175), (175, 17E), (18E, 195), (195, 19E), (19E, 1X5), (1X7, 1E1), (1E1, 1E7), (217, 221), (21E, 225), (237, 241), (24E, 255), (255, 25E), (267, 271), (271, 277), (27E, 285), (301, 307), (30E, 315), (321, 327), (325, 32E), (35E, 365), (391, 397), (3X5, 3XE), (3XE, 3E5), (3E7, 401), (40E, 415), (415, 41E), (421, 427), (427, 431), (431, 437), (455, 45E), (45E, 465), (465, 46E), (485, 48E), (507, 511), (511, 517), (527, 531), (585, 58E), (587, 591), (5E1, 5E7), (5E5, 5EE), (611, 617), (615, 61E), (665, 66E), (66E, 675), (68E, 695), (695, 69E), (6X7, 6E1), (705, 70E), (721, 727), (747, 751), (767, 771), (76E, 775), (775, 77E), (77E, 785), (791, 797), (797, 7X1), (825, 82E), (82E, 835), (855, 85E), (85E, 865), (867, 871), (8X5, 8XE), (8XE, 8E5), (8E7, 901), (901, 907), (905, 90E), (921, 927), (955, 95E), (95E, 965), (9X7, 9E1), (9XE, 9E5), (9E5, 9EE), (X07, X11), (X11, X17), (X35, X3E), (X37, X41), (X3E, X45), (X45, X4E), (X87, X91), (X95, X9E), (E15, E1E), (E1E, E25), (E25, E2E), (E31, E37), (E61, E67), (E67, E71), (E91, E97), ...

Divisors of a number Edit

Divisors of 104 (=10000): 1, 2, 3, 4, 6, 8, 9, 10, 14, 16, 20, 23, 28, 30, 40, 46, 54, 60, 69, 80, 90, X8, 100, 116, 140, 160, 194, 200, 230, 280, 300, 400, 460, 540, 600, 800, 900, 1000, 1400, 1600, 2000, 3000, 4000, 6000, 10000 (there are 39 such numbers)

Divisors of 106 (=1000000): 1, 2, 3, 4, 6, 8, 9, 10, 14, 16, 20, 23, 28, 30, 40, 46, 54, 60, 69, 80, 90, X8, 100, 116, 140, 160, 183, 194, 200, 230, 280, 300, 346, 368, 400, 460, 509, 540, 600, 690, 714, 800, 900, X16, X80, 1000, 1160, 1228, 1400, 1600, 1830, 1940, 2000, 2300, 2454, 2800, 3000, 3460, 3680, 4000, 4600, 5400, 6000, 6900, 7140, 8000, 9000, X800, 10000, 11600, 14000, 16000, 19400, 20000, 23000, 28000, 30000, 40000, 46000, 54000, 60000, 80000, 90000, 100000, 140000, 160000, 200000, 300000, 400000, 600000, 1000000 (there are 77 such numbers)

Divisors of 10! (=114500000): 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 12, 13, 14, 16, 18, 19, 1X, 20, 21, 23, 24, 26, 28, 29, 2E, 30, 34, 36, 38, 39, 40, 42, 46, 47, 48, 50, 53, 54, 56, 5X, 60, 63, 65, 68, 69, 70, 74, 76, 80, 83, 84, 89, 90, 92, 94, X0, X6, X8, E0, E3, E8, 100, 106, 10X, 114, 116, 119, 120, 127, 128, 130, 139, 140, 146, 148, 156, 160, 164, 168, 169, 173, 180, 183, 190, 194, 1X0, 1X6, 1XE, 1E4, 200, 209, 210, 218, 223, 228, 230, 236, 240, 252, 254, 260, 276, 280, 281, 290, 294, 299, 2E0, 300, 308, 314, 316, 326, 340, 346, 353, 360, 368, 379, 380, 390, 39X, 3X8, 3E3, 400, 416, 420, 434, 446, 454, 460, 470, 480, 483, 499, 4X4, 4X8, 500, 530, 540, 542, 560, 568, 576, 589, 5X0, 600, 614, 623, 628, 630, 650, 669, 680, 690, 6X6, 700, 714, 736, 740, 760, 778, 794, 7X6, 800, 803, 830, 840, 853, 868, 890, 8X8, 900, 920, 940, 946, 976, 988, 994, X00, X39, X60, X80, X84, XE3, E00, E14, E30, E56, E80, E99, 1000, ..., 114500000 (there are 560 such numbers)

Divisors of 20! (=115X0828098X40000000000): 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1X, 1E, 20, 21, 22, 23, 24, 26, 28, 29, 2X, 2E, 30, 32, 33, 34, 36, 38, 39, 3X, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 53, 54, 55, 56, 58, 59, 5X, 60, 63, 64, 65, 66, 68, 69, 70, 71, 74, 76, 77, 78, 7E, 80, 82, 83, 84, 86, 88, 89, 90, 92, 94, 96, 97, 99, 9E, X0, X1, X5, X6, X8, XX, E0, E1, E3, E4, E6, E8, EE, 100, 103, 106, 108, 109, 10X, 110, 114, 115, 116, 119, 120, 122, 123, 127, 128, 130, 132, 134, 137, 139, 13X, 140, 143, 144, 146, 148, 150, 153, 154, 155, 156, 160, 164, 165, 168, 169, 170, 172, 173, 176, 17X, 180, 182, 183, 185, 187, 18X, 190, 191, 193, 194, 198, 1X0, 1X2, 1X6, 1X8, 1X9, 1XE, 1E0, 1E4, 1E9, 1EX, 200, 206, 209, 20E, 210, 214, 216, 218, 220, 223, 228, 22X, 22E, 230, 231, 236, 240, 244, 246, 247, 249, 252, 253, 254, 259, 260, 263, 264, 268, 272, 273, 276, 278, 280, 281, 286, 287, 288, 290, 293, 294, 299, 2X0, 2X6, 2X8, 2XX, 2E0, 2E5, 2E9, 300, 305, 308, 309, 30X, 314, 316, 31E, 320, 323, 324, 326, 330, 337, 338, 340, 343, 344, 346, 34X, 352, 353, 358, 360, 362, 366, 368, 369, 374, 379, 380, 384, 38E, 390, 394, 396, 39X, 3X0, 3X8, 3X9, 3E3, 3E6, 3E8, 3EE, 400, 409, 410, 416, 417, 41X, 420, 425, 428, 430, 434, 439, 440, 441, 443, 446, 451, 454, 458, 45X, 460, 462, 470, 473, 475, 480, 483, 488, 490, 492, 496, 499, 4X4, 4X6, 4X8, 4E6, 4E7, 500, 506, 508, 509, 513, 514, 519, 524, 526, 530, 533, 534, 539, 540, 542, 550, 552, 554, 560, 566, 568, 571, 576, 580, 583, 589, 590, 594, 595, 598, 5X0, 5X7, 5XX, 5E3, 5E6, 600, 60X, 60E, 614, 616, 618, 623, 628, 629, 630, 63X, 640, 646, 648, 650, 657, 65E, 660, 669, 672, 674, 680, 686, 688, 689, 690, 693, 698, 6X4, 6X6, 6E4, 6E5, 700, 704, 710, 714, 716, 719, 723, 728, 731, 736, 739, 740, 748, 753, 75X, 760, 768, 769, 770, 778, 780, 781, 794, 796, 799, 79E, 7X6, 7E0, 7E4, 7EX, 800, 803, 816, 819, 820, 830, 832, 838, 839, 840, 84X, 853, 854, 860, 861, 868, 86E, 876, 880, 882, 886, 890, 895, 8X2, 8X3, 8X8, 8E3, 8E4, 8E8, 900, 904, 911, 913, 920, 923, 926, 92X, 940, 946, 954, 959, 960, 964, 967, 969, 970, 976, 988, 990, 994, 9X9, 9E0, 9E2, X00, X09, X10, X14, X16, X1E, X26, X28, X36, X39, X47, X48, X50, X60, X66, X68, X76, X80, X83, X84, X8E, XX0, XX4, XX8, XE1, XE3, E00, E10, E14, E22, E27, E29, E30, E35, E40, E46, E56, E60, E68, E6X, E74, E80, E83, E92, E98, E99, EX6, EXE, EE0, EE9, 1000, ..., 115X0828098X40000000000 (there are E8680 such numbers)

Multiples of a number Edit

Multiples of 3: 0, 3, 6, 9, 10, 13, 16, 19, 20, 23, 26, 29, 30, 33, 36, 39, 40, 43, 46, 49, 50, 53, 56, 59, 60, 63, 66, 69, 70, 73, 76, 79, 80, 83, 86, 89, 90, 93, 96, 99, X0, X3, X6, X9, E0, E3, E6, E9, 100, ...

Multiples of 4: 0, 4, 8, 10, 14, 18, 20, 24, 28, 30, 34, 38, 40, 44, 48, 50, 54, 58, 60, 64, 68, 70, 74, 78, 80, 84, 88, 90, 94, 98, X0, X4, X8, E0, E4, E8, 100, 104, 108, 110, 114, 118, 120, 124, 128, 130, 134, 138, 140, ...

Multiples of 5: 0, 5, X, 13, 18, 21, 26, 2E, 34, 39, 42, 47, 50, 55, 5X, 63, 68, 71, 76, 7E, 84, 89, 92, 97, X0, X5, XX, E3, E8, 101, 106, 10E, 114, 119, 122, 127, 130, 135, 13X, 143, 148, 151, 156, 15E, 164, 169, 172, 177, 180, ...

Multiples of 6: 0, 6, 10, 16, 20, 26, 30, 36, 40, 46, 50, 56, 60, 66, 70, 76, 80, 86, 90, 96, X0, X6, E0, E6, 100, 106, 110, 116, 120, 126, 130, 136, 140, 146, 150, 156, 160, 166, 170, 176, 180, 186, 190, 196, 1X0, 1X6, 1E0, 1E6, 200, ...

Multiples of 7: 0, 7, 12, 19, 24, 2E, 36, 41, 48, 53, 5X, 65, 70, 77, 82, 89, 94, 9E, X6, E1, E8, 103, 10X, 115, 120, 127, 132, 139, 144, 14E, 156, 161, 168, 173, 17X, 185, 190, 197, 1X2, 1X9, 1E4, 1EE, 206, 211, 218, 223, 22X, 235, 240, ...

Multiples of 8: 0, 8, 14, 20, 28, 34, 40, 48, 54, 60, 68, 74, 80, 88, 94, X0, X8, E4, 100, 108, 114, 120, 128, 134, 140, 148, 154, 160, 168, 174, 180, 188, 194, 1X0, 1X8, 1E4, 200, 208, 214, 220, 228, 234, 240, 248, 254, 260, 268, 274, 280, ...

Multiples of 9: 0, 9, 16, 23, 30, 39, 46, 53, 60, 69, 76, 83, 90, 99, X6, E3, 100, 109, 116, 123, 130, 139, 146, 153, 160, 169, 176, 183, 190, 199, 1X6, 1E3, 200, 209, 216, 223, 230, 239, 246, 253, 260, 269, 276, 283, 290, 299, 2X6, 2E3, 300, ...

Multiples of X: 0, X, 18, 26, 34, 42, 50, 5X, 68, 76, 84, 92, X0, XX, E8, 106, 114, 122, 130, 13X, 148, 156, 164, 172, 180, 18X, 198, 1X6, 1E4, 202, 210, 21X, 228, 236, 244, 252, 260, 26X, 278, 286, 294, 2X2, 2E0, 2EX, 308, 316, 324, 332, 340, ...

Multiples of E: 0, E, 1X, 29, 38, 47, 56, 65, 74, 83, 92, X1, E0, EE, 10X, 119, 128, 137, 146, 155, 164, 173, 182, 191, 1X0, 1XE, 1EX, 209, 218, 227, 236, 245, 254, 263, 272, 281, 290, 29E, 2XX, 2E9, 308, 317, 326, 335, 344, 353, 362, 371, 380, ...

Multiples of 10: 0, 10, 20, 30, 40, 50, 60, 70, 80, 90, X0, E0, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 1X0, 1E0, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 2X0, 2E0, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 3X0, 3E0, 400, ...

Multiples of 11: 0, 11, 22, 33, 44, 55, 66, 77, 88, 99, XX, EE, 110, 121, 132, 143, 154, 165, 176, 187, 198, 1X9, 1EX, 20E, 220, 231, 242, 253, 264, 275, 286, 297, 2X8, 2E9, 30X, 31E, 330, 341, 352, 363, 374, 385, 396, 3X7, 3E8, 409, 41X, 42E, 440, ...

Multiples of 12: 0, 12, 24, 36, 48, 5X, 70, 82, 94, X6, E8, 10X, 120, 132, 144, 156, 168, 17X, 190, 1X2, 1E4, 206, 218, 22X, 240, 252, 264, 276, 288, 29X, 2E0, 302, 314, 326, 338, 34X, 360, 372, 384, 396, 3X8, 3EX, 410, 422, 434, 446, 458, 46X, 480, ...

Multiples of 13: 0, 13, 26, 39, 50, 63, 76, 89, X0, E3, 106, 119, 130, 143, 156, 169, 180, 193, 1X6, 1E9, 210, 223, 236, 249, 260, 273, 286, 299, 2E0, 303, 316, 329, 340, 353, 366, 379, 390, 3X3, 3E6, 409, 420, 433, 446, 459, 470, 483, 496, 4X9, 500, ...

Multiples of 14: 0, 14, 28, 40, 54, 68, 80, 94, X8, 100, 114, 128, 140, 154, 168, 180, 194, 1X8, 200, 214, 228, 240, 254, 268, 280, 294, 2X8, 300, 314, 328, 340, 354, 368, 380, 394, 3X8, 400, 414, 428, 440, 454, 468, 480, 494, 4X8, 500, 514, 528, 540, ...

Multiples of 15: 0, 15, 2X, 43, 58, 71, 86, 9E, E4, 109, 122, 137, 150, 165, 17X, 193, 1X8, 201, 216, 22E, 244, 259, 272, 287, 2X0, 2E5, 30X, 323, 338, 351, 366, 37E, 394, 3X9, 402, 417, 430, 445, 45X, 473, 488, 4X1, 4E6, 50E, 524, 539, 552, 567, 580, ...

Multiples of 16: 0, 16, 30, 46, 60, 76, 90, X6, 100, 116, 130, 146, 160, 176, 190, 1X6, 200, 216, 230, 246, 260, 276, 290, 2X6, 300, 316, 330, 346, 360, 376, 390, 3X6, 400, 416, 430, 446, 460, 476, 490, 4X6, 500, 516, 530, 546, 560, 576, 590, 5X6, 600, ...

Multiples of 17: 0, 17, 32, 49, 64, 7E, 96, E1, 108, 123, 13X, 155, 170, 187, 1X2, 1E9, 214, 22E, 246, 261, 278, 293, 2XX, 305, 320, 337, 352, 369, 384, 39E, 3E6, 411, 428, 443, 45X, 475, 490, 4X7, 502, 519, 534, 54E, 566, 581, 598, 5E3, 60X, 625, 640, ...

Multiples of 18: 0, 18, 34, 50, 68, 84, X0, E8, 114, 130, 148, 164, 180, 198, 1E4, 210, 228, 244, 260, 278, 294, 2E0, 308, 324, 340, 358, 374, 390, 3X8, 404, 420, 438, 454, 470, 488, 4X4, 500, 518, 534, 550, 568, 584, 5X0, 5E8, 614, 630, 648, 664, 680, ...

Multiples of 19: 0, 19, 36, 53, 70, 89, X6, 103, 120, 139, 156, 173, 190, 1X9, 206, 223, 240, 259, 276, 293, 2E0, 309, 326, 343, 360, 379, 396, 3E3, 410, 429, 446, 463, 480, 499, 4E6, 513, 530, 549, 566, 583, 5X0, 5E9, 616, 633, 650, 669, 686, 6X3, 700, ...

Multiples of 1X: 0, 1X, 38, 56, 74, 92, E0, 10X, 128, 146, 164, 182, 1X0, 1EX, 218, 236, 254, 272, 290, 2XX, 308, 326, 344, 362, 380, 39X, 3E8, 416, 434, 452, 470, 48X, 4X8, 506, 524, 542, 560, 57X, 598, 5E6, 614, 632, 650, 66X, 688, 6X6, 704, 722, 740, ...

Multiples of 1E: 0, 1E, 3X, 59, 78, 97, E6, 115, 134, 153, 172, 191, 1E0, 20E, 22X, 249, 268, 287, 2X6, 305, 324, 343, 362, 381, 3X0, 3EE, 41X, 439, 458, 477, 496, 4E5, 514, 533, 552, 571, 590, 5XE, 60X, 629, 648, 667, 686, 6X5, 704, 723, 742, 761, 780, ...

Multiples of 20: 0, 20, 40, 60, 80, X0, 100, 120, 140, 160, 180, 1X0, 200, 220, 240, 260, 280, 2X0, 300, 320, 340, 360, 380, 3X0, 400, 420, 440, 460, 480, 4X0, 500, 520, 540, 560, 580, 5X0, 600, 620, 640, 660, 680, 6X0, 700, 720, 740, 760, 780, 7X0, 800, ...

nth Powers Edit

Squares (4-gonal numbers): 0, 1, 4, 9, 14, 21, 30, 41, 54, 69, 84, X1, 100, 121, 144, 169, 194, 201, 230, 261, 294, 309, 344, 381, 400, 441, 484, 509, 554, 5X1, 630, 681, 714, 769, 804, 861, 900, 961, X04, X69, E14, E81, 1030, 10X1, 1154, 1209, 1284, 1341, 1400, 1481, 1544, 1609, 1694, 1761, 1830, 1901, 1994, 1X69, 1E44, 2021, 2100, 21X1, 2284, 2369, 2454, 2541, 2630, 2721, 2814, 2909, 2X04, 2E01, 3000, 3101, 3204, 3309, 3414, 3521, 3630, 3741, 3854, 3969, 3X84, 3EX1, 4100, 4221, 4344, 4469, 4594, 4701, 4830, 4961, 4X94, 5009, 5144, 5281, 5400, 5541, 5684, 5809, 5954, 5XX1, 6030, 6181, 6314, 6469, 6604, 6761, 6900, 6X61, 7004, 7169, 7314, 7481, 7630, 77X1, 7954, 7E09, 8084, 8241, 8400, 8581, 8744, 8909, 8X94, 9061, 9230, 9401, 9594, 9769, 9944, 9E21, X100, X2X1, X484, X669, X854, XX41, E030, E221, E414, E609, E804, EX01, 10000, ... (all end with squares (0, 1, 4, 9))

Cubes (hexahedral numbers, 6-hedral numbers): 0, 1, 8, 23, 54, X5, 160, 247, 368, 509, 6E4, 92E, 1000, 1331, 1708, 1E53, 2454, 2X15, 3460, 3E77, 4768, 5439, 61E4, 705E, 8000, 9061, X208, E483, 10854, 12145, 13760, 152X7, 16E68, 18969, 1X8E4, 2098E, 23000, 25391, 27908, 2X3E3, 31054, 33X75, 36X60, 3X017, 41368, 44899, 483E4, 500EE, 54000, 58101, 60408, 64923, 69454, 721X5, 77160, 80347, 85768, 8E209, 94XE4, 9XX2E, X5000, XE431, E5E08, 100853, 107854, 112E15, 11X460, 126077, 131E68, 13X139, 1465E4, 15315E, 160000, 169161, 176608, 184183, 192054, 1X0245, 1XX760, 1E93X7, 208368, 217669, 2270E4, 236X8E, 247000, 257491, 268108, 2790E3, 28X454, 29EE75, 2E1X60, 304117, 316768, 329599, 3407E4, 3541EE, 368000, 380201, 394808, 3X9623, 402854, 4182X5, 432160, 448447, 462E68, 479E09, 4952E4, 4E0E2E, 509000, 525531, 542308, 55E553, 579054, 597015, 5E5460, 614177, 633368, 652X39, 6729E4, 69325E, 6E4000, 715261, 736X08, 758X83, 77E454, 7X2345, 805760, 8294X7, 851768, 876369, 89E4E4, 904E8E, 92E000, 955591, 980508, 9X79E3, X13854, X40075, X68X60, X96217, E03E68, E32299, E60EE4, E902EE, 1000000, ... (can end with any digits except 2, 6, X)

4th powers: 0, 1, 14, 69, 194, 441, 900, 1481, 2454, 3969, 5954, 8581, 10000, 14641, 1X294, 25369, 31E14, 40401, 50900, 63501, 78714, 94669, E3694, 115E41, 140000, 16X081, 1X0554, 217669, 257854, 2X1381, 330900, 386541, 426994, 492369, 545414, 604501, 690000, 764701, 846814, 936969, X35594, ...

5th powers: 0, 1, 28, 183, 714, 1985, 4600, 9887, 16E68, 2X209, 49X54, 7924E, 100000, 15XX51, 21E2X8, 307553, 426994, 585815, 771600, 9E4E17, 10X3X28, 144E599, 1886514, 21X489E, 2800000, 332E4X1, 3E8E968, 497E923, 591E854, 6X51X65, 817X600, 9707967, E2X20X8, 11133969, 13271794, 1570X72E, 18300000, 1E281731, 22651828, 262710E3, 2X363314, ...

6th powers: 0, 1, 54, 509, 2454, 9061, 23000, 58101, 107854, 217669, 402854, 715261, 1000000, 1749361, 2631454, 3993969, 5751054, 8100601, E483000, 13909761, 19525054, 24881209, 31E79454, 416E0E01, 54000000, 69919101, 87556854, X98E5809, 115473854, 147256561, 184183000, 209281801, 25E716454, 300615369, 371428054, 43376E161, 509000000, 5E730E461, 700434054, 822506069, 9638XX454, ...

7th powers: 0, 1, X8, 1323, 9594, 39265, 116000, 338707, 851768, 1727E09, 3423054, 663936E, 10000000, 19020971, 2E377228, 49278E53, 75X94714, E5508615, 151046000, 20E432X77, 2E88048X8, 423220739, 597432194, 7E032911E, X80000000, 122407E121, 1681X06368, 203E199183, 2746907854, 3414E47385, 42X4276000, 53E9E03827, 67XE00EX28, 83149E6969, X219E69314, 1057712548E, 13230000000, 164945E0X91, 1X2116694X8, 2271X4779E3, 27905826994, ...

8th powers: 0, 1, 194, 3969, 31E14, 16X081, 690000, 1E20141, 5751054, 124EE369, 295X6454, 5E956341, 100000000, 1X922X481, 3522X4714, 5E6382369, 9EX461594, 1428200801, 2176690000, 335E916X01, 4E6547X994, 73E6970969, X77599E314, 13216235281, 19400000000, 256X5461541, 3457E917854, 468X10E6969, 6127915E854, 80E4E617E41, X71X6690000, 119367596281, 159114277314, 1X86X3498369, 24X122922994, 304518618X01, 396900000000, 4888XX319201, 5X276X959594, 7253090X5369, 89X16E468714, ...

9th powers: 0, 1, 368, E483, 107854, 7X2345, 3460000, 11620947, 38E48368, X98E5809, 23XX93854, 55980908E, 1000000000, 207E513091, 4007414368, 754X72X553, 1139X01E854, 1XE96X0E415, 3253X160000, 52657559X17, 8328E920368, 109E2X944899, 175E88027854, 2510XX47015E, 368000000000, 517392490161, 738335968368, X31X85203623, 122X2135E3854, 17636E9X024X5, 225X844X60000, 2E70213E70XX7, 3E42E73034368, 5256X34279969, 698743X03E854, 8X0XEE9E0922E, E483000000000, 126XE557853231, 16643EX2040368, 1E4E0E559E26E3, 2549931E247854, ...

Xth powers: 0, 1, 714, 2X209, 426994, 332E4X1, 18300000, 7X725581, 25E716454, 813873069, 1E30E91054, 503X483821, 10000000000, 228746439X1, 48086970194, 93913070969, 159114277314, 286868340X01, 497E92300000, 8302X9827061, 11946E7345E14, 1X5480X483509, 2E8E5X84X1594, 479089X952X41, 7140000000000, X842X1EX93181, 139EE16685E854, 1E1130E767XE09, 29278E01X47854, 3E227X69259921, 56288E02300000, 77E15552E34141, X633XE408E5594, 12393X32735E369, 17364X2X4E31E14, 219480E5E329661, 2X2090000000000, 38E393X49029E61, 4X818762508E314, 64100129E354669, 82006X653E58194, ...

Eth powers: 0, 1, 1228, 86623, 14X3314, 14429025, X1600000, 472252387, 17E8902E68, 60E9553509, 1746996X454, 473663745XE, 100000000000, 24E3EXX817E1, 5549EE2220X8, E7846989EE53, 1E81597618194, 3X16158892215, 725E794600000, 11094714011977, 1XE7774175X628, 3335216225EX39, 55650974X68714, 8XX44XE810599E, 122800000000000, 1X349E2195365X1, 2X37X14264E4368, 43E59E21EE96X83, 65620984429E854, 960450643007205, 11969X3657600000, 1795891067177567, 2408X5229EX674X8, 3344772X20740969, 468019015EXE5594, 632476963X519E8E, 8662300000000000, E66X78E079888591, 13599539780437X28, 187330402382593E3, 23281XE15922E1E14, ...

10th powers: 0, 1, 2454, 217669, 5751054, 69919101, 509000000, 2823504201, 1139X01E854, 468X10E6969, 141981E87854, 4282E9391501, 1000000000000, 27433X9699701, 64377E0665054, 1267586205E369, 2769E8X022X454, 55418114501001, X98E5809000000, 1882X331419X301, 3234882X8596454, 58900879X459069, X0193576E439054, 1509X55045EE1X01, 2454000000000000, 3X51083588046201, 623XEXE15X873854, 98XX141X5E666069, 130X49X761X733854, 1XE6X823433153E01, 2X5E078X209000000, 43159758505283401, 629E799E678179054, 90308XX9E78222369, 10XX84E642E9056454, 1633E6099535041301, 217669000000000000, 2E7329X6100EXX1901, 4104EXX0635176X454, 56E76X1075E8093969, 768E2450E275925054, ...

11st powers: 0, 1, 48X8, 64X783, 1X584194, 2X0989505, 2646000000, 1693EE25207, 8X668139768, 350769881209, 1156097925054, 3X5689654370E, 10000000000000, 29E77284474711, 7502E2X775X628, 162341786751553, 361137942E99E14, 786X456E3115015, 1427526116000000, 2890631E16X72917, 5397X589X17X74X8, X039131831X09E99, 16433043X89XX6994, 2886E047875X4621E, 48X80000000000000, 80872532E0894X221, 1150599812927X0368, 19E04904274E877323, 2E2033096448E87854, 475E799613X65X5725, 7229774151X6000000, E009EX389015E47427, 147670X269858481228, 2098505E95016003969, 306X3X0800537380714, 45386684664E7EE792E, 64X7830000000000000, 9194E85491308534931, 10E3398397XX31E8X0X8, 161797295044E26340E3, 212593X8E148E2809594, ...

12nd powers: 0, 1, 9594, 1727E09, 75X94714, 122407E121, 13230000000, XE53E650241, 5E0454X65054, 269581360X669, E270805802454, 3671208XXE35X1, 100000000000000, 309729E08EEE821, 87X35144X8X3314, 1X8X220783349969, 48158X457E912994, XE1883X9E4701201, 203E1991830000000, 43X39E0075X954561, 8X4115684X9184194, 15666E25E562755809, 2979E67E1821E45E14, 5285318X9642X7X181, 959400000000000000, 1495E00E91063712641, 250E072E67EE8E87854, 4139X8395X824514209, 6X08771X2X30E41E854, E2151X7E924582364X1, 15E7010436X830000000, 245219777733X44XEX81, 38416X32X1X724571E14, 58281X454X94160X5369, 87752X5X813028498194, 10E59E165308603XE7E61, 1727E0900000000000000, 24260410780X520358661, 34E8608407046031EX994, 4XE4426074240524X3069, 700330E9907994XX77314, ...

13rd powers: 0, 1, 16E68, 497E923, 25E716454, 5XE83375X5, 77160000000, 6481388E1447, 3E42E73034368, 1E1130E767XE09, 941X684881E854, 33060X82004242E, 1000000000000000, 33X4X08E98EE7X31, X11EEE71863E9768, 24508869741302E53, 629E799E678179054, 135953964115E17X15, 305X88786460000000, 6X140850EX40E60877, 12929X53201E29XXE68, 26856174507X706E139, 5184322650EE6X2X454, X02210408321650525E, 16E68000000000000000, 2XE93E205E2115963261, 52EEE385053E55488368, 92E7308643053E604783, 13E581883X7E225873854, 230155693528989665845, 38XE626X8E28760000000, 615467X88796E948486X7, 9X302347710323XE11768, 137745162X578418486969, 20570X1882E66779751054, 3195EE5593E096E500268E, 497E923000000000000000, 72E87072E7X81E2X874091, X990E2249X3230X0382E68, 13E6E1817EX7714X993X9E3, 1E40XX33462207443542454, ...

14th powers: 0, 1, 31E14, 124EE369, 9EX461594, 256X5461541, 396900000000, 3888921259681, 2769E8X022X454, 1539E3887EE2369, 795696EE2979054, 2E956995X03X1X81, 10000000000000000, 37232X98968E76141, E943EE63EE4792994, 2E63XX860216938369, 839365134X2X240714, 19E24645E9714941401, 468X10E696900000000, XX01514069456271801, 20748549343288623314, 4589789X8X1964015369, 95139X07939E26930194, 17241EE793X10E379E941, 31E140000000000000000, 60X652330434410X08281, E45EX602XE6699829E854, 189813X72369EEXX6X5369, 3129300350X61194107854, 5533625453773630979281, 94349652X4096900000000, 1398X924864190531821941, 2234061042X886251704194, 36EE32121X961E480E68369, 593X048X74486981304E314, 92285X4EX2533E337075801, 124EE3690000000000000000, 1X42158X41E3E1E7E0676401, 2X2X8E4E732611878E814714, 43X762554E76816E19382369, 6597022E3072X066359EX994, ...

15th powers: 0, 1, 63X28, 372E9X83, 33E5605E14, 103X42X67285, 1X94600000000, 22111428546X87, 190679X815XXE68, 10EX55965EE48809, 65X77E9E44056454, 289812E842363894E, 100000000000000000, 3X9561866438717551, 118E07E547E350934X8, 384XX747627E5774553, E104869865797149594, 270X45045870E929X815, 6X131754241600000000, 151X23114X8X08X137817, 3503X0EE5714662395228, 7X04X6539591810263299, 1534500523102684E63314, 3095E9E3XX440980016X9E, 63X2800000000000000000, 1079E498938E00628E516X1, 2078E8906390292EX174368, 3X992E8X22045E95955E023, 72X57007EX062819655E854, 1118E5EXE89947614E393565, 1E485EX111X1EXX600000000, 34X1E9922048641714167167, 5X0X9428E3872865828E08X8, 9X29E892E281E43X27949969, 1444X51520X54334E671EX994, 2295X9146691485X75699642E, 372E9X8300000000000000000, 58XX6683X9EE150E508526431, 90520418901E375464E846628, 1207651E871968516292E756E3, 1973E475962015598E75380714, ...

16th powers: 0, 1, 107854, X98E5809, 1139X01E854, 517392490161, E483000000000, 13277956E180301, 120452714EE33854, 98XX141X5E666069, 54XX47X3574473854, 260X51887X12950761, 1000000000000000000, 4282E7X30X803890X61, 1404X9343531EXX9E854, 47617329493E40626969, 12946350E476495X47854, 380283164120481001601, X31X85203623000000000, 231E16X928EEE200091X61, 5846497E13X36X3X387854, 118686533770EE1944E7E09, 27821209617X4835115E854, 5X62580859X396640302901, 107854000000000000000000, 224389033496E10E87983301, 454954E7181660057E5E3854, 893E984XXX6X156403439509, 14X85041677526302309E3854, 27927959643782194E4154461, 4X592E728X74E923000000000, 8963162873020481458005001, 136X48E33X1XE32931E395E854, 2311953150X4542X7134X2E369, 3X4596607X5721380883787854, 6618247031870891E92X696461, X98E5809000000000000000000, 1585662780499347E2720097161, 247445115866195704390647854, 39805X950E2X0947E3007931669, 60051E4E38684X345X89829E854, ...

17th powers: 0, 1, 2134X8, 2852X5023, 4533407X994, 218069EE90765, 58416000000000, 8X6566305E81907, 942E588E3E625768, 73817014X57XX6509, 46107X66X817X11054, 2369686EE2316776X6E, 10000000000000000000, 46XE27613E684059E471, 1685869E00183X8777X28, 594801058E7E207925E53, 1786046932206479X23314, 52439851E97X6755021615, 1348X079053346000000000, 370075E0742EX820125E777, 95E680126251E525224X0X8, 1EEE8E3294348X614884X439, 4X0EX19553050723408E5594, E31X8X5431X933618595331E, 2134X80000000000000000000, 46XE9296X0EE5130503229321, 978458915774101032XX60368, 178EE69E065949353076862483, 334E789775941X70531E247854, 649349E0044969238E4E5E6X85, 102251500X26654E76000000000, 1X8720E102895300E667810E027, 356387X0X3112074852213E2628, 6261XE56XE46287E16644210969, XE485051X37X3E84X0763X59E14, 16EXXXE459200716893E4999718E, 2852X50230000000000000000000, 46711121792X175457012256E791, 7673X016810757E8317X782848X8, 104517207606286619692131203E3, 18015260584640232E79435530194, ...

18th powers: 0, 1, 426994, 813873069, 159114277314, X842X1EX93181, 2X2090000000000, 5219297935990341, 629E799E678179054, 559123107X2E1X9969, 390X66958X9464XX454, 213291X4E30X50EE3841, 100000000000000000000, 4E5X1X175363046393E81, 199X7EE6X01E8660XE1E14, 728X0137226XE698615369, 2234061042X886251704194, 744148E39881E4681301801, 1E1130E767XE090000000000, 5810EX45E7889XE21XE55101, 139E314202407308078009594, 35EE6787X45E3648532861669, 8X598733E7693122154500714, 19707700320779389331113081, 42699400000000000000000000, 964X629E300X9773X567793741, 18X8184E9225XX2227036907854, 3852E043X27018X89X5011E4669, 77E72065955984850346169E854, 1356527E70X771427076E94E7X41, 2656096621644165090000000000, 4X8264477708469259E19X945681, 9289E0XX342E15786599765X8714, 150XE31640135159972E5E58E2369, 27033X327324333198593XE861594, 474899E2098X189677263076EX101, 81387306900000000000000000000, 1203X44770E592EE6927379725XE01, 1EXE2184E173E7E301E2E840670194, 3424823804782991EX0E9X10970969, 568494416EE114769X9E2361605E14, ...

19th powers: 0, 1, 851768, 203E199183, 5E0454X65054, 4559229E5X3845, 1510460000000000, 30304776504831E47, 41X792678515120368, 4139X8395X824514209, 3168957X94E994107854, 1E1E6486639967XE4478E, 1000000000000000000000, 5453EEE9089934XX113791, 215653E5E8237E710902E68, 90506175E92785617797553, 2E05481457X37432X1456454, X519E8804936915559324415, 2X77X7553EX47160000000000, 8E9869515529E838504170717, 2246922E43X901115094139768, 615E276191X492229278X88599, 14327994133X4E81EX7X1211054, 3546265060E27XX1992E114X35E, 851768000000000000000000000, 17X41XEX8531X60X30969E246361, 393178295X949608972787748368, 83E969987E993E01X25327472923, 15X708931609676E787X637E33854, 31446753011842323063X5901EEX5, 64191EX3539XX3X07X60000000000, 10772653E87297959507986X2642X7, 20736564E4E397E06936181386XE68, 3XE60E725036510EE4E17469693969, 73X94E114708132E16045112142454, 1156987E70449707X42042XX1464E2E, 203E199183000000000000000000000, 372EXE6349E4962X7X5063072827E31, 6387494773126E17661750498X25768, XX79275E130E918955924E9571E70E3, 1663EE259338E8752901137850179054, ...

1Xth powers: 0, 1, 14X3314, 60E9553509, 1E81597618194, 1X349E2195365X1, 8662300000000000, 191928548E289X1781, 29312185174E4942454, 30EX502X150193X01669, 27373X86EX1X194X65054, 19296X39E95E9130503121, 10000000000000000000000, 59993EE899670838E24E4X1, 25856274E76833632X635594, E3637804586376X806903969, 3X872299E6589983959E45E14, 12937173469206E08921641X01, 43E59E21EE96X8300000000000, 1228468E13735961X3E6661E361, 37E7338XE25E019X4536X240714, X87477191032409XX176692X209, 259XX3E16411114E7964619EX994, 6737XX37E7961195588731838841, 14X33140000000000000000000000, 35467EX936E6XX79447E283E51381, 820967X069444717097888601E854, 168E6640X5E6EE9941E5X2X7432809, 35885857361X358320246866387854, 7636EEE832912158543343X949E821, 13X44XE787369197178300000000000, 2877767933282E15E4082118464E541, 557552912522191560944575XX52994, X91787X979987EE8X46753683775369, 189067E51XEEXE72363106513E9X8714, 3332X4329609EE6XE21E045760284961, 60E95535090000000000000000000000, E14289645X81942XX316734X33425861, 17E9351880E9X1E31X7515E32X0399E14, 2E472E64311022876898XX23923480069, 519139432E05E089520384180855X1594, ...

1Eth powers: 0, 1, 2986628, 162E443X323, 7X85E26068714, 935017X8E258525, 43311600000000000, 104046E1926718XE587, 1X20951750E372296E68, 238X992170913EX611E09, 221012E19X5655X0942454, 1756935619859419472X0XE, 100000000000000000000000, 637713E867417900817442E1, 2X7X530796997X139434048X8, 1214X6705717X6574085348E53, 52356E91347790E107931EX994, 18E21133956EX99805001EX7215, 65E28X92EE84404600000000000, 1X63328170866208E4334390X677, 6134162X281X4305349E4EX8EX28, 1690E1360X9571153E8X25X1E9739, 4681XE24976000714358334399E14, 10800199033E282515E85E02E17E9E, 298662800000000000000000000000, 7225X79545614822618647429787X1, 1585884E928355E5538X8XX50434368, 3621E831E7508E70044X205X6730183, 8143939102440133485677E2881E854, 16227XEE2E97EX1694E3E15508812905, 337E0351362XXX5EX127600000000000, 70388620E53E368X435914E478696967, 126EX5E432599883X820E7XEE8E9E60X8, 25716298865E89EE3466256949EE56969, 4X976X64751E90X45E88E625936044194, 9665425518851X91X7372104X67X5E88E, 162E443X32300000000000000000000000, 2X3205147X1E15X0E5779455E813E77291, 53334X3557152217EE7628982E90115228, 96EE6757X06372X06X77E3162X502019E3, 151X4472298978X5352903996X42358E314, ...

20th powers: 0, 1, 5751054, 468X10E6969, 2769E8X022X454, 3X51083588046201, 217669000000000000, 7242806045X20248401, 12946350E476495X47854, 189813X72369EEXX6X5369, 198X1053628746X4795E854, 15X1262077X9369772772X01, 1000000000000000000000000, 69E2853831E59490898E87201, 3452216911E531964XEX856454, 157912296EE0X21020X672E2369, 6E075381862241294X4427X5054, 2579E69844XXX3X8471029X02001, 98XX141X5E666069000000000000, 2E7E212X621639321E9239E448601, X216X649057131089807039XE9054, 289X753176X694E63E65X429579969, 842E6064979001105X45201E002454, 20340358364661879X5534157423801, 5751054000000000000000000000000, 12E7232282358X90729693739X110401, 32444X295E9E5XX996133366X9333854, 7XXX53715184820909XXX7128X393969, 16E209892456142E7XE8E5X6243073854, 37E4516X2264375948E45X6128E6E7X01, 831968692973322E73069000000000000, 161975EE45692224X90EX6794EE1686801, 32X77EX346761E2245967113E3E6682454, 69472188E5X5335X035E0937X35X638369, 11X7355X1107738548E29477043E1039054, 23X09731X004706485E35E102294E752601, 468X10E6969000000000000000000000000, 89793393423E3700E446EX8E50012X53601, 14844946E38664X933X9987X815263665054, 2718X663457858627X46X971E33X3665E369, 4922673E5454196975521087XX5E77196454, ...

Powers of a number Edit

Powers of 2 (also 2-smooth numbers): 1, 2, 4, 8, 14, 28, 54, X8, 194, 368, 714, 1228, 2454, 48X8, 9594, 16E68, 31E14, 63X28, 107854, 2134X8, 426994, 851768, 14X3314, 2986628, 5751054, E2X20X8, 1X584194, 38E48368, 75X94714, 12E969228, 25E716454, 4EE2308X8, 9EX461594, 17E8902E68, 33E5605E14, 67XE00EX28, 1139X01E854, 2277803E4X8, 4533407X994, 8X668139768, 159114277314, 2E6228532628, 5E0454X65054, EX08X990X0X8, 1E81597618194, 3E42E73034368, 7X85E26068714, 1394EX50115228, 2769E8X022X454, 5317E5804588X8, X633XE408E5594, 190679X815XXE68, 361137942E99E14, 702273685E77X28, 120452714EE33854, 2408X5229EX674X8, 48158X457E912994, 942E588E3E625768, 1685XE55X7E04E314, 314E9XXE93X09X628, 629E799E678179054, 1057E377E1343360X8, 20E3X733X268670194, 41X792678515120368, 839365134X2X240714, 147670X269858481228, 29312185174E4942454, 5662434X329X96848X8, E104869865797149594, 1X20951750E372296E68, 38416X32X1X724571E14, 74831865839248E23X28, 12946350E476495X47854, 256906X1X93096E8934X8, 4E161183966171E566994, 9X302347710323XE11768, 1786046932206479X23314, 3350091664410937846628, 66X0163108821673491054, 111803062154431269620X8, 2234061042X886251704194, 446810208595504X3208368, 891420414E6XX0986414714, 1562840829E1981750829228, 2E05481457X37432X1456454, 5X0X9428E3872865828E08X8, E8196855X752550E455X1594, 1E43714XE92X4XX1X8XE82E68, 3X872299E6589983959E45E14, 79524577E0E577476E7X8EX28, 136X48E33X1XE32931E395E854, 271895X67839X65663X76EE4X8, 52356E91347790E107931EX994, X46E1E62693361X213663E9768, 1891X3E051667038427107E7314, 356387X0X3112074852213E2628, 6E075381862241294X4427X5054, 11X12X743504482569888538X0X8, 238259286X08944E17554X758194, 4744E6551815689X32XX992E4368, 9289E0XX342E15786599765X8714, 16557X198685X2E350E7730E95228, 30XE3837514E85X6X1E3261E6X454, 619X7472X29E4E9183X6503E188X8, 103792925857X9E634790X07X35594, 20736564E4E397E06936181386XE68, 41270E09X9X773X116703427519E14, 82521X179793278231206852X37X28, 144X4383373665344624114X5873854, 2898874672710X6890482298E5274X8, 557552912522191560944575XX52994, XE2XX5624X44362E01688E2E98X5768, 19X598E049888705X03155X5E758E314, 378E75X09755520E8062XE8EE2E5X628, 735E2E8172XXX41E41059E5EX5XE9054, 126EX5E432599883X820E7XEE8E9E60X8, 251E8EX864E775479441E39EE5E7E0194, 4X3E5E9509E32X936883X77EXEE3X0368, 987XEE6X17X659671547933E9EX780714, 17539EE183390E7122X93667E7E9341228, 32X77EX346761E2245967113E3E6682454, 65933E8691303X448E712227X7E11448X8, 10E667E51626078895E22445393X2289594, 21E113XX305013556EX4488X76784556E68, 43X2279860X026XE1E88955931348XE1E14, 878453750180519X3E556XE6626959X3X28, 15348X72X0340X3787XXE19E10516E787854, 2X695925806818735399X37X20X31E3534X8, 5916E64E41143526X777873841863X6X6994, E631E09X82286X5193335274835079191768, 1E063X179445518X36666X52946X136363314, 3X107833688XX358711118X56918270706628, 78213467155986E52222358E1634521211054, 1344269122XE751XX44446E5X3068X424220X8, 26885162459E2X39888891XE86115884844194, 5154X3048E7X58775555639E5022E549488368, X2X986095E38E532XXXE077XX045XX96954714, 185975016EX75XX65999X1339808E99716X9228, 34E72X031E92E990E77782677415E7723196454, 69E258063E65E761E3334513282EE32463708X8, 117X4E4107E0EE303X6668X26545EX6490721594, 23389X8213X1EX60791115850X8EE90961242E68, 467579442783E90136222E4X195EE61702485E14, 912E36885347E60270445X9836EEE0320494EX28, 1625X7154X693E0052088E97471EEX0640969E854, ... (the first number with leading digit 9 is 2^12 = 9594, and the first number with leading digit E is 2^21 = E2X20X8, besides, final digits of these numbers are 1, 2, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, ..., the period is 2 for numbers >= 2^2 (=4))

Powers of 3: 1, 3, 9, 23, 69, 183, 509, 1323, 3969, E483, 2X209, 86623, 217669, 64X783, 1727E09, 497E923, 124EE369, 372E9X83, X98E5809, 2852X5023, 813873069, 203E199183, 60E9553509, 162E443X323, 468X10E6969, 1182632X8483, 350769881209, X31X85203623, 269581360X669, 784503X627783, 1E1130E767XE09, 593392XX7E8923, 1539E3887EE2369, 43E59E21EE96X83, 10EX55965EE48809, 32E745475EX22023, 98XX141X5E666069, 2528640575X776183, 73817014X57XX6509, 19E04904274E877323, 559123107X2E1X9969, 145336931E689585483, 4139X8395X824514209, 103E580E458071340623, 30EX502X150193X01669, 92E7308643053E604783, 238X992170913EX611E09, 6E2853649233EE7635923, 189813X72369EEXX6X5369, 52503E796X85EE87873X83, 13730EXE48815EE1E19E809, 3X992E8X22045E95955E023, E8538E2666115E454459069, 2E13E297776345X141153183, 893E984XXX6X156403439509, 223EE5128878644700X0E4323, 66EEX33821E171190262X0969, 178EE69E065949353076862483, 4E2EX859175423X391X8167209, 1298E81534X406E6E3580479623, 3852E043X27018X89X5011E4669, E138910E67905282573035X1783, 293E2332X7E3138074990X564E09, 83E969987E993E01X25327472923, 20EE48551EE53E90567397X198369, 62EX21435EX3EE31479E4E6550X83, 168E6640X5E6EE9941E5X2X7432809, 482X770275X8EE5405X5687X098023, 12087X907X582EX40157481E6250069, 3621E831E7508E70044X205X6730183, X665E095XX322X90112661577990509, 277759245869688303377644XE531323, 7XXX53715184820909XXX7128X393969, 1E8873X94351206232588793826E3E483, 5E219E840X33616697521E3E0789EX209, 159655E10269X64784X3659E91E25E6623, 454745930785771E126X755E35975X7669, 1141X15391E14X9593787X459X54X57X783, 3405643E359428453XE1E715574274E7E09, X01470E9X5408113E895X9444X07X2XE923, 2604192E57402033EE2458411261E688E369, 7610538X4X00609EE97151033765X8229X83, 1X6313E272601625EE4943309XX7580685809, 57693E9797604675EX240992587X501815023, 14X83EE4E4X6117X5E670253751E7305043069, 4280EEX2X27634E75X79073XX35X9913109183, 10802EE6867X6X2XX57E319E86X585339323509, 32008EX817E7868874E9955E1875139E396X323, 96022E804EXE1821X2E5445951X33E59E486969, 246068E012E89506568X411543569EX55X218483, 7161829038E24317482703440X485E7456651209, 194650830E297094X20790X1027215XX147733623, 5417320929849242661E32630796458641X99X669, 14049962385123707765997691E471517058557783, 40125466E1336X91XX7554X835X19434915144XE09, 100374178939X883587X44280X56540X23434128923, 300XX04E23E5820X51E71080274740266X0X0382369, 902861296EX5062735X932007X1X007786260E06X83, 2308163848E731679X5839601E65601XE16762918809, 692046E122X9947E5750E4605X746058947X68352023, 183611893688541EX4X32X16157X1615241E780X36069, 50X63523X821405E7269864644E64643705XE026X6183, 13276X36E8064015X9785171712X7170X9158907876509, 397X86X8E017004584E13494938794928345231E1X7323, E4E81882904901151293X2423E1E42380X136959579969, 2X2E0520831230343383E6706E95X06E0263X84544E5483, 86891362093690X09E0EX7918E456189076E811412X4209, 218233X6623X83262592E7E352X1465231X8E03403870623, 65069E7766E809767538XE9X38641736958290X00E191669, 173185XXX78E024X7X3E28E56E17049X84508326029534783, 499515887E290727E6E982X489491258113209760843X1E09, 125434521E983197EX8E5087224233750339624X6210E65923, 3740X1365E50954EE82X321967069XX309E467276632X75369, XX0263X75X32442EE08696547918586925X1797X76987X3X83, 286076E7X5697108E92184741E35151837564E4E7X851E6E809, 8161X8XE74849322E36511X059X34350XX472X2XE8135X8E023, 20465828XX21239689X733561556X0X3287198688E03X5829069, 6117508286636E4825799X464448626981955182290E75083183, 1634X3208176X8X2074E557171121678505443506832XX3209509, 46X2696204X882661X2X4494933647E131410X318098869624323, 118678466128207765687124239X71E93940326950252184670969, 3517E117638061XX748193706E5795E3E400978430736511792483, X34E934X6E016587X2053X918X4E459EX0024E10919X7334E37209, 26X2E3X278904751E6613E835272X155E60072932355799X29X9623, 78689E67E2311X35X763EE0X37986445X60198396X44E5568584669, 1E1825X7E969356X57X6EE926XE517115760550E48712X4481511783, 5950757EE483X4874E78EE3788X349344X61432X2193871204334E09, 15431X4EEX20E721X2XE2E9XE226X23X127640986653E1936109X2923, 4409572EE662X96568898E58967866E637X70251773E953X632568369, 11024498EX768847482252X5247E178X6XE790734X9EE43E7697480X83, 33071252E7X8211X2067387371E94E2788XE319X285EX0EXX84X202809, 99193738XE8063566179E19X95E4297E22899556815E62E88126608023, 25353X9E28E016X4764E5955845X084E968254448045X68E20377620069, 73X3E85982904871X72X54451156212E480741120115782960XXX660183, 19E6EE15508312195798741133446638X201X03360344E08462887760509, 55X8E944320936544E51X0339X1176E26605609X60X1292116821XX61323, 14582E4109623X7412X35609E5634X8977614625762638363480658763969, 41508X032466E7X0386X4625X46X2824XX641674X676E0X6X201751X6E483, 1043226097178XE60E187167571868072877047X277X892786604X3578X209, 31096762494E28X62951947X4951801981X911E67XE8237E176126X4E26623, 93247X6724298276843541E724350055058335X7E8E06XE94X637872977669, 23971E779708507X810X405X970X301431509X57EE29188E4276XE1984XX783, 6E495XXE492131E803270158492690409432574EE983522X07X889551287E09, 18X24588X236395E0097904512378310240974X2EE50X36861E822443381E923, 5267152266X6E459024E311336XE09307024X268EX326X8165E067109E05E369, ... (the first number with leading digit X is 3^16 = X98E5809, and the first number with leading digit 7 is 3^25 = 784503X627783, besides, final digits of these numbers are 1, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, ..., the period is 2 for numbers >= 3^1 (=3))

Powers of 4: 1, 4, 14, 54, 194, 714, 2454, 9594, 31E14, 107854, 426994, 14X3314, 5751054, 1X584194, 75X94714, 25E716454, 9EX461594, 33E5605E14, 1139X01E854, 4533407X994, 159114277314, 5E0454X65054, 1E81597618194, 7X85E26068714, 2769E8X022X454, ...

Powers of 5: 1, 5, 21, X5, 441, 1985, 9061, 39265, 16X081, 7X2345, 332E4X1, 14429025, 69919101, 2X0989505, 122407E121, 5XE83375X5, 256X5461541, 103X42X67285, 517392490161, 218069EE90765, X842X1EX93181, 4559229E5X3845, 1X349E2195365X1, 935017X8E258525, 3X51083588046201, ...

Powers of 6: 1, 6, 30, 160, 900, 4600, 23000, 116000, 690000, 3460000, 18300000, X1600000, 509000000, 2646000000, 13230000000, 77160000000, 396900000000, 1X94600000000, E483000000000, 58416000000000, 2X2090000000000, 1510460000000000, 8662300000000000, 43311600000000000, 217669000000000000, ...

Powers of 7: 1, 7, 41, 247, 1481, 9887, 58101, 338707, 1E20141, 11620947, 7X725581, 472252387, 2823504201, 1693EE25207, XE53E650241, 6481388E1447, 3888921259681, 22111428546X87, 13277956E180301, 8X6566305E81907, 5219297935990341, 30304776504831E47, 191928548E289X1781, 104046E1926718XE587, 7242806045X20248401, ...

Powers of 8: 1, 8, 54, 368, 2454, 16E68, 107854, 851768, 5751054, 38E48368, 25E716454, 17E8902E68, 1139X01E854, 8X668139768, 5E0454X65054, 3E42E73034368, 2769E8X022X454, 190679X815XXE68, 120452714EE33854, 942E588E3E625768, 629E799E678179054, 41X792678515120368, 29312185174E4942454, 1X20951750E372296E68, 12946350E476495X47854, ...

Powers of 9: 1, 9, 69, 509, 3969, 2X209, 217669, 1727E09, 124EE369, X98E5809, 813873069, 60E9553509, 468X10E6969, 350769881209, 269581360X669, 1E1130E767XE09, 1539E3887EE2369, 10EX55965EE48809, 98XX141X5E666069, 73817014X57XX6509, 559123107X2E1X9969, 4139X8395X824514209, 30EX502X150193X01669, 238X992170913EX611E09, 189813X72369EEXX6X5369, ...

Powers of X: 1, X, 84, 6E4, 5954, 49X54, 402854, 3423054, 295X6454, 23XX93854, 1E30E91054, 1746996X454, 141981E87854, 1156097925054, E270805802454, 941X684881E854, 795696EE2979054, 65X77E9E44056454, 54XX47X3574473854, 46107X66X817X11054, 390X66958X9464XX454, 3168957X94E994107854, 27373X86EX1X194X65054, 221012E19X5655X0942454, 198X1053628746X4795E854, ...

Powers of E: 1, E, X1, 92E, 8581, 7924E, 715261, 663936E, 5E956341, 55980908E, 503X483821, 473663745XE, 4282E9391501, 3X5689654370E, 3671208XXE35X1, 33060X82004242E, 2E956995X03X1X81, 289812E842363894E, 260X51887X12950761, 2369686EE2316776X6E, 213291X4E30X50EE3841, 1E1E6486639967XE4478E, 19296X39E95E9130503121, 1756935619859419472X0XE, 15X1262077X9369772772X01, ...

Powers of 10: 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000, 10000000000, 100000000000, 1000000000000, 10000000000000, 100000000000000, 1000000000000000, 10000000000000000, 100000000000000000, 1000000000000000000, 10000000000000000000, 100000000000000000000, 1000000000000000000000, 10000000000000000000000, 100000000000000000000000, 1000000000000000000000000, ...

Powers of 11: 1, 11, 121, 1331, 14641, 15XX51, 1749361, 19020971, 1X922X481, 207E513091, 228746439X1, 24E3EXX817E1, 27433X9699701, 29E77284474711, 309729E08EEE821, 33X4X08E98EE7X31, 37232X98968E76141, 3X9561866438717551, 4282E7X30X803890X61, 46XE27613E684059E471, 4E5X1X175363046393E81, 5453EEE9089934XX113791, 59993EE899670838E24E4X1, 637713E867417900817442E1, 69E2853831E59490898E87201, ...

Powers of 12: 1, 12, 144, 1708, 1X294, 21E2X8, 2631454, 2E377228, 3522X4714, 4007414368, 48086970194, 5549EE2220X8, 64377E0665054, 7502E2X775X628, 87X35144X8X3314, X11EEE71863E9768, E943EE63EE4792994, 118E07E547E350934X8, 1404X9343531EXX9E854, 1685869E00183X8777X28, 199X7EE6X01E8660XE1E14, 215653E5E8237E710902E68, 25856274E76833632X635594, 2X7X530796997X139434048X8, 3452216911E531964XEX856454, ...

Powers of 13: 1, 13, 169, 1E53, 25369, 307553, 3993969, 49278E53, 5E6382369, 754X72X553, 93913070969, E7846989EE53, 1267586205E369, 162341786751553, 1X8X220783349969, 24508869741302E53, 2E63XX860216938369, 384XX747627E5774553, 47617329493E40626969, 594801058E7E207925E53, 728X0137226XE698615369, 90506175E92785617797553, E3637804586376X806903969, 1214X6705717X6574085348E53, 157912296EE0X21020X672E2369, ...

Powers of 14: 1, 14, 194, 2454, 31E14, 426994, 5751054, 75X94714, 9EX461594, 1139X01E854, 159114277314, 1E81597618194, 2769E8X022X454, 361137942E99E14, 48158X457E912994, 629E799E678179054, 839365134X2X240714, E104869865797149594, 12946350E476495X47854, 1786046932206479X23314, 2234061042X886251704194, 2E05481457X37432X1456454, 3X872299E6589983959E45E14, 52356E91347790E107931EX994, 6E075381862241294X4427X5054, ...

Powers of 15: 1, 15, 201, 2X15, 40401, 585815, 8100601, E5508615, 1428200801, 1XE96X0E415, 286868340X01, 3X16158892215, 55418114501001, 786X456E3115015, XE1883X9E4701201, 135953964115E17X15, 19E24645E9714941401, 270X45045870E929X815, 380283164120481001601, 52439851E97X6755021615, 744148E39881E4681301801, X519E8804936915559324415, 12937173469206E08921641X01, 18E21133956EX99805001EX7215, 2579E69844XXX3X8471029X02001, ...

Powers of 16: 1, 16, 230, 3460, 50900, 771600, E483000, 151046000, 2176690000, 3253X160000, 497E92300000, 725E794600000, X98E5809000000, 1427526116000000, 203E1991830000000, 305X88786460000000, 468X10E696900000000, 6X131754241600000000, X31X85203623000000000, 1348X079053346000000000, 1E1130E767XE090000000000, 2X77X7553EX47160000000000, 43E59E21EE96X8300000000000, 65E28X92EE84404600000000000, 98XX141X5E666069000000000000, ...

Powers of 17: 1, 17, 261, 3E77, 63501, 9E4E17, 13909761, 20E432X77, 335E916X01, 52657559X17, 8302X9827061, 11094714011977, 1882X331419X301, 2890631E16X72917, 43X39E0075X954561, 6X140850EX40E60877, XX01514069456271801, 151X23114X8X08X137817, 231E16X928EEE200091X61, 370075E0742EX820125E777, 5810EX45E7889XE21XE55101, 8E9869515529E838504170717, 1228468E13735961X3E6661E361, 1X63328170866208E4334390X677, 2E7E212X621639321E9239E448601, ...

Powers of 18: 1, 18, 294, 4768, 78714, 10X3X28, 19525054, 2E88048X8, 4E6547X994, 8328E920368, 11946E7345E14, 1XE7774175X628, 3234882X8596454, 5397X589X17X74X8, 8X4115684X9184194, 12929X53201E29XXE68, 20748549343288623314, 3503X0EE5714662395228, 5846497E13X36X3X387854, 95E680126251E525224X0X8, 139E314202407308078009594, 2246922E43X901115094139768, 37E7338XE25E019X4536X240714, 6134162X281X4305349E4EX8EX28, X216X649057131089807039XE9054, ...

Powers of 19: 1, 19, 309, 5439, 94669, 144E599, 24881209, 423220739, 73E6970969, 109E2X944899, 1X5480X483509, 3335216225EX39, 58900879X459069, X039131831X09E99, 15666E25E562755809, 26856174507X706E139, 4589789X8X1964015369, 7X04X6539591810263299, 118686533770EE1944E7E09, 1EEE8E3294348X614884X439, 35EE6787X45E3648532861669, 615E276191X492229278X88599, X87477191032409XX176692X209, 1690E1360X9571153E8X25X1E9739, 289X753176X694E63E65X429579969, ...

Powers of 1X: 1, 1X, 344, 61E4, E3694, 1886514, 31E79454, 597432194, X77599E314, 175E88027854, 2E8E5X84X1594, 55650974X68714, X0193576E439054, 16433043X89XX6994, 2979E67E1821E45E14, 5184322650EE6X2X454, 95139X07939E26930194, 1534500523102684E63314, 27821209617X4835115E854, 4X0EX19553050723408E5594, 8X598733E7693122154500714, 14327994133X4E81EX7X1211054, 259XX3E16411114E7964619EX994, 4681XE24976000714358334399E14, 842E6064979001105X45201E002454, ...

Powers of 1E: 1, 1E, 381, 705E, 115E41, 21X489E, 416E0E01, 7E032911E, 13216235281, 2510XX47015E, 479089X952X41, 8XX44XE810599E, 1509X55045EE1X01, 2886E047875X4621E, 5285318X9642X7X181, X02210408321650525E, 17241EE793X10E379E941, 3095E9E3XX440980016X9E, 5X62580859X396640302901, E31X8X5431X933618595331E, 19707700320779389331113081, 3546265060E27XX1992E114X35E, 6737XX37E7961195588731838841, 10800199033E282515E85E02E17E9E, 20340358364661879X5534157423801, ...

Powers of 20: 1, 20, 400, 8000, 140000, 2800000, 54000000, X80000000, 19400000000, 368000000000, 7140000000000, 122800000000000, 2454000000000000, 48X80000000000000, 959400000000000000, 16E68000000000000000, 31E140000000000000000, 63X2800000000000000000, 107854000000000000000000, 2134X80000000000000000000, 42699400000000000000000000, 851768000000000000000000000, 14X33140000000000000000000000, 298662800000000000000000000000, 5751054000000000000000000000000, ...

Powers and related numbers Edit

Perfect powers: 0, 1, 4, 8, 9, 14, 21, 23, 28, 30, 41, 54, 69, 84, X1, X5, X8, 100, 121, 144, 160, 169, 183, 194, 201, 230, 247, 261, 294, 309, 344, 368, 381, 400, 441, 484, 509, 554, 5X1, 630, 681, 6E4, 714, 769, 804, 861, 900, 92E, 961, X04, X69, E14, E81, 1000, 1030, 10X1, 1154, 1209, 1228, 1284, 1323, 1331, 1341, 1400, 1481, 1544, 1609, 1694, 1708, 1761, 1830, 1901, 1985, 1994, 1X69, 1E44, 1E53, 2021, 2100, 21X1, 2284, 2369, 2454, 2541, 2630, 2721, 2814, 2909, 2X04, 2X15, 2E01, 3000, 3101, 3204, 3309, 3414, 3460, 3521, 3630, 3741, 3854, 3969, 3X84, 3E77, 3EX1, 4100, 4221, 4344, 4469, 4594, 4600, 4701, 4768, 4830, 48X8, 4961, 4X94, 5009, 5144, 5281, 5400, 5439, 5541, 5684, 5809, 5954, 5XX1, 6030, 6181, 61E4, 6314, 6469, 6604, 6761, 6900, 6X61, 7004, 705E, 7169, 7314, 7481, 7630, 77X1, 7954, 7E09, 8000, 8084, 8241, 8400, 8581, 8744, 8909, 8X94, 9061, 9230, 9401, 9594, 9769, 9887, 9944, 9E21, X100, X208, X2X1, X484, X669, X854, XX41, E030, E221, E414, E483, E609, E804, EX01, 10000, ...

Powerful (or Squareful) numbers: 1, 4, 8, 9, 14, 21, 23, 28, 30, 41, 54, 60, 69, 84, 90, X1, X5, X8, 100, 121, 144, 148, 160, 169, 183, 194, 200, 201, 230, 247, 261, 288, 294, 300, 309, 344, 358, 368, 381, 400, 441, 460, 483, 484, 509, 554, 568, 5X1, 600, 630, 681, 688, 690, 6E4, 714, 769, 799, 800, 804, 861, 900, 923, 92E, 948, 961, 964, X04, X69, XX8, E14, E81, 1000, 1030, 1060, 10X1, 1154, 1160, 11X8, 1209, 1228, 1284, 1323, 1331, 1341, 1400, 1408, 1481, 1544, 1600, 1609, 1690, 1694, 1708, 1761, 1808, 1830, 1901, 1953, 1985, 1994, 1X28, 1X69, 1X83, 1E44, 1E53, 2000, 2021, 2060, 2100, 21X1, 2284, 22X8, 2300, 2369, 2394, 2454, 2541, 2548, 2630, 2721, 2730, 2783, 2800, 2814, 2909, 2X04, 2X15, 2X88, 2E01, 3000, 3090, 30E8, 3101, 3160, 3168, 3204, 3214, 3309, 3414, 3460, 3521, 3623, 3630, 3665, 3741, 3768, 3854, 3969, 3X84, 3X88, 3E77, 3EX1, 4000, 4100, 4200, 4221, 4344, 4469, 4548, 4594, 4600, 4623, 4701, 4768, 4830, 48X8, 4961, 4X94, 4E67, 5009, 5060, 5090, 5104, 5144, 5260, 5281, 5400, 5428, 5439, 5541, 5684, 5783, 5808, 5809, 5954, 5X39, 5XX1, 6000, 6030, 6160, 6181, 61E4, 6300, 6314, 6408, 6428, 6469, 6604, 6761, 6828, 6900, 6X61, 6X83, 6E23, 7004, 705E, 7060, 7169, 7190, 7298, 7314, 7481, 74X8, 7630, 7690, 77X1, 7948, 7954, 7990, 7E09, 8000, 8084, 8200, 8241, 8323, 8400, 8581, 8688, 8744, 8905, 8909, 8X94, 8E68, 9000, 9061, 9230, 9314, 9401, 9460, 9594, 9769, 9887, 9923, 9944, 9968, 9E21, X100, X160, X208, X288, X2X1, X484, X500, X669, X690, X800, X854, XX41, E030, E148, E221, E414, E458, E483, E539, E609, E6X8, E804, EX01, 10000, ...

Achilles numbers: 60, 90, 148, 200, 288, 300, 358, 460, 483, 568, 600, 688, 690, 799, 800, 923, 948, 964, XX8, 1060, 1160, 11X8, 1408, 1600, 1690, 1808, 1953, 1X28, 1X83, 2000, 2060, 22X8, 2300, 2394, 2548, 2730, 2783, 2800, 2X88, 3090, 30E8, 3160, 3168, 3214, 3623, 3665, 3768, 3X88, 4000, 4200, 4548, 4623, 4E67, 5060, 5090, 5104, 5260, 5428, 5783, 5808, 5X39, 6000, 6160, 6300, 6408, 6428, 6828, 6X83, 6E23, 7060, 7190, 7298, 74X8, 7690, 7948, 7990, 8200, 8323, 8688, 8905, 8E68, 9000, 9314, 9460, 9923, 9968, X160, X288, X500, X690, X800, E148, E458, E539, E6X8, 10060, 10285, 10300, 103X8, 10600, 10628, 11008, 11183, 11600, 12008, 12090, 12218, 12360, 12574, 12628, 13023, 13060, 13160, 136X8, 13X64, 14000, 140E3, 14148, 14339, 14800, 15023, 15288, 156E3, 15968, 16000, 16090, 16460, 16628, 17183, 1730E, 17688, 17X24, 18200, 18300, 18414, 18948, 18X00, 18XX5, 19160, 19483, 194X8, 19530, 1X060, 1X690, 1X828, 1E408, 1E530, 1E923, 20000, 20027, 20600, 20794, 20808, 21000, 21428, 214X8, 21709, 22060, 22145, 22323, 228X8, 23548, 23690, 23890, 24160, 241E8, 24200, 24434, 24700, 24X83, 24X88, 24E28, 25768, 26300, 26460, 27168, 27300, 27783, 27951, 27X88, 27X99, 28000, 28800, 29090, 29548, 29667, 2X2X8, 2X623, 2E018, 2E060, 2E883, 2EX28, 30000, 30160, 30808, 31600, 31623, 318XE, 32325, 32408, 32XX4, 33090, 33228, 33848, 34060, 34600, 34783, 34828, 34XX8, 35800, 35948, 36300, 36800, 37688, 37X83, 38568, 387E3, 39160, 39460, 395X8, 39690, 39930, 3X368, 3XX60, 3E288, 3E323, ...

p-smooth numbers Edit

3-smooth numbers (also harmonic numbers or the numbers n such that 1/n terminates): 1, 2, 3, 4, 6, 8, 9, 10, 14, 16, 20, 23, 28, 30, 40, 46, 54, 60, 69, 80, 90, X8, 100, 116, 140, 160, 183, 194, 200, 230, 280, 300, 346, 368, 400, 460, 509, 540, 600, 690, 714, 800, 900, X16, X80, 1000, ...

5-smooth numbers (also regular numbers or Hamming numbers): 1, 2, 3, 4, 5, 6, 8, 9, X, 10, 13, 14, 16, 18, 20, 21, 23, 26, 28, 30, 34, 39, 40, 42, 46, 50, 54, 60, 63, 68, 69, 76, 80, 84, 90, X0, X5, X8, E3, 100, 106, 114, 116, 130, 140, 148, 160, 169, 180, 183, 18X, 194, 1X6, 200, 210, 228, 230, 260, 273, 280, 294, 299, 300, 316, 340, 346, 358, 368, 390, 400, 420, 441, 454, 460, 483, 500, 509, 526, 540, 568, 576, 600, 630, 680, 690, 6E4, 714, 760, 799, 800, 840, 853, 882, 8X8, 900, 946, X00, X16, X50, X80, E14, E30, 1000, ...

7-smooth numbers (also humble numbers or highly composite numbers (this name would be confused with the numbers having many divisors): 1, 2, 3, 4, 5, 6, 7, 8, 9, X, 10, 12, 13, 14, 16, 18, 19, 20, 21, 23, 24, 26, 28, 2E, 30, 34, 36, 39, 40, 41, 42, 46, 48, 50, 53, 54, 5X, 60, 63, 68, 69, 70, 76, 80, 82, 84, 89, 90, 94, X0, X5, X6, X8, E3, E8, 100, 103, 106, 114, 116, 120, 127, 130, 139, 140, 144, 148, 156, 160, 168, 169, 180, 183, 185, 18X, 190, 194, 1X6, 1E4, 200, 206, 210, 223, 228, 230, 240, 247, 252, 260, 273, 276, 280, 288, 294, 299, 2E0, 300, 309, 314, 316, 340, 346, 34X, 358, 360, 368, 379, 390, 3X8, 3E3, 400, 410, 420, 441, 446, 454, 460, 480, 483, 492, 4X4, 500, 509, 513, 526, 530, 540, 554, 568, 576, 5X0, 600, 60E, 616, 628, 630, 669, 680, 690, 698, 6E4, 700, 714, 719, 736, 760, 794, 799, 7X6, 800, 820, 840, 853, 861, 882, 890, 8X8, 900, 923, 940, 946, 964, 988, X00, X16, X26, X50, X60, X80, XX8, XE3, E14, E30, E80, E99, EXE, 1000, ...

E-smooth numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 12, 13, 14, 16, 18, 19, 1X, 20, 21, 23, 24, 26, 28, 29, 2E, 30, 34, 36, 38, 39, 40, 41, 42, 46, 47, 48, 50, 53, 54, 56, 5X, 60, 63, 65, 68, 69, 70, 74, 76, 80, 82, 83, 84, 89, 90, 92, 94, X0, X1, X5, X6, X8, E0, E3, E8, 100, 103, 106, 10X, 114, 116, 119, 120, 127, 128, 130, 139, 140, 144, 146, 148, 156, 160, 164, 168, 169, 173, 180, 182, 183, 185, 18X, 190, 194, 1X0, 1X6, 1XE, 1E4, 200, 206, 209, 210, 218, 223, 228, 230, 236, 240, 247, 252, 254, 260, 263, 273, 276, 280, 281, 288, 290, 294, 299, 2E0, 300, 308, 309, 314, 316, 326, 340, 344, 346, 34X, 353, 358, 360, 368, 379, 380, 38E, 390, 39X, 3X8, 3E3, 400, 410, 416, 420, 425, 434, 441, 446, 454, 460, 470, 480, 483, 492, 499, 4X4, 4X8, 500, 506, 509, 513, 526, 530, 540, 542, 554, 560, 568, 576, 589, 5X0, 5X7, 600, 60E, 614, 616, 623, 628, 630, 650, 669, 680, 688, 690, 698, 6X6, 6E4, 700, 714, 719, 736, 740, 75X, 760, 769, 778, 794, 799, 7X6, 800, 803, 820, 830, 840, 84X, 853, 861, 868, 882, 890, 8X8, 900, 920, 923, 92E, 940, 946, 964, 967, 976, 988, 994, X00, X10, X16, X26, X39, X50, X60, X80, X84, XX8, XE3, E00, E14, E29, E30, E56, E80, E92, E99, EXE, 1000, ...

11-smooth numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 11, 12, 13, 14, 16, 18, 19, 1X, 20, 21, 22, 23, 24, 26, 28, 29, 2E, 30, 33, 34, 36, 38, 39, 40, 41, 42, 44, 46, 47, 48, 50, 53, 54, 55, 56, 5X, 60, 63, 65, 66, 68, 69, 70, 74, 76, 77, 80, 82, 83, 84, 88, 89, 90, 92, 94, 99, X0, X1, X5, X6, X8, XX, E0, E3, E8, EE, 100, ...

15-smooth numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 11, 12, 13, 14, 15, 16, 18, 19, 1X, 20, 21, 22, 23, 24, 26, 28, 29, 2X, 2E, 30, 33, 34, 36, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 50, 53, 54, 55, 56, 58, 5X, 60, 63, 65, 66, 68, 69, 70, 71, 74, 76, 77, 80, 82, 83, 84, 86, 88, 89, 90, 92, 94, 99, 9E, X0, X1, X5, X6, X8, XX, E0, E3, E4, E8, EE, 100, ...

17-smooth numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1X, 20, 21, 22, 23, 24, 26, 28, 29, 2X, 2E, 30, 32, 33, 34, 36, 38, 39, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 53, 54, 55, 56, 58, 5X, 60, 63, 64, 65, 66, 68, 69, 70, 71, 74, 76, 77, 7E, 80, 82, 83, 84, 86, 88, 89, 90, 92, 94, 96, 99, 9E, X0, X1, X5, X6, X8, XX, E0, E1, E3, E4, E8, EE, 100, ...

1E-smooth numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1X, 1E, 20, 21, 22, 23, 24, 26, 28, 29, 2X, 2E, 30, 32, 33, 34, 36, 38, 39, 3X, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 53, 54, 55, 56, 58, 59, 5X, 60, 63, 64, 65, 66, 68, 69, 70, 71, 74, 76, 77, 78, 7E, 80, 82, 83, 84, 86, 88, 89, 90, 92, 94, 96, 97, 99, 9E, X0, X1, X5, X6, X8, XX, E0, E1, E3, E4, E6, E8, EE, 100, ...

By properties of d(n) Edit

Highly composite numbers: 1, 2, 4, 6, 10, 20, 30, 40, 50, X0, 130, 180, 260, 500, 5X0, 890, E80, 1560, 2E00, 4460, 5X00, 8900, E800, 12700, 14060, 22300, 25200, 28100, 40160, 54200, 80300, X8400, 114500, 140600, 200900, 228X00, 281000, 2X9100, 441760, 596200, 883300, E70400, ... (all numbers > 6 end with 0)

Highly abundant numbers: 1, 2, 3, 4, 6, 8, X, 10, 14, 16, 18, 20, 26, 30, 36, 40, 50, 60, 70, 76, 80, 90, X0, 100, 120, 130, 156, 160, 180, 200, 210, 240, 260, 2E0, 340, 360, 390, 420, 446, 470, 500, 5X0, 680, 700, 760, 840, 890, X00, XX0, E30, E80, 1060, 1140, 1190, 1270, 1300, 1430, 1480, 1560, 1800, 1900, 1980, 1X60, 1E40, 2100, 2230, 2360, 2520, 2600, 2810, 2860, 2E00, 3400, 34X0, 3660, 3740, 3790, 3X80, 4200, 4460, 4700, 4X40, 5130, 5420, 5X00, 63X0, 6690, 6980, 6X60, 7100, 7360, 7940, 8030, 8900, 9590, 9880, X260, X840, E560, E800, ... (all numbers > 446 end with 0)

Factorials and related numbers Edit

Factorials: 1, 1, 2, 6, 20, X0, 500, 2E00, 1E400, 156000, 1270000, 11450000, 114500000, 1259500000, 14X8EX00000, 191529600000, 241XE88000000, 33X86734000000, 4EX09XE00000000, 7X8E383500000000, 111XXX198400000000, 1E040E91E7000000000, 3627596972X000000000, 68E041404X52000000000, 115X0828098X40000000000, ... (all numbers > 6 end with 0)

Double factorials: 1, 1, 2, 3, 8, 13, 40, 89, 280, 669, 2280, 6023, 22800, 66253, 271400, 819069, 3559400, E659969, 52280000, 163326183, 878540000, 27E8748E53, 13X15940000, 51356211E09, 2782E6800000, ...

Primorials: 1, 2, 6, 26, 156, 1406, 15466, 207526, 32E92E6, 62868806, 130682E526, 32X53376556, 9EX23222X9E6, 2X1598X57E0036, X2339X963451066, 33XXEE933723E1156, 128326XEE6X933EE536, 602798009XXE74793026, 2671581842459067604086, 1229928557530160EX7X7E56, 70279700430098XEX40810966, 3684153721X34E32X1X8125X066, 1E50E15X8322856238X533E451696, 116014E38E2048619EX426037759E86, 8416X57X92X0XE1770E92682E662EX06, ... (all numbers > 2 end with 6)

n-gonal numbers Edit

Triangular (3-gonal) numbers (also generalized 6-gonal (generalized hexagonal) numbers): 0, 1, 3, 6, X, 13, 19, 24, 30, 39, 47, 56, 66, 77, 89, X0, E4, 109, 123, 13X, 156, 173, 191, 1E0, 210, 231, 253, 276, 29X, 303, 329, 354, 380, 3X9, 417, 446, 476, 4X7, 519, 550, 584, 5E9, 633, 66X, 6X6, 723, 761, 7X0, 820, ... (all end with 0, 1, 3, 4, 6, 7, 9, X, since triangular numbers cannot = 2 mod 3) (the period of the final digit is 20, the final digits are 0, 1, 3, 6, X, 3, 9, 4, 0, 9, 7, 6, 6, 7, 9, 0, 4, 9, 3, X, 6, 3, 1, 0, 0, 1, 3, 6, X, 3, 9, 4, 0, 9, 7, 6, 6, 7, 9, 0, 4, 9, 3, X, 6, 3, 1, 0, ...)

Pentagonal (5-gonal) numbers: 0, 1, 5, 10, 1X, 2E, 43, 5X, 78, 99, 101, 128, 156, 187, 1EE, 236, 274, 2E5, 339, 384, 412, 463, 4E7, 552, 5E0, 651, 6E5, 760, 80X, 87E, 933, 9XX, X68, E29, EE1, 1078, 1146, 1217, 12XE, 1386, 1464, 1545, 1629, 1714, 1802, 18E3, 19X7, 1XX2, 1EX0, ... (can end with any digit) (the period of the final digit is 20, the final digits are 0, 1, 5, 0, X, E, 3, X, 8, 9, 1, 8, 6, 7, E, 6, 4, 5, 9, 4, 2, 3, 7, 2, 0, 1, 5, 0, X, E, 3, X, 8, 9, 1, 8, 6, 7, E, 6, 4, 5, 9, 4, 2, 3, 7, 2, ...)

Hexagonal (6-gonal) numbers: 0, 1, 6, 13, 24, 39, 56, 77, X0, 109, 13X, 173, 1E0, 231, 276, 303, 354, 3X9, 446, 4X7, 550, 5E9, 66X, 723, 7X0, 861, 926, 9E3, X84, E59, 1036, 1117, 1200, 12X9, 139X, 1493, 1590, 1691, 1796, 18X3, 19E4, 1E09, 2026, 2147, 2270, 2399, 250X, 2643, 2780, ... (all end with 0, 1, 3, 4, 6, 7, 9, X, since hexagonal numbers are also triangular numbers) (the period of the final digit is 10, the final digits are 0, 1, 6, 3, 4, 9, 6, 7, 0, 9, X, 3, 0, 1, 6, 3, 4, 9, 6, 7, 0, 9, X, 3, ...)

Heptagonal (7-gonal) numbers: 0, 1, 7, 16, 2X, 47, 69, 94, 104, 139, 177, 1EX, 246, 297, 331, 390, 434, 4X1, 553, 60X, 68X, 753, 821, 8E4, 990, ...

Octagonal (8-gonal) numbers: 0, 1, 8, 19, 34, 55, 80, E1, 128, 169, 1E4, 245, 2X0, 341, 3X8, 459, 514, 595, 660, 731, 808, 8X9, 994, X85, E80, ...

Nonagonal (Enneagonal) (9-gonal) numbers: 0, 1, 9, 20, 3X, 63, 93, 10X, 150, 199, 231, 290, 336, 3X7, 463, 526, 5E4, 689, 769, 854, 946, X43, E47, 1056, 1170, ...

Dekragonal (X-gonal) numbers: 0, 1, X, 23, 44, 71, X6, 127, 174, 209, 26X, 317, 390, 451, 51X, 5E3, 694, 781, 876, 977, X84, E99, 10EX, 1227, 1360, ...

Elpagonal (E-gonal) numbers: 0, 1, E, 26, 4X, 7E, E9, 144, 198, 239, 2X7, 362, 426, 4E7, 595, 680, 774, 875, 983, X9X, 1002, 1133, 1271, 13E8, 1550, ...

Dozagonal (10-gonal) numbers: 0, 1, 10, 29, 54, 89, 110, 161, 200, 269, 324, 3X9, 480, 561, 650, 749, 854, 969, X90, 1001, 1140, 1289, 1424, 1589, 1740, ...

11-gonal (Hendozagonal) numbers: 0, 1, 11, 30, 5X, 97, 123, 17X, 224, 299, 361, 434, 516, 607, 707, 816, 934, X61, E99, 1124, 127X, 1423, 1597, 175X, 1930, ...

12-gonal (Dodozagonal) numbers: 0, 1, 12, 33, 64, X5, 136, 197, 248, 309, 39X, 47E, 570, 671, 782, 8X3, X14, E55, 10X6, 1247, 13E8, 1579, 174X, 192E, 1E20, ...

13-gonal (Tridozagonal) numbers: 0, 1, 13, 36, 6X, E3, 149, 1E4, 270, 339, 417, 506, 606, 717, 839, 970, XE4, 1049, 11E3, 136X, 1536, 1713, 1901, 1E00, 2110, ...

14-gonal (Tetradozagonal) numbers: 0, 1, 14, 39, 74, 101, 160, 211, 294, 369, 454, 551, 660, 781, 8E4, X39, E94, 1141, 1300, 1491, 1674, 1869, 1X74, 2091, 2300, ...

15-gonal (Pentadozagonal) numbers: 0, 1, 15, 40, 7X, 10E, 173, 22X, 2E8, 399, 491, 598, 6E6, 827, 96E, E06, 1074, 1235, 1409, 15E4, 17E2, 1X03, 2027, 2262, 24E0, ...

16-gonal (Hexadozagonal) numbers: 0, 1, 16, 43, 84, 119, 186, 247, 320, 409, 50X, 623, 750, 891, X26, E93, 1154, 1329, 1516, 1717, 1930, 1E59, 219X, 2433, 26X0, ...

17-gonal (Heptadozagonal) numbers: 0, 1, 17, 46, 8X, 127, 199, 264, 344, 439, 547, 66X, 7X6, 937, XX1, 1060, 1234, 1421, 1623, 183X, 1X6X, 20E3, 2351, 2604, 2890, ...

18-gonal (Octadozagonal) numbers: 0, 1, 18, 49, 94, 135, 1E0, 281, 368, 469, 584, 6E5, 840, 9X1, E58, 1129, 1314, 1515, 1730, 1961, 1EX8, 2249, 2504, 2795, 2X80, ...

19-gonal (Enneadozagonal) numbers: 0, 1, 19, 50, 9X, 143, 203, 29X, 390, 499, 601, 740, 896, X47, 1013, 11E6, 13E4, 1609, 1839, 1X84, 2126, 23X3, 2677, 2966, 3070, ...

1X-gonal (Dekradozagonal) numbers: 0, 1, 1X, 53, X4, 151, 216, 2E7, 3E4, 509, 63X, 787, 930, XE1, 108X, 1283, 1494, 1701, 1946, 1EX7, 2264, 2539, 282X, 2E37, 3260, ...

1E-gonal (Elpadozagonal) numbers: 0, 1, 1E, 56, XX, 15E, 229, 314, 418, 539, 677, 812, 986, E57, 1145, 1350, 1574, 17E5, 1X53, 210X, 23X2, 2693, 29X1, 3108, 3450, ...

20-gonal (Icosagonal) numbers: 0, 1, 20, 59, E4, 169, 240, 331, 440, 569, 6E4, 859, X20, 1001, 1200, 1419, 1654, 18X9, 1E60, 2231, 2520, 2829, 2E54, 3299, 3640, ...

Generalized n-gonal numbers Edit

Generalized 5-gonal (Generalized pentagonal) numbers: 0, 1, 2, 5, 7, 10, 13, 1X, 22, 2E, 34, 43, 49, 5X, 65, 78, 84, 99, X6, 101, 10E, 128, 137, 156, 166, ...

Generalized 7-gonal (Generalized heptagonal) numbers: 0, 1, 4, 7, 11, 16, 23, 2X, 3X, 47, 5X, 69, 83, 94, E1, 104, 124, 139, 160, 177, 1X1, 1EX, 227, 246, 276, ...

Generalized 8-gonal (Generalized octagonal) numbers: 0, 1, 5, 8, 14, 19, 29, 34, 48, 55, 71, 80, X0, E1, 115, 128, 154, 169, 199, 1E4, 228, 245, 281, 2X0, 320, ...

Generalized 9-gonal (Generalized nonagonal) numbers: 0, 1, 6, 9, 17, 20, 33, 3X, 56, 63, 84, 93, E9, 10X, 139, 150, 184, 199, 216, 231, 273, 290, 317, 336, 386, ...

Generalized X-gonal (Generalized dekragonal) numbers: 0, 1, 7, X, 1X, 23, 39, 44, 64, 71, 97, X6, 116, 127, 161, 174, 1E4, 209, 253, 26X, 2EX, 317, 371, 390, 430, ...

Generalized E-gonal (Generalized elpagonal) numbers: 0, 1, 8, E, 21, 26, 43, 4X, 72, 7E, XX, E9, 133, 144, 185, 198, 224, 239, 290, 2X7, 345, 362, 407, 426, 496, ...

Generalized 10-gonal (Generalized dozagonal) numbers: 0, 1, 9, 10, 24, 29, 49, 54, 80, 89, 101, 110, 150, 161, 1X9, 200, 254, 269, 309, 324, 390, 3X9, 461, 480, 540, ...

Generalized 11-gonal numbers: 0, 1, X, 11, 27, 30, 53, 5X, 8X, 97, 114, 123, 169, 17X, 211, 224, 284, 299, 346, 361, 417, 434, 4E7, 516, 5X6, ...

Generalized 12-gonal numbers: 0, 1, E, 12, 2X, 33, 59, 64, 98, X5, 127, 136, 186, 197, 235, 248, 2E4, 309, 383, 39X, 462, 47E, 551, 570, 650, ...

Generalized 13-gonal numbers: 0, 1, 10, 13, 31, 36, 63, 6X, X6, E3, 13X, 149, 1X3, 1E4, 259, 270, 324, 339, 400, 417, 4X9, 506, 5X7, 606, 6E6, ...

Generalized 14-gonal numbers: 0, 1, 11, 14, 34, 39, 69, 74, E4, 101, 151, 160, 200, 211, 281, 294, 354, 369, 439, 454, 534, 551, 641, 660, 760, ...

Generalized 15-gonal numbers: 0, 1, 12, 15, 37, 40, 73, 7X, 102, 10E, 164, 173, 219, 22X, 2X5, 2E8, 384, 399, 476, 491, 57E, 598, 697, 6E6, 806, ...

Generalized 16-gonal numbers: 0, 1, 13, 16, 3X, 43, 79, 84, 110, 119, 177, 186, 236, 247, 309, 320, 3E4, 409, 4E3, 50X, 606, 623, 731, 750, 870, ...

Generalized 17-gonal numbers: 0, 1, 14, 17, 41, 46, 83, 8X, 11X, 127, 18X, 199, 253, 264, 331, 344, 424, 439, 530, 547, 651, 66X, 787, 7X6, 916, ...

Generalized 18-gonal numbers: 0, 1, 15, 18, 44, 49, 89, 94, 128, 135, 1X1, 1E0, 270, 281, 355, 368, 454, 469, 569, 584, 698, 6E5, 821, 840, 980, ...

Generalized 19-gonal numbers: 0, 1, 16, 19, 47, 50, 93, 9X, 136, 143, 1E4, 203, 289, 29X, 379, 390, 484, 499, 5X6, 601, 723, 740, 877, 896, X26, ...

Generalized 1X-gonal numbers: 0, 1, 17, 1X, 4X, 53, 99, X4, 144, 151, 207, 216, 2X6, 2E7, 3X1, 3E4, 4E4, 509, 623, 63X, 76X, 787, 911, 930, X90, ...

Generalized 1E-gonal numbers: 0, 1, 18, 1E, 51, 56, X3, XX, 152, 15E, 21X, 229, 303, 314, 405, 418, 524, 539, 660, 677, 7E5, 812, 967, 986, E36, ...

Generalized 20-gonal numbers: 0, 1, 19, 20, 54, 59, X9, E4, 160, 169, 231, 240, 320, 331, 429, 440, 554, 569, 699, 6E4, 840, 859, X01, X20, EX0, ...

Centered n-gonal numbers Edit

Centered 3-gonal (Centered triangular) numbers: 1, 4, X, 17, 27, 3X, 54, 71, 91, E4, 11X, 147, 177, 1XX, 224, 261, 2X1, 324, 36X, 3E7, 447, 49X, 534, 591, 631, ...

Centered 4-gonal (Centered square) numbers: 1, 5, 11, 21, 35, 51, 71, 95, 101, 131, 165, 1X1, 221, 265, 2E1, 341, 395, 431, 491, 535, 5X1, 651, 705, 781, 841, ...

Centered 5-gonal (Centered pentagonal) numbers: 1, 6, 14, 27, 43, 64, 8X, E9, 131, 16X, 1E0, 237, 287, 320, 37X, 421, 489, 53X, 5E4, 673, 737, 804, 896, 971, X51, ...

Centered 6-gonal (Centered hexagonal) (hex) numbers: 1, 7, 17, 31, 51, 77, X7, 121, 161, 1X7, 237, 291, 331, 397, 447, 501, 581, 647, 717, 7E1, 891, 977, X67, E61, 1061, ...

Centered 7-gonal (Centered heptagonal) numbers: 1, 8, 1X, 37, 5E, 8X, 104, 145, 191, 224, 282, 327, 397, 452, 514, 5X1, 675, 754, 83X, 92E, X27, E2X, 1038, 1151, 1271, ...

Centered 8-gonal (Centered octagonal) numbers: 1, 9, 21, 41, 69, X1, 121, 169, 201, 261, 309, 381, 441, 509, 5X1, 681, 769, 861, 961, X69, E81, 10X1, 1209, 1341, 1481, ... (all are square numbers, hence cannot be prime)

Centered 9-gonal (Centered nonagonal) numbers: 1, X, 24, 47, 77, E4, 13X, 191, 231, 29X, 354, 417, 4X7, 584, 66X, 761, 861, 96X, X84, EX7, 1117, 1254, 139X, 1531, 1691, ... (all are triangular numbers not equal to 3, hence cannot be prime)

Centered X-gonal (Centered dekragonal) numbers: 1, E, 27, 51, 85, 107, 157, 1E5, 261, 317, 39E, 471, 551, 63E, 737, 841, 955, X77, EX7, 1125, 1271, 1407, 156E, 1721, 18X1, ...

Centered E-gonal (Centered elpagonal) numbers: 1, 10, 2X, 57, 93, 11X, 174, 219, 291, 354, 426, 507, 5E7, 6E6, 804, 921, X49, E84, 110X, 1263, 1407, 157X, 1740, 1911, 1XE1, ...

Centered 10-gonal (Centered dozagonal) numbers (also star numbers): 1, 11, 31, 61, X1, 131, 191, 241, 301, 391, 471, 561, 661, 771, 891, X01, E41, 1091, 1231, 13X1, 1561, 1731, 1911, 1E01, 2101, ... (the star numbers are exactly the numbers obtained as the concatenation of a triangular number followed by a 1, such primes (called star primes or centered dozagonal primes) are 11, 31, 61, 131, 241, 301, 391, 471, 661, 771, 1231, 13X1, 1561, 1911, 1E01, 3291, 3541, 3801, 3X91, 4461, 4761, 5191, 5E91, 6331, 66X1, 7231, 7611, 7X01, ...)

Centered 11-gonal numbers: 1, 12, 34, 67, XE, 144, 1XX, 265, 331, 40X, 4E8, 5E7, 707, 828, 95X, XX1, 1035, 119X, 1354, 151E, 16E7, 18X4, 1XX2, 20E1, 2311, ...

Centered 12-gonal numbers: 1, 13, 37, 71, E9, 157, 207, 289, 361, 447, 543, 651, 771, 8X3, X27, E81, 1129, 12X7, 1477, 1659, 1851, 1X57, 2073, 22X1, 2521, ...

Centered 13-gonal numbers: 1, 14, 3X, 77, 107, 16X, 224, 2E1, 391, 484, 58X, 6X7, 817, 95X, XE4, 1061, 1221, 13E4, 159X, 1797, 19X7, 200X, 2244, 2491, 2731, ...

Centered 14-gonal numbers: 1, 15, 41, 81, 115, 181, 241, 315, 401, 501, 615, 741, 881, X15, E81, 1141, 1315, 1501, 1701, 1915, 1E41, 2181, 2415, 2681, 2941, ...

Centered 15-gonal numbers: 1, 16, 44, 87, 123, 194, 25X, 339, 431, 53X, 660, 797, 927, X90, 104X, 1221, 1409, 160X, 1824, 1X53, 2097, 2334, 25X6, 2871, 2E51, ...

Centered 16-gonal numbers: 1, 17, 47, 91, 131, 1X7, 277, 361, 461, 577, 6X7, 831, 991, E47, 1117, 1301, 1501, 1717, 1947, 1E91, 2231, 24X7, 2777, 2X61, 3161, ...

Centered 17-gonal numbers: 1, 18, 4X, 97, 13E, 1EX, 294, 385, 491, 5E4, 732, 887, X37, 1002, 11X4, 13X1, 15E5, 1824, 1X6X, 210E, 2387, 265X, 2948, 3051, 3371, ...

Centered 18-gonal numbers: 1, 19, 51, X1, 149, 211, 2E1, 3X9, 501, 631, 779, 921, XX1, 1079, 1271, 1481, 16X9, 1931, 1E91, 2249, 2521, 2811, 2E19, 3241, 3581, ...

Centered 19-gonal numbers: 1, 1X, 54, X7, 157, 224, 30X, 411, 531, 66X, 804, 977, E47, 1134, 133X, 1561, 17X1, 1X3X, 20E4, 2387, 2677, 2984, 30XX, 3431, 3791, ...

Centered 1X-gonal numbers: 1, 1E, 57, E1, 165, 237, 327, 435, 561, 6X7, 84E, X11, EE1, 11XE, 1407, 1641, 1895, 1E47, 2217, 2505, 2811, 2E37, 327E, 3621, 39X1, ...

Centered 1E-gonal numbers: 1, 20, 5X, E7, 173, 24X, 344, 459, 591, 724, 896, X67, 1057, 1266, 1494, 1721, 1989, 2054, 233X, 2643, 2967, 30XX, 3450, 3811, 3EE1, ...

Centered 20-gonal numbers: 1, 21, 61, 101, 181, 261, 361, 481, 601, 761, 921, E01, 1101, 1321, 1561, 1801, 1X81, 2161, 2461, 2781, 2E01, 3261, 3621, 3X01, 4201, ...

3-dimensional figurate numbers Edit

Tetrahedral numbers (4-hedral numbers): 0, 1, 4, X, 18, 2E, 48, 70, X0, 119, 164, 1EX, 264, 31E, 3X8, 488, 580, 689, 7E0, 92X, X84, 1037, 1208, 13E8, 1608, 1839, 1X90, 2146, 2424, 2727, 2X54, 31X8, 3568, 3955, 4170, 45E6, 4X70, 5357, 5874, 6204, 6788, ...

Octahedral numbers (8-hedral numbers): 0, 1, 6, 17, 38, 71, 102, 173, 248, 349, 47X, 623, 804, X25, 108X, 137E, 1700, 1X95, 2306, 2797, 3110, 36E1, 4142, 4847, 5408, 6049, 6952, 7723, 8584, 94E9, X50X, E5EE, 10794, 11X55, 13206, 1466E, 16010, 17671, 19216, 1XX87, 20848, ...

Dozahedral numbers (10-hedral numbers) : 0, 1, 18, 70, 164, 31E, 580, 92X, 1208, 1839, 2424, 31X8, 4170, 5357, 6788, 8266, X014, 10075, 12430, 14E24, 17978, 1XE93, 22594, 263X2, 2X620, 330E1, 38038, 41460, 47184, 5140E, 57EX0, 6311X, 6X828, 76929, 83444, 90598, 9X190, X8447, E71X8, 106656, 116634, ...

Octadozahedral numbers (18-hedral numbers): 0, 1, 10, 40, X4, 193, 320, 51X, 7X0, E39, 1384, 1910, 2370, 2E37, 3840, 4696, 5694, 6849, 7E90, 94E4, E010, 10933, 12874, 14X26, 17220, 19871, 20570, 23530, 26784, 2X103, 31940, 3588X, 39E40, 42529, 47264, 50340, 55790, 5E3X7, 653X0, 6E786, 76374, ...

3-dimention centered figurate numbers Edit

Centered tetrahedral numbers: 1, 5, 13, 2E, 59, X1, 143, 207, 2E5, 411, 55E, 723, 925, E69, 1237, 1553, 1901, 2105, 2567, 2X6E, 3419, 3X35, 4503, 5047, 5849, 6511, 725E, 8077, 8E65, 9E29, XE8E, 10113, 11341, 12659, 13X67, 1536E, 16971, 18475, 1X083, 1E99E, 21809, ...

Centered cube numbers (Centered hexahedral numbers): 1, 9, 2E, 77, 139, 245, 3X7, 5E3, 875, 1001, 1423, 192E, 2331, 2X39, 365E, 43X7, 5269, 6275, 7417, 8723, 9EX5, E631, 11253, 1305E, 15061, 17269, 1968E, 20117, 22999, 258X5, 28X47, 30253, 33915, 37661, 3E683, 4398E, 48391, 51099, 560EE, 5E447, 64E09, ...

Centered octahedral numbers: 1, 7, 21, 53, X9, 173, 275, 3EE, 595, 807, XX1, 1227, 1629, 1XE3, 2449, 2X7E, 3595, 419E, 4XX1, 58X7, 6801, 7833, 8989, X053, E455, 1099E, 12475, 140X7, 15X81, 17X07, 19E09, 20193, 22629, 2505E, 27875, 2X67E, 31681, 34887, 380X1, 3E713, 43369, ...

Centered dozahedral numbers: 1, 29, 10E, 2E7, 639, E65, 1707, 2533, 3675, 4E61, 6843, 896E, E371, 12299, 1577E, 19667, 21EX9, 27015, 30777, 36XX3, 41X25, 49611, 55XE3, 6311E, 71121, 7EE49, 8E82E, X0417, E1E59, 104685, 118227, 130X53, 146795, 161681, 179763, 196X8E, 1E5491, 2151E9, 23629E, 258787, 280509, ...

Centered octadozahedral numbers: 1, 11, 47, 103, 219, 3X9, 64E, 99E, 1235, 17E1, 22X7, 2E37, 3939, 4909, 5X83, 723E, 8815, X425, 10287, 12397, 14771, 17229, 19EX3, 21073, 24475, 28005, 2EXEE, 34177, 38811, 41661, 46903, 50393, 562X9, 60665, 6729E, 723XE, 799E1, 85901, 92137, 9XXE3, X8209, ...

Other figurate numbers Edit

Pronic numbers: 0, 2, 6, 10, 18, 26, 36, 48, 60, 76, 92, E0, 110, 132, 156, 180, 1X8, 216, 246, 278, 2E0, 326, 362, 3X0, 420, 462, 4X6, 530, 578, 606, 656, 6X8, 740, 796, 832, 890, 930, 992, X36, XX0, E48, EE6, 1066, 1118, 1190, 1246, 1302, 1380, 1440, ...

Combinatorial numbers Edit

Central polygonal numbers (or pizza numbers): 1, 2, 4, 7, E, 14, 1X, 25, 31, 3X, 48, 57, 67, 78, 8X, X1, E5, 10X, 124, 13E, 157, 174, 192, 1E1, 211, 232, 254, 277, 29E, 304, 32X, 355, 381, 3XX, 418, 447, 477, 4X8, 51X, 551, 585, 5EX, 634, 66E, 6X7, 724, 762, 7X1, 821, ...

Cake numbers: 1, 2, 4, 8, 13, 22, 36, 54, 79, XX, 128, 174, 20E, 276, 332, 400, 4X1, 596, 6X4, 808, 947, XX2, 1056, 1228, 1419, 162X, 1860, 1XE4, 216E, 244X, 2752, 2X80, 3215, 3596, 3984, 41X0, 4627, 4XX2, 538X, 58X8, 6239, 6802, 7200, 7834, 82X3, 898X, 94E2, X054, X835, ...

Catalan numbers: 1, 1, 2, 5, 12, 36, E0, 2E9, 9E2, 2992, 9878, 2X02X, X0464, 2E9E04, X8E860, 32E6539, EX11746, 37501E06, 113E63350, 413X29906, 1332388970, 48X9853410, 158913XX4X0, 565X1E79016, 189EXX357590, ...

Partition numbers: 1, 1, 2, 3, 5, 7, E, 13, 1X, 26, 36, 48, 65, 85, E3, 128, 173, 209, 281, 34X, 443, 560, 6E6, 887, XE3, 1172, 14E0, 18XX, 219X, 2785, 32E0, 3E62, 49E9, 5X53, 715X, 8743, X4X1, 10631, 1307E, 16069, 19736, 21973, 26932, 30739, 37607, 436EX, 51106, 60242, 71289, 84505, 9X22X, E6X33, 116E59, 13XE23, 167577, 1991X4, 214X5E, 2574E6, 2X5X98, 341464, 3X736E, 461029, 5284X4, 6072X3, 6EEX7X, 810812, 940768, X928E5, 104XX73, 1234XE5, 1451880, 16X6359, 19809X7, 20X3821, 245X878, 28760X0, 313E76E, 3681907, 4090E18, 477X322, 5359590, 6043207, 6X4E067, 7996085, 8X80XE8, X129E65, E58412X, 11034535, 12931639, 148E09E1, 16E724X5, 1957X087, 2035E6EE, 2356E715, 27050388, 2E06X1E7, 33681228, 38751296, 42374274, 48811E57, 539X31X4, 5E9E5032, 68971203, 76X10932, 860E1819, 967891X5, X883X180, 1004838E9, 115E10X78, 1315E6368, 14E407XXX, 16E846603, 192X36924, 1E915X984, 226X0E2E5, 258468403, 2921E5734, 3107928X4, 354415967, 3X1988221, 435803E08, 4947245XE, 53E437X94, 5E2933715, 6739155E0, 7433X9620, 8226E7258, 9128E391E, X15201374, E2E3X58X6, 105XX14148, 11X5619128, 1349377435, 1510455860, 16E5120047, 19020EE978, 1E36246268, 21986E4334, 247081E8E3, 277X343147, 2E05647587, 3292E91708, 36X774X060, 3E50X952E1, 44509X0265, ...

Bell numbers: 1, 1, 2, 5, 13, 44, 14E, 611, 2490, 102X3, 57147, 288836, 14E2511, 9311E31, 53E2218X, 327197295, 20459410XE, 1408733E090, E0236185E27, 7X2511690995, 59745X3E31924, 45314E5074E013, 36155E8523432X3, 2X47E366432E8E0X, 24E41308681603889, ...

Euler up/down (zigzag) numbers: 1, 1, 1, 2, 5, 14, 51, 1X8, 975, 4714, 252X1, 1508X8, XX4125, 75X8714, 56922E31, 4516934X8, 3912217X95, 3480E58E314, 32X0E9407181, 33197549274X8, 3565850168X245, 3X34155E3640714, 4601E3055E3X7X11, 55XX66680080E08X8, 6EXE8X304029E68EE5, ...

Recursively defined numbers Edit

Fibonacci numbers: 0, 1, 1, 2, 3, 5, 8, 11, 19, 2X, 47, 75, 100, 175, 275, 42X, 6X3, E11, 15E4, 2505, 3XE9, 6402, X2EE, 14701, 22X00, 37501, 5X301, 95802, 133E03, 209705, 341608, 54E111, 890719, 121E82X, 1XE0347, 310EE75, 5000300, 8110275, 11110575, 1922082X, 2X3311X3, 47551X11, 75882EE4, 101214X05, 176X979E9, 2780E0802, 432E885EE, 6XE079201, E22045800, 1611102X01, 2533148601, 3E4424E402, 6477397X03, X3EE627205, 14876X03008, 2307642X211, 37931231219, 5X9X765E42X, 96718890647, 13550432EX75, 210021000500, 345525330375, 555546330875, 89XX6E66102X, 12343E59918X3, 1E13265432911, 314765E2045E4, 505X904637305, 81X636383E8E9, 11245068277002, 1942E40EXE68EE, 2X674478171901, 47XX3888068600, 7655814421X301, 10243EX10286901, 178997E544X5002, 27E21796476E903, 437EE38E9054905, 6E720E661804608, E3320335X859311, 162X412X00461919, 256161615E0EE02X, 3E8EX28E5E560947, 65314430EX65E975, X50127005X000700, 14X326E3158660475, 233339631E6660E75, 3816645635310142X, 5E49X1E95497623X3, 976446538X0863811, 136E2285122X405EE4, 2125672X4E0E069805, 349489E361394737E9, 55EX3521E048521402, 8X9303155185994EEE, 12491383742122E6401, 1E3643E50939808E400, 31835778815XX385801, 50E99E718X986455001, 8281372X5037481X802, 1137E16X01E13E073803, 19640520X6E4E3892405, 2X9EE68XX8X632946008, 4843EEXE939E26618411, 7723E67X808559362419, 10367E66X54648397X82X, 17X8EE129152X21121047, 28237X7976992X4X9E875, 441079904830106000900, 7034384X03093XXXX0575, E444E61X4E394E4XX1275, 16479326852468X398182X, 259022886X184198862XX3, 4017E5E33340XX80624711, 65X8187EX15930592875E4, X6041273149X1E198E0105, 14EE02E32E6374E76E776E9, 235E441X60E156X94867802, 385X471190550EX4E8232EE, 5EE98E3031466692448XE01, 98581642019E767740E2200, 13855X572332621498581101, 214E1EEE4350598050673301, 35147X566682EE9529034402, 56639X55XX135955796X7703, 8E7858E05496592XX671EE05, 12620374642X9E68464207608, 1E5989436978453E34X927511, 31EE90E811X724X77E2E32E19, 51595X3E7E636X26E4185X42X, 83592E37914X9312734791347, 114E6897750E2413967642E775, 19853E8E3224114501XE000E00, 2E14X866X73335589865430675, 489X2836195746X19X54431575, 77E314X1048X803X76E986202X, 1049141172226072055520935X3, 1808455E826E4875E104E935611, 285559713491X927E65X1X08EE4, 4461X310E74135X1X7631742605, 70E7408230132309X201354E5E9, E5592393275458XE89645092002, 16654645557677EE96E6586215EE, 25EE18828830018X9390X16E3601, 4064630821X6798X6X873X115000, ... (final digits are 0, 1, 1, 2, 3, 5, 8, 1, 9, X, 7, 5, 0, 5, 5, X, 3, 1, 4, 5, 9, 2, E, 1, 0, 1, 1, 2, 3, 5, 8, 1, 9, X, 7, 5, 0, 5, 5, X, 3, 1, 4, 5, 9, 2, E, 1, ..., the period is 20)

Lucas numbers: 2, 1, 3, 4, 7, E, 16, 25, 3E, 64, X3, 147, 22X, 375, 5X3, 958, 133E, 2097, 3416, 54E1, 8907, 121E8, 1XE03, 310EE, 50002, 81101, 111103, 192204, 2X3307, 47550E, 758816, 1012125, 176X93E, 2780X64, 432E7X3, 6XE0647, E22022X, 16110875, 25330XX3, 3E441758, 6477263E, X3EE4197, 148766816, 23075X9E1, 379305607, 5X9X643E8, 967169X03, 13550121EE, 2100180002, 3455192201, 5555352203, 89XX524404, 12343876607, 1E13219XX0E, 31475X55416, 505X8034225, 81X61X8963E, 112449E01864, 1942XE98E2X3, 2X6739890E47, 47XX2966022X, 765567331175, 10243949913X3, 1789940102558, 27E2114X9393E, 437EX54E96297, 6E71E69X6X016, E331X02X442E1, 162X39708E2307, 256157737365E8, 3E8E9524428903, 65313097E632EE, X5010600390002, 14X323698333301, 233334098703303, 381657774X36604, 5E498E851539907, 97642740637430E, 136E1E70578E2016, 2125622462066325, 34948194E995833E, 55EX23E95EX02664, 8X92X5925975X9X3, 12491098EE9561447, 1E363E3625710022X, 31835013254661675, 50E98E494XE7618X3, 82811E60744203358, 1137XXXXX03396503E, 196400X4X777E68397, 2X9EXE9387XE911416, 4843E07873678797E1, 7723X0503E5758E007, 103679108E3032487E8, 17X8E7159325X817803, 2823742662561X643EE, 44106E4035800680002, 7034236698162524401, E44492X711962EX4403, 16478E651X9E05508804, 259018938EE8684E1007, 4017X838XX97719E980E, 65X805107X941X2XX816, X603E149696E900X8425, 14EXEE65X2843XX39703E, 235E3X7X795E37X483464, 385X3X24602376885X4X3, 5EE978X31982E27121947, 9857E70779X669398022X, 1385573XX97695EXXX1E75, 214E16XE655540928621X3, 3514722X53101691744158, 56638919E86557643X633E, 8E783E484E757235E2X497, 126200866481E099X314816, 1E59847E2979480142430E1, 31EE8545923E389E2557907, 51594X04EEE884X0679X9E8, 8359134X9238017E9136703, 114E661539234866039154EE, 1985374X2647088200X50002, 2E14X163636X552804765501, 489X18E189E561XX055E5503, 77E2EX553163E7160X15XX04, 104911746EE59590413754307, 1808415X03101541X218E310E, 285553127305XE12235447416, 446194707616045405713X525, 70E72783291EE36629058593E, E5590033X335E7EX327704264, 1665427E71055XE645E8089EX3, 25EE1282XE38EX762923792247, 4064554260425970731E86022X, 666368054E7E5826X043432475, X7080147E001E59753630926X3, 1516E69513E81520233X6504E58, 238776X992E834799874959763E, 38X27182X6E44999EEE33XX0597, 606X287079E0825798681478016, 99509X3364X51035985E53585E1, 139EE06X42295929175076814607, 2174EX517877XX3075166EE70EE8, 3554XXEEEXX54759906726785603, 5709X9517761358X4581967365EE, 9062985176468128162901300002, ...

Tribonacci numbers: 0, 0, 1, 1, 2, 4, 7, 11, 20, 38, 69, 105, 1XX, 360, 653, EX1, 1994, 3408, 6181, E361, 1892X, 32250, 5X31E, X9299, 179848, 305244, 570169, X33039, 16X842X, 2X8E614, 53XXX7E, 9966901, 16025194, 2917X954, 50E4X829, 94132755, 152240116, 277301498, 4X1674147, 8XXEE5739, 144796E160, 2618418X24, 4753181701, 85E7349685, 13766927EXX, 248E5237174, 44X572E0827, 812E7253989, 12XX4777E768, 234E9X104160, 425120E17695, 788E4679E3X1, 12270457EE016, 22190E12E5X90, 4011081694287, 74551E8589171, 1168336E357308, 20E296293E8744, 39X45E95121001, 70436971874X51, 10E1XX374192596, 1E946E0EXE68428, 378X942249E3853, 685531697E32655, 103E8749EE892714, 1X8207X7005E8X00, 3587264E98201E69, 6488E98498491481, E9162EEE7509022X, 1976X541429763658, 3395181987E105147, 6121645E061938X11, E27165EX14X5X55E4, 187682676X6E427550, 31E3E351405E749955, 59959058905955X899, X84446557E68513E82, 178120X4390656005E4, 302302536206E473253, 566867X137081387809, X2508E191619623E454, 169203951E3306X7X2E4, 2X619745044562485355, 5358X80EE51X43582XX1, 9890872X1896E090652X, 15X8E4X83163X96752764, 28XE9020128340XX1EE73, 5065917E25E4996279045, 934256876X2007E82E760, 15097E866X698264908758, 2748424E17XE10EX7E5341, 498X2782413X9423131639, 8X24299807976786633516, 1433X97X9650550X835X294, 25E313147E21E9095E03227, 47094371163008948894X15, 853444446EX25XE0XE36314, 136349E0X453464931712354, 2467667040E4710589321481, 446238X57046214209969E29, 8071314695921895087X1742, 1297E14X08710XE20X3870E30, 23292831111292937EX20059E, 42103093872103531XX653051, 78154X52X4X4X518X90504560, 12152X75781187E43879157E90, 21E786682312267E39380E3581, 3E924X07097241054485753XE1, 73X34328X8963378EX7X9X3442, 1157157X0195X9E41808062X8E4, 20927291413X754040404E66027, 3968008211X2067028344378161, 6E95891154E669X484809950X80, 10X144064X817299531357073048, 1E7560X3852E3X22X222X9180069, 3754417E2940579X818251E83E75, 67XE26694131489XE6E8961E706X, 102E9091033X122X05XX21533E090, 1X6407538X253075X1761414EX0E3, 35528X8E657657719714030X34231, 642666E437199X5582783876713E4, E82141176XE966813E465399X3718, 1959X769E4E91X0889916936289141, 3362662XE35X925X39E1963E722051, 608265XX634787131E77X8E37928XX, E182E7874EX3777X273E3069581X80, 185X807X4X68X152E84X8E3X08767EE, 31831695X99E958010EX41141X0E369, 593X0710E146E28XE00103590047X28, X75EX265299369X1E94X13XE2711994, 17661045008EX3630EX4958604568E69, 2EE3XE206281896X1X79873X87106769, 5613E98EE62XX7XE4X374243821854XX, X171E935598059007899X34851839004, 16779X625E671125X2592E10X9XE0905E, 2X343X12E4X60574X30X8169XE290E551, 53073848XX29206X91358XE36234555E4, 97E75502427X374956X17E723E5071EX4, 159370E62259161710E26101390E216E29, 28839X0E15678E96937415X79727722505, 50170455603089667X1492X4382E9XE416, 9272535X98357358627E49915066728848, 14E51360352121099E4483661640203X567, 2721X91E78X7851X1152057173098556609, 494225E59E904161770281E4X2545101800, ...

Lucas 3-step numbers (or Tribonacci-Lucas numbers): 3, 1, 3, 7, E, 19, 33, 5E, XE, 181, 30E, 57E, X4E, 1719, 2E27, 5493, 9E17, 16315, 29703, 51933, 9574E, 154E85, 280447, 4XXE5E, 90436E, 1473755, 2666X63, 4822967, 8741363, 13X0XE71, 2517307E, 45703393, 82685403, 13133E855, 23950842E, 431311487, 79EE5954E, 124X777245, 225EX2605E, 408X53X833, 7578E1EE17, 118X72847X9, 21332723337, 3X596907X3E, 715E46E3963, 111301E22E19, 2012913226EE, 383E8793937E, 69655XE82997, 105E7E8022855, 1XEX1229229XE, 363427990841E, 6591E98651X63, EE04379081071, 19E0X61341E333, 343X4968E32247, 621E773941262E, E44XXXE9763EX9, 18XX8E3X3XX8863, 325575X1XX6327E, 5X89341004E3E0E, XX1179303243X31, 17E346722259XEEE, 308135862611693E, 5755980E4E93976E, X40X5847984334X9, 170256X2152287997, 2XE89X2787X438X33, 54401X925X8E380E7, 9X3E53X03E9640905, 16178509X6649E5833, 29438035144E372633, 51433X8102E17X8E6E, 94X2840401X5955215, 1536982EX19268E47E7, 279938583220223697E, 4X6241085411288478E, 8E7655946803E7E4145, 145E61339323546E3693, 26412XX1X324X6E703X7, 4798357301087E258003, 867905887754EX8EEX81, 138966X215E8664E0826E, 24E2EX961182822X64133, 45283614E334786670263, 81X89E911XE3X52420645, 13008148023XE23E934X1E, 237212X663617858805707, 4291622E778EX92X95XE6E, 7944366221705807299495, 12387XE7840X20192841E4E, 223X1884X1X22470887X393, 404E1E2688074X4X67997E7, 7505E6X731E793186099E19, 1179332969EX546179535XX7, 2112848X899X86782X1E15EE, 3X205766XXE8984E71805403, 70E053632695E769593308X9, 110237398X3715X75391276XE, 1EE3462X6E94432724806179E, 380486X27078E8895224E9E77, 68EX484XXX8855X00X7687245, 104E659600E19959485602699E, 1X9E970916X632842263EXEE9E, 35EE25680684957E6EX56X2003, 652X664E2260X5X11XX36E8981, EX096704440EE224E13118X963, 1993736EE713571857EEX369727, 34073485317X6498E901303524E, 617E82X57112EE17X4142571719, E35X6E1X99X4EE1139153954493, 189256689807663061X2X933E23E, 3224398920E7261333E58364522E, 5X307E27X6X12034X96X04718941, X9275361X3X3E0788346754X11XE, 179805056XE803704X4XX4164315E, 3051863247X4547E655X2EE64108E, 57004472151X973780217E6565419, X32X13XX0EEE3367740X937629647, 16X80229271026362998X831613E33, 2X8XX7E329620724611EE1635X6997, 53X98E5E3572249546398710628355, 9964797E8X245634153664X5627063, 160213512313886320094215963X193, 2917382313513453E6048515369158E, 50E397503347465X576571796736805, 9411270469E04755717778X87846367, 152203X77E48906480325E37E5X5253E, 277254110960498401047222582134XE, 4X156X69138822X218528929198E0195, 8XXX0665X075410X99899X876E956003, 14476092401X1E174E7251X1725859687, 261798236E6235565E145860EE32X3863, 475219604987X8829863882E288897331, 85E5565639484134872X76719X581865E, 13763501X3676635202X69E42065797633, 248XE0415018X91496679222311808E403, 44X47XX897591761434927816E67483495, 8129X4300E216XXE3X236798012912X30E, 12XX1535X369773655818657EX1E0680EX7, 234E3E677215639E619893919528507278E, 4250332456753604XE4094X7535X2861X85, 78898805E038551XX69E331526X5839563E, 122693X95E907330337E89E92537040XX093, 221873X0443E902271218X79311E43125597, ...

Pell numbers: 0, 1, 2, 5, 10, 25, 5X, 121, 2X0, 6X1, 1462, 33X5, 8030, 17445, 3X8EX, 94X41, 1X8580, 469981, E04102, 2275E85, 5434050, 10E22065, 2727815X, 63456361, 131E68860, 30736E861, 744688162, 1594503E65, 36E1494070, 8777270085, 18X239E41EX, 42402X58481, X16296X8E40, 20545X032341, 4E0325751602, EX5XX9315345, 2480100180090, 59260X96554X5, 11E1029726XX5X, 2974665EE731X1, 691X1397195220, 143E09212321621, 334EE77EE818262, 7E1E00611755E25, 17189E8822E080E0, 3X276E5X5756X105, 936EEX8515X242EX, 1X54768X8871E6701, 46243145X68215500, XXX1195X59E625501, 223X66842X27264302, 536723224231E31E05, 10950E108E28E108110, 26X4905382790146125, 62626EE81462E39835X, 12EX9E047XE82X8EX821, 3023X508EE3X889957X0, 7346691X797584469EX1, 156E4EE46366X156E1762, 3653467XE2X91E36512X5, 865621324941200794130, 187438923896E5E49E9545, 419217779X4601XX38XEEX, X0187005E566E991557541, 2020737878957E951281X80, 4X42E2359505XE473X9E281, E8X6582826X55X679040402, 24413X68X2694X85X9E5EX85, 585122984785333654E40150, 11923842175E7E53697X20165, 292986E1E777921X80878045X, 68298X260X932390XE1160X61, 141852342152219805XXX82160, 32E7814XX39175E11X8XXX5161, 7X0E9511X8E5517X4348850462, 16E172E7279805929X564385X65, 3984234372436481612553X0170, 9239E98250631315X0X52E46185, 1X2401X8853498XE122E3E2704EX, 456EX3717373X70E826911466E81, X943890EE0606E0X574561E82440, 220373991547505287538153XE841, 529E64472998X796385E990761902, 10782806E7101240340533766E3245, 26624X5664E9E33X0E946501948190, 618104E80507E8E85372417X1875X5, 129X4584X7311X932E6E9283X09E15X, 2E949E9952E2E9362456896363458X1, 7248053E911715437861298XX76X720, 15468XX58E5252801595925013662E21, 35E61X2357E656946735777915874562, 85370730834344292845058642E8EX25, 184683084X281232E000387099E8141E0, 4124E687X48858X87285057X2023E8205, 9X94746017810808154X47X91X44085EX, 1EX922388180X7100X161995458E011201, 49838EEE44E9X2X099852029614242XX00, E73482374E78709185645X30485386XX01, 240311472243304442892188X3629948602, 57796XE5E9822795X1E089388E8XE343X05, 1173X2E37198783E4066X784243008414210, 28X36096835157381E30X020155903E70225, 673XX464E87E6XE37E08680453261433465X, 13E6129X4789075235945E428EEX930619321, 3264140323220993X7598545X53007536E0X0, 79023XX4921122EX088EXX125X5XX5E1374X1, 1686891908744539000E9616XX229973621X62, 39217X246249X0X5X0X86E13022E658617E1X5, 910X05661150070881X4E440E281X903960230, 19E3989348529E2EE24765794X7733E9187E645, 44E8560135EX7E1070E15X7XX85X8686729E2EX, X7X88895E8501951142X62E72374854X423X041, 21891XE712X9XE5E2994X6471338815633757380, 5215067E8560X09368E0770198E08E454E530781, 105E7303661XE71064376184X891X2025125E8702, 262076730894002X43420XE9E33290E9374525985, 60X0X4297E86E7692XEE7E80933743E903E448250, 127X2430X4825E344X1414X3E59X558E34331EX265, 2E4656X465416X236E182583E8E0639X38X584475X, 714E15E9E345777E6848642EXE7E6147XX02687561, 1522486X05010X16283E13223982E667214XX997660, 35598677X93673X84E42E0877641X727017X023X661, 841999X19E7235XE0704E4756X4688E92486E254762, 18195423E685E2386615099E6931341214E0EX727965, 407886260E470814009X6706714714E4002X684X8270, 9952X4741558066467921EE0900361EX154X13500285, 1E76253523X3E19211442X6X8115218E02E06932X87EX, 490578E58921640X69457E184E2X7979X735E79X95681, E5855E247X26E9XE281368X35E725906956060E057940, 23854774305735EX9017094X34X53738E5636E97E89141, 56X7291XX8951E9852E35166X385984658612582EE2002, 11557X1E2060575737601E0600034E009XX65EE21E71145, 2859XE102E8X44E0382E73266X433786235712406E14290, 6651583E7EE92537XEEE4557188X02512598847339996X5, 13940X38E6E849364182X4218X39E406873105E67268E45X, 32113239X9E46904424580990X44883664EE983858E383X1, 77E672E492X5634306522597X707487795307X6E68544020, 1660258275383738X532X1050X057616X1361155771X04421, 387EE67477X308X9EE0XX467967EX4E940032X96290150862, 8EX016XEX9025114X3506X187E45441161406E061120X5925, 19840285451X7XE1785E000X1154X7120428448X64E43202E0, 444606E9890962E4833306E9XXX22665226894496XEX726305, X65414809E35849E03051205XE1938204941E16582E15708EX, 21532343E4778E07289412E0989189XX5E9307758E4X1647901, 514E8813E726E6604598770214552E5E043X3245E7074644300, ...

Companion Pell numbers (or Pell-Lucas numbers): 2, 2, 6, 12, 2X, 6X, 146, 33X, 802, 1742, 3X86, 9492, 1X82X, 4692X, E0286, 22727X, 542802, 10E0682, 2723946, 6338152, 1319802X, 306E01XX, 74378406, 1592249EX, 36X806002, 876634X02, 189E873806, 4235E60212, X14E77402X, 2051528826X, 4XE7X108546, EX4514X113X, 247860X8X802, 59195323X542, 11XE347347686, 2970425911692, 690EE9696X82X, 1439039742XE2X, 33470749608686, 7E0E167244407X, 171653872294802, 3X2198E969E1482, 935X09823X77546, 1X519E4422724352, 46195E646910402X, XX889X51389303XX, 22373184722764806, 535E31323820397EX, 109359429266820002, 26X0X9988893479802, 625534E82811557406, 12E8E579120E6370412, 301E4285X6X0207802X, 73377E08X38EX4X446X, 15692809E723EXX44946, 364X10088084E8171E3X, 864548233871E3168802, 18718X45335X8X2487342, 4187E1509X84777XEE286, X0057126E0X8016285892, 2019713X280587X844X82X, 4X37798E031X13XXE6312X, E890X8983241E386354X86, 24399534367X1EE3E650X7X, 5844793634605E245436802, 119070EX4X37E1X40X302282, 292569903EE9X97X61X3E146, 681E885E0X33892111E80552, 14165028X586544008598002X, 32E2991E803425522617005XX, 7X0006682632X324588E81006, 16XE2XX341099XE9E1E76425EX, 397X5X31447XX82X2980046002, 922827460X4773564937712602, 1X212E1016152131E043326E006, 456520949112E999455X2030612, X92E7079783E18X87E3E731002X, 220044210059133728419465066X, 52938349987X18412077643E1146, 107678XE8759547E96974X123293X, 265X721430828E03837X526856802, 6173X11828X2E2872214332724142, 1298634488648745607X6E8EXX2X86, 2E90449E179781E7735X62924X9X92, 7239310300180E388777753487X82X, 15446X6X5180EX0710691913EX2732X, 35E0E02913437905X991E17E4511286, 85264E0478483416X8110052884987X, 184418X364818253781E3E26499X8802, 411X9X7755080828X2EE8X5604423082, 9X819616529596X9421X981656632946, 1EX624XX83X777X0367394286E5488752, 4978673XE100912E4549561684538802X, E71E376865X91X3E054X8459E840207XX, 23EE71X54009709X95426X312791409406, 577117454675E3615E1X04X833268373EX, 11721X474113957X1937X78059222880002, 289E4X4716930X725065738E79770177402, 6730E7197279E2X2EX47131E94542EE2806, 13E414082400XE43849379X0E26636160812, 325E3786232979E5794EX8E3X255E32E402X, 78E287586X582732EE73538877562074886X, 168448X7E4022105E78769449154634589546, 3918024972XX0483234X50062X626896X373X, 90E85183199X2X50426449552X5978E754802, 19E10X593XX666163X85726E48759X28990E42, 44E1X212XE6XE315817569E4281554252E6686, X79492831X04504581E48X57X0X48677382092, 2185E4759277793X5056306X7X9X2X557X3X82X, 5209365797137E81390EXX02E786X556E03E52X, 105X0656944X2E88106760874722EE9475XE9686, 2618X4572649975034X4003302026X029XX3667X, 609393492525X2687X3361314E28179X3376X802, 127844E3174996065714E0295X056X17E46153X82, 2E42071E052X0X377X11166X110199E1903X56546, 7140573125X5E27993372145800925EE551X44952, 15202E98154E9E37324835939511829E07X772402X, 35546527413X199X420821800624181X09250909XX, 84093X2X980816E3E6607913X559E7172235885806, 1816E2184E5524E86330957X795200X5051946201EX, 40727817886E0E644607770X7539X13E805X2906002, 9940264EX473440533440797X80983644615X030202, 1E73308E755959772E0938X82495528485089X966406, 48EX640429422E72E14XE652082E8183927717740X12, E57038981021E8X111X72990393496102X3E1202802X, 2381E197849862535152151E2829931X42E353E794X6X, 569XX7410X772474E402X117582XE399888X991395946, 1153E8459X20XXE813957975220877X9598510X234453X, 2855X3438929503E76XE653EE998231494170E55X62802, 6643831134778E77457488351981021705E72E92049942, 1392129663660XE724618E9XX351X2746X4096XE9E3X286, 320861X21X5796XX015XX841187E954X892124989E06292, 77X7165XX0598093275E64611891515204832465594X82X, 1659X929E9E5318545459E54352227832966771X795X372X, 38764801X5E43E58014575328011685E7759648390915X86, 8E8X813189X1E079481509E975454082606184661E01347X, 198138X654178209295739129XXX029X47860E1940X940802, 443E61X4051163222E74070555305984E9563681238694882, X6404072623X885188834E21894XEX284276805E883XXX146, 215002309098XE80584EXX548E00X561982877780784470E52, 51440868879988061168119E76967XX638809E3X101081002X, 104181746245443907E64121400722332516X363427X5890EXX, 259783E39148653675074360777EE054E1E994EX663X0172006, 5EE50960051X52XX36090822734703210912516053365EE4EEX, 125859XE39E854E13252157X5X251E697082277EE50XE0160002, ...

Jacobsthal numbers: 0, 1, 1, 3, 5, E, 19, 37, 71, 123, 245, 48E, 959, 16E7, 31E1, 63X3, 10785, 2134E, 42699, 85177, 14X331, 298663, 575105, E2X20E, 1X58419, 38E4837, 75X9471, 12E96923, 25E71645, 4EE2308E, 9EX46159, 17E8902E7, 33E5605E1, 67XE00EX3, 1139X01E85, 2277803E4E, 4533407X99, 8X66813977, 15911427731, 2E622853263, 5E0454X6505, EX08X990X0E, 1E8159761819, 3E42E7303437, 7X85E2606871, 1394EX5011523, 2769E8X022X45, 5317E5804588E, X633XE408E559, 190679X815XXE7, 361137942E99E1, 702273685E77X3, 120452714EE3385, 2408X5229EX674E, 48158X457E91299, 942E588E3E62577, 1685XE55X7E04E31, 314E9XXE93X09X63, 629E799E67817905, 1057E377E1343360E, 20E3X733X26867019, 41X79267851512037, 839365134X2X24071, 147670X26985848123, 29312185174E494245, 5662434X329X96848E, E10486986579714959, 1X20951750E372296E7, 38416X32X1X724571E1, 74831865839248E23X3, 12946350E476495X4785, 256906X1X93096E8934E, 4E161183966171E56699, 9X302347710323XE1177, 1786046932206479X2331, 335009166441093784663, 66X016310882167349105, 111803062154431269620E, 2234061042X88625170419, 446810208595504X320837, 891420414E6XX098641471, 1562840829E198175082923, 2E05481457X37432X145645, 5X0X9428E3872865828E08E, E8196855X752550E455X159, 1E43714XE92X4XX1X8XE82E7, 3X872299E6589983959E45E1, 79524577E0E577476E7X8EX3, 136X48E33X1XE32931E395E85, 271895X67839X65663X76EE4E, 52356E91347790E107931EX99, X46E1E62693361X213663E977, 1891X3E051667038427107E731, 356387X0X3112074852213E263, 6E075381862241294X4427X505, 11X12X743504482569888538X0E, 238259286X08944E17554X75819, 4744E6551815689X32XX992E437, 9289E0XX342E15786599765X871, 16557X198685X2E350E7730E9523, 30XE3837514E85X6X1E3261E6X45, 619X7472X29E4E9183X6503E188E, 103792925857X9E634790X07X3559, 20736564E4E397E06936181386XE7, 41270E09X9X773X116703427519E1, 82521X179793278231206852X37X3, 144X4383373665344624114X587385, 2898874672710X6890482298E5274E, 557552912522191560944575XX5299, XE2XX5624X44362E01688E2E98X577, 19X598E049888705X03155X5E758E31, 378E75X09755520E8062XE8EE2E5X63, 735E2E8172XXX41E41059E5EX5XE905, 126EX5E432599883X820E7XEE8E9E60E, 251E8EX864E775479441E39EE5E7E019, 4X3E5E9509E32X936883X77EXEE3X037, 987XEE6X17X659671547933E9EX78071, 17539EE183390E7122X93667E7E934123, 32X77EX346761E2245967113E3E668245, 65933E8691303X448E712227X7E11448E, 10E667E51626078895E22445393X228959, 21E113XX305013556EX4488X76784556E7, 43X2279860X026XE1E88955931348XE1E1, 878453750180519X3E556XE6626959X3X3, 15348X72X0340X3787XXE19E10516E78785, 2X695925806818735399X37X20X31E3534E, 5916E64E41143526X777873841863X6X699, E631E09X82286X519333527483507919177, 1E063X179445518X36666X52946X13636331, 3X107833688XX358711118X5691827070663, 78213467155986E52222358E163452121105, 1344269122XE751XX44446E5X3068X424220E, 26885162459E2X39888891XE8611588484419, 5154X3048E7X58775555639E5022E54948837, X2X986095E38E532XXXE077XX045XX9695471, 185975016EX75XX65999X1339808E99716X923, 34E72X031E92E990E77782677415E772319645, 69E258063E65E761E3334513282EE32463708E, 117X4E4107E0EE303X6668X26545EX649072159, 23389X8213X1EX60791115850X8EE90961242E7, 467579442783E90136222E4X195EE61702485E1, 912E36885347E60270445X9836EEE0320494EX3, 1625X7154X693E0052088E97471EEX0640969E85, 304E922X99167X00X4155E72923EE81081717E4E, 609E645976313801882XEE25647EE42143233X99, ...

Jacobsthal-Lucas numbers: 2, 1, 5, 7, 15, 27, 55, X7, 195, 367, 715, 1227, 2455, 48X7, 9595, 16E67, 31E15, 63X27, 107855, 2134X7, 426995, 851767, 14X3315, 2986627, 5751055, E2X20X7, 1X584195, 38E48367, 75X94715, 12E969227, 25E716455, 4EE2308X7, 9EX461595, 17E8902E67, 33E5605E15, 67XE00EX27, 1139X01E855, 2277803E4X7, 4533407X995, 8X668139767, 159114277315, 2E6228532627, 5E0454X65055, EX08X990X0X7, 1E81597618195, 3E42E73034367, 7X85E26068715, 1394EX50115227, 2769E8X022X455, 5317E5804588X7, X633XE408E5595, 190679X815XXE67, 361137942E99E15, 702273685E77X27, 120452714EE33855, 2408X5229EX674X7, 48158X457E912995, 942E588E3E625767, 1685XE55X7E04E315, 314E9XXE93X09X627, 629E799E678179055, 1057E377E1343360X7, 20E3X733X268670195, 41X792678515120367, 839365134X2X240715, 147670X269858481227, 29312185174E4942455, 5662434X329X96848X7, E104869865797149595, 1X20951750E372296E67, 38416X32X1X724571E15, 74831865839248E23X27, 12946350E476495X47855, 256906X1X93096E8934X7, 4E161183966171E566995, 9X302347710323XE11767, 1786046932206479X23315, 3350091664410937846627, 66X0163108821673491055, 111803062154431269620X7, 2234061042X886251704195, 446810208595504X3208367, 891420414E6XX0986414715, 1562840829E1981750829227, 2E05481457X37432X1456455, 5X0X9428E3872865828E08X7, E8196855X752550E455X1595, 1E43714XE92X4XX1X8XE82E67, 3X872299E6589983959E45E15, 79524577E0E577476E7X8EX27, 136X48E33X1XE32931E395E855, 271895X67839X65663X76EE4X7, 52356E91347790E107931EX995, X46E1E62693361X213663E9767, 1891X3E051667038427107E7315, 356387X0X3112074852213E2627, 6E075381862241294X4427X5055, 11X12X743504482569888538X0X7, 238259286X08944E17554X758195, 4744E6551815689X32XX992E4367, 9289E0XX342E15786599765X8715, 16557X198685X2E350E7730E95227, 30XE3837514E85X6X1E3261E6X455, 619X7472X29E4E9183X6503E188X7, 103792925857X9E634790X07X35595, 20736564E4E397E06936181386XE67, 41270E09X9X773X116703427519E15, 82521X179793278231206852X37X27, 144X4383373665344624114X5873855, 2898874672710X6890482298E5274X7, 557552912522191560944575XX52995, XE2XX5624X44362E01688E2E98X5767, 19X598E049888705X03155X5E758E315, 378E75X09755520E8062XE8EE2E5X627, 735E2E8172XXX41E41059E5EX5XE9055, 126EX5E432599883X820E7XEE8E9E60X7, 251E8EX864E775479441E39EE5E7E0195, 4X3E5E9509E32X936883X77EXEE3X0367, 987XEE6X17X659671547933E9EX780715, 17539EE183390E7122X93667E7E9341227, 32X77EX346761E2245967113E3E6682455, 65933E8691303X448E712227X7E11448X7, 10E667E51626078895E22445393X2289595, 21E113XX305013556EX4488X76784556E67, 43X2279860X026XE1E88955931348XE1E15, 878453750180519X3E556XE6626959X3X27, 15348X72X0340X3787XXE19E10516E787855, 2X695925806818735399X37X20X31E3534X7, 5916E64E41143526X777873841863X6X6995, E631E09X82286X5193335274835079191767, 1E063X179445518X36666X52946X136363315, 3X107833688XX358711118X56918270706627, 78213467155986E52222358E1634521211055, 1344269122XE751XX44446E5X3068X424220X7, 26885162459E2X39888891XE86115884844195, 5154X3048E7X58775555639E5022E549488367, X2X986095E38E532XXXE077XX045XX96954715, 185975016EX75XX65999X1339808E99716X9227, 34E72X031E92E990E77782677415E7723196455, 69E258063E65E761E3334513282EE32463708X7, 117X4E4107E0EE303X6668X26545EX6490721595, 23389X8213X1EX60791115850X8EE90961242E67, 467579442783E90136222E4X195EE61702485E15, 912E36885347E60270445X9836EEE0320494EX27, 1625X7154X693E0052088E97471EEX0640969E855, ...

Padovan numbers: 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 10, 14, 19, 24, 31, 41, 55, 72, 96, 107, 148, 1X1, 253, 329, 434, 580, 761, 9E4, 1121, 1555, 1E15, 2676, 346X, 458E, 5E24, 7X39, X4E3, 11961, 16330, 20254, 28091, 36584, 48325, 62655, 828X9, XX97X, 125342, 171667, 214100, 2969X9, 385767, 4XXXX9, 660554, 874654, E4E441, 1314EX8, 1803X95, 2264429, 2E18X81, 3X68302, 51812XX, 6985183, 90295E0, EE46471, 139E2773, 18E73X61, 23939024, 30966614, 408E0X85, 546X3638, 71657499, 95394501, 10613XE15, 146X2E99X, 19E513416, 250E6X8E3, 3263431E4, 430482109, 5772E1XX7, 756805301, 9X7773EE4, 1111XE71X8, 15423792E5, 1XE966E1X0, 26542744X1, 343EX28495, 4551923681, 5X940X0976, 799174EE56, X425X04437, 11865830910, 161E7554391, 2008E635147, 27X611850X1, 36286E89518, 47E307EX228, 621281525E9, 821E7787744, XX058950825, 12432391X141, 170254518369, 21238066X966, 2945782364XX, 382614E87113, 4X69388X5254, 656E91201601, 869351870367, E41909XX6855, 1304322X71968, 17XE05E757000, 2246030958601, 2XE3382608968, 3X350904E3601, 51393E3365369, 6928452E00369, 8E7248385896X, EX65846265716, 1389X916759117, 18X18109E02484, 23744560X02831, 306E6X2465E59E, 4056066X9050E5, 5423E385462210, 71057493364694, 9479EX34167305, 1052968588068X4, 14583730750E999, 199X76690971EX9, 24XE11E64116681, 3236E1998281986, 428988634X8866X, 572603940398447, 75047X41114X434, 99E390375264XE5, 1102X8215152687E, 152E84X7863E3329, 1XX225250678E774, 2632710917919EX8, 3411XX1090E82XX1, 45149632224X9760, ...

Perrin numbers: 3, 0, 2, 3, 2, 5, 5, 7, X, 10, 15, 1X, 25, 33, 43, 58, 76, 9E, 112, 155, 1E1, 267, 346, 458, 5E1, 7X2, X49, 1193, 162E, 2020, 2802, 364E, 4822, 6251, 8271, XX73, 12502, 17124, 21375, 29626, 38499, 4X99E, 65E03, 87278, E48X2, 13117E, 17EE5X, 225X61, 2E1119, 3X59EE, 516E7X, 696E18, 900979, EE1X96, 1397895, 18E2853, 238976E, 308X528, 4080402, 5458097, 714X92X, 9518499, 105X6X05, 14667207, 19E032X2, 25052010, 3256X4X9, 42E552E2, 576004E9, 7550379E, 9X5557XE, 110E04098, 153X5938X, 1XE459887, 264961466, 3432E7055, 4541EE131, 5X80584EE, 7974E6186, X40257630, 1183552685, 16177517E6, 20037XX0E5, 279E0X427E, 361E33E8XE, 47X2892374, 61EX423E6X, 8202012063, X9X10E6322, 12400436011, 16EX3108385, 211X1530333, 293X3542396, 381846386E8, 4X584X72709, 65567E7XX92, 867494XE205, E3E30X3159E, 1300E546X097, 17X67X3207X4, 22402629E676, 2XX77378X87E, 3X26X460025X, 512799X6X335, 69125818XE19, 8E528246X593, EX3X36039252, 138651X6394E0, 18990E84X7825, 236X354676742, 3063616E25115, 4047450E62367, 541196E59E857, 70XXX67X87480, 9459200542002, 10500817467117, 14548068409482, 19959X179X9119, 24X48883874599, 322X5X841E659E, 427X669E6616E6, 57132747X6XE78, 74X90563858095, 99919227510672, 1100030XE707051, 1527X978E168747, 1X9920317017703, 2627E087X873798, 340509XX618424X, 450510E9588E29E, 5X30EX764X37X26, 790X1XX7EX53529, X3360E73X707105, 1173E1962488E353, 160442X5EX55X632, 1EX7529163396458, 2778348023229985, 35XE957761934X8X, 4763875186604221, 61680X3784E62853, 81536109283390XE, X90E95894E566X74, 122EE6E44E129E942, 16X633696778X3E63, 2100E4512408467E6, ...

Ulam numbers: 1, 2, 3, 4, 6, 8, E, 11, 14, 16, 22, 24, 30, 32, 3E, 40, 45, 49, 52, 59, 60, 65, 6X, 73, 81, 83, 86, 8X, 96, X6, XE, E6, 101, 104, 10E, 127, 129, 130, 132, 139, 145, 152, 155, 163, 165, 178, 17X, 181, 183, 191, 196, 198, 1X9, 1E6, 219, 224, 227, 230, 243, 245, 258, 25X, 263, 26X, 27X, 286, 294, 296, 2X1, 2X4, 2X6, 2E9, 2EE, 302, 309, 317, 320, 343, 345, 355, 35X, 376, 378, 394, 396, 3E2, 3E4, 409, 422, 425, 427, 430, 440, 443, 45X, 478, 481, 491, 494, 496, 49E, 500, 502, 510, 512, 517, 527, 551, 553, 566, 568, 584, 5X7, 5X9, 5E9, 600, 602, 623, 625, 635, 653, 671, 69E, 6X2, 6X7, 70X, 710, 713, 715, 71X, 720, 723, 725, 738, 75E, 761, 779, 77E, 799, 803, 805, 810, 813, 815, 82X, 833, 848, 866, 884, 889, 900, 910, 913, 915, 933, 936, 938, 94E, 954, 969, 977, 979, 990, 992, 9E0, 9E3, 9E5, X1X, X21, X26, X28, X41, X44, X59, X62, X64, X77, X80, X82, X92, X95, E0X, E16, E18, E28, E49, E4E, E52, E54, E64, E82, EX3, EX5, EE5, EE8, ...

By properties of sigma(n) Edit

Perfect numbers: 6, 24, 354, 4854, E29E854, 17E8891054, 22777E33854, 1057E377XX9481E854, 65933E8691303X4485432649E134E87854, ... (for even perfect numbers, except 6 and 24, all end with 54, besides, except 6, 24 and 354, all end with 054 or 854) (if any odd perfect number exists, then it must end with 1, 09, 39, 69 or 99)

Amicable number pairs: (164, 1E8), (828, 84X), (1624, 1838), (2XX4, 3278), (3734, 3828), (6274, 6348), (7139, 8543), (X014, X7X8), (30578, 38044), (32894, 32928), (329E3, 35209), (34353, 42869), (3X19X, 43422), (4X199, 5EX23), (5X909, 68XE3), (5X994, 5E328), (69E94, 74788), (6X432, 8178X), (83554, 86068), (86014, 887X8), (8E334, 99888), (95X18, 991X4), (116424, 157338), (12X724, 169798), (134E12, 1890XX), (152308, 1732E4), (1911X8, 19E614), (1X7518, 1E542X), (203154, 209X68), (212399, 214423), (24E548, 283674), (254E74, 291048), (261274, 294048), (267X08, 2X41E4), (270374, 275848), (282678, 319544), (2E0248, 325074), (328659, 357XX3), (365114, 3757X8), (373974, 3E3848), (398623, 463599), (401734, 423788), (43E942, 45027X), (478102, 4941EX), (47959X, 524022), (488169, 5948E3), (491E94, 520788), (519099, 547723), (54095X, 5E6862), (556283, 5E8539), (571928, 5X7694), (5X8572, 70364X), (5X9884, 704338), (60XE62, 65105X), (686472, 83574X), (729023, 762399), (845168, 849X54), (8EX38X, 991832), (X7E188, E9X434), (XE4328, E67294), (XE715X, 1044X62), (E01588, E92634), (E31928, EX1694), (E32538, 12E2684), ...

Betrothed number pairs (or quasi-amicable number pairs): (40, 63), (E8, 143), (736, 1145), (XE3, E54), (1208, 13E3), (3413, 3668), (5190, 9723), (5600, EEEE), (30388, 37833), (8EEE3, 9E608), (95988, X7373), (97728, 12XX93), (109E28, 205X13), (130XE8, 225X03), (214893, 223328), (237E08, 3350E3), (243E70, 43004E), (403220, 77899E), (441828, 542993), (46E288, 47X933), (46E898, 710323), (487288, 5483E3), (4X3448, 550773), (4E56X8, 616513), (4E7708, 5X44E3), (518866, X43355), (787969, 8E4252), (822598, X93623), (854X52, 874169), (872673, 989548), (888608, 10E35E3), (8X0348, 1067873), (935E88, 1012033), (X45680, 1X8253E), (EX8118, 1293723), ...

Abundant numbers: 10, 16, 18, 20, 26, 30, 34, 36, 40, 46, 48, 50, 56, 5X, 60, 66, 68, 70, 74, 76, 80, 84, 86, 88, 90, 94, 96, X0, X6, E0, E6, E8, 100, 106, 110, 114, 116, 120, 126, 128, 130, 136, 140, 144, 146, 148, 150, 154, 156, 160, 164, 166, 168, 170, 176, 180, 186, 190, 196, 198, 1X0, 1X6, 1X8, 1E0, 1E4, 1E6, 200, 206, 210, 214, 216, 218, 220, 226, 228, 230, 236, 240, 244, 246, 250, 252, 254, 256, 260, 264, 266, 268, 270, 276, 278, 280, 286, 288, 290, 294, 296, 2X0, 2X6, 2X8, 2E0, 2E6, 300, 306, 308, 310, 314, 316, 320, 324, 326, 328, 330, 336, 338, 340, 346, 34X, 350, 356, 358, 360, 366, 370, 374, 376, 380, 384, 386, 390, 394, 396, 39X, 3X0, 3X6, 3X8, 3E0, 3E6, 3E8, 400, 404, 406, 410, 416, 420, 426, 428, 430, 434, 436, 438, 440, 446, 450, 454, 456, 458, 460, 462, 466, 470, 476, 480, 486, 488, 490, 496, 4X0, 4X4, 4X6, 4X8, 4E0, 4E6, 500, 506, 508, 510, 514, 516, 518, 520, 524, 526, 530, 534, 536, 540, 542, 546, 550, 554, 556, 560, 566, 568, 570, 576, 578, 580, 584, 586, 590, 594, 596, 598, 5X0, 5X6, 5E0, 5E6, 5E8, 600, 604, 606, 610, 614, 616, 620, 626, 628, 630, 636, 63X, 640, 646, 648, 650, 654, 656, 660, 664, 666, 669, 670, 674, 676, 680, 686, 688, 690, 696, 698, 6X0, 6X6, 6X8, 6E0, 6E4, 6E6, 700, 706, 710, 716, 720, 724, 726, 728, 730, 736, 740, 744, 746, 748, 750, 756, 760, 766, 768, 770, 776, 778, 780, 786, 790, 794, 796, 7X0, 7X6, 7E0, 7E4, 7E6, 7E8, 800, 806, 808, 810, 816, 820, 824, 826, 828, 830, 832, 836, 840, 844, 846, 850, 854, 856, 858, 860, 866, 868, 870, 874, 876, 880, 886, 890, 896, 8X0, 8X6, 8X8, 8E0, 8E4, 8E6, 900, 904, 906, 910, 914, 916, 918, 920, 926, 92X, 930, 936, 938, 940, 946, 948, 950, 954, 956, 960, 964, 966, 968, 970, 976, 980, 986, 988, 990, 994, 996, 9X0, 9X4, 9X6, 9E0, 9E2, 9E6, X00, X06, X10, X14, X16, X18, X20, X26, X28, X30, X34, X36, X38, X40, X46, X48, X50, X54, X56, X60, X66, X68, X70, X76, X80, X84, X86, X90, X96, XX0, XX6, XX8, XE0, XE3, XE6, XE8, E00, E06, E10, E14, E16, E20, E22, E26, E30, E34, E36, E40, E46, E48, E50, E56, E58, E60, E64, E66, E68, E70, E74, E76, E80, E86, E90, E94, E96, E98, EX0, EX4, EX6, EE0, EE4, EE6, 1000, ...

Deficient numbers: 1, 2, 3, 4, 5, 7, 8, 9, X, E, 11, 12, 13, 14, 15, 17, 19, 1X, 1E, 21, 22, 23, 25, 27, 28, 29, 2X, 2E, 31, 32, 33, 35, 37, 38, 39, 3X, 3E, 41, 42, 43, 44, 45, 47, 49, 4X, 4E, 51, 52, 53, 54, 55, 57, 58, 59, 5E, 61, 62, 63, 64, 65, 67, 69, 6X, 6E, 71, 72, 73, 75, 77, 78, 79, 7X, 7E, 81, 82, 83, 85, 87, 89, 8X, 8E, 91, 92, 93, 95, 97, 98, 99, 9X, 9E, X1, X2, X3, X4, X5, X7, X8, X9, XX, XE, E1, E2, E3, E4, E5, E7, E9, EX, EE, 101, 102, 103, 104, 105, 107, 108, 109, 10X, 10E, 111, 112, 113, 115, 117, 118, 119, 11X, 11E, 121, 122, 123, 124, 125, 127, 129, 12X, 12E, 131, 132, 133, 134, 135, 137, 138, 139, 13X, 13E, 141, 142, 143, 145, 147, 149, 14X, 14E, 151, 152, 153, 155, 157, 158, 159, 15X, 15E, 161, 162, 163, 165, 167, 169, 16X, 16E, 171, 172, 173, 174, 175, 177, 178, 179, 17X, 17E, 181, 182, 183, 184, 185, 187, 188, 189, 18X, 18E, 191, 192, 193, 194, 195, 197, 199, 19X, 19E, 1X1, 1X2, 1X3, 1X4, 1X5, 1X7, 1X9, 1XX, 1XE, 1E1, 1E2, 1E3, 1E5, 1E7, 1E8, 1E9, 1EX, 1EE, 201, 202, 203, 204, 205, 207, 208, 209, 20X, 20E, 211, 212, 213, 215, 217, 219, 21X, 21E, 221, 222, 223, 224, 225, 227, 229, 22X, 22E, 231, 232, 233, 234, 235, 237, 238, 239, 23X, 23E, 241, 242, 243, 245, 247, 248, 249, 24X, 24E, 251, 253, 255, 257, 258, 259, 25X, 25E, 261, 262, 263, 265, 267, 269, 26X, 26E, 271, 272, 273, 274, 275, 277, 279, 27X, 27E, 281, 282, 283, 284, 285, 287, 289, 28X, 28E, 291, 292, 293, 295, 297, 298, 299, 29X, 29E, 2X1, 2X2, 2X3, 2X4, 2X5, 2X7, 2X9, 2XX, 2XE, 2E1, 2E2, 2E3, 2E4, 2E5, 2E7, 2E8, 2E9, 2EX, 2EE, 301, 302, 303, 304, 305, 307, 309, 30X, 30E, 311, 312, 313, 315, 317, 318, 319, 31X, 31E, 321, 322, 323, 325, 327, 329, 32X, 32E, 331, 332, 333, 334, 335, 337, 339, 33X, 33E, 341, 342, 343, 344, 345, 347, 348, 349, 34E, 351, 352, 353, 355, 357, 359, 35X, 35E, 361, 362, 363, 364, 365, 367, 368, 369, 36X, 36E, 371, 372, 373, 375, 377, 378, 379, 37X, 37E, 381, 382, 383, 385, 387, 388, 389, 38X, 38E, 391, 392, 393, 395, 397, 398, 399, 39E, 3X1, 3X2, 3X3, 3X4, 3X5, 3X7, 3X9, 3XX, 3XE, 3E1, 3E2, 3E3, 3E4, 3E5, 3E7, 3E9, 3EX, 3EE, ...

Semiperfect numbers (or pseudoperfect numbers): 6, 10, 16, 18, 20, 24, 26, 30, 34, 36, 40, 46, 48, 50, 56, 60, 66, 68, 70, 74, 76, 80, 84, 86, 88, 90, 94, 96, X0, X6, E0, E6, E8, 100, 106, 110, 114, 116, 120, 126, 128, 130, 136, 140, 144, 146, 148, 150, 154, 156, 160, 164, 166, 168, 170, 176, 180, 186, 190, 196, 198, 1X0, 1X6, 1X8, 1E0, 1E4, 1E6, 200, 206, 210, 214, 216, 218, 220, 226, 228, 230, 236, 240, 244, 246, 250, 252, 254, 256, 260, 264, 266, 268, 270, 276, 278, 280, 286, 288, 290, 294, 296, 2X0, 2X6, 2X8, 2E0, 2E6, 300, 306, 308, 310, 314, 316, 320, 324, 326, 328, 330, 336, 338, 340, 346, 34X, 350, 354, 356, 358, 360, 366, 370, 374, 376, 380, 384, 386, 390, 394, 396, 39X, 3X0, 3X6, 3X8, 3E0, 3E6, 3E8, 400, 404, 406, 410, 416, 420, 426, 428, 430, 434, 436, 438, 440, 446, 450, 454, 456, 458, 460, 462, 466, 470, 476, 480, 486, 488, 490, 496, 4X0, 4X4, 4X6, 4X8, 4E0, 4E6, 500, 506, 508, 510, 514, 516, 518, 520, 524, 526, 530, 534, 536, 540, 542, 546, 550, 554, 556, 560, 566, 568, 570, 576, 578, 580, 584, 586, 590, 594, 596, 5X0, 5X6, 5E0, 5E6, 5E8, 600, 604, 606, 610, 614, 616, 620, 626, 628, 630, 636, 63X, 640, 646, 648, 650, 654, 656, 660, 664, 666, 669, 670, 674, 676, 680, 686, 688, 690, 696, 698, 6X0, 6X6, 6X8, 6E0, 6E4, 6E6, 700, 706, 710, 716, 720, 724, 726, 728, 730, 736, 740, 744, 746, 748, 750, 756, 760, 766, 768, 770, 776, 778, 780, 786, 790, 794, 796, 7X0, 7X6, 7E0, 7E4, 7E6, 7E8, 800, 806, 808, 810, 816, 820, 824, 826, 828, 830, 832, 836, 840, 844, 846, 850, 854, 856, 858, 860, 866, 868, 870, 874, 876, 880, 886, 890, 896, 8X0, 8X6, 8X8, 8E0, 8E4, 8E6, 900, 904, 906, 910, 914, 916, 918, 920, 926, 92X, 930, 936, 938, 940, 946, 948, 950, 954, 956, 960, 964, 966, 968, 970, 976, 980, 986, 988, 990, 994, 996, 9X0, 9X4, 9X6, 9E0, 9E2, 9E6, X00, X06, X10, X14, X16, X18, X20, X26, X28, X30, X34, X36, X38, X40, X46, X48, X50, X54, X56, X60, X66, X68, X70, X76, X80, X84, X86, X90, X96, XX0, XX6, XX8, XE0, XE3, XE6, XE8, E00, E06, E10, E14, E16, E20, E22, E26, E30, E34, E36, E40, E46, E48, E50, E56, E58, E60, E64, E66, E68, E70, E74, E76, E80, E86, E90, E94, E96, E98, EX0, EX4, EX6, EE0, EE4, EE6, 1000, ...

Weird numbers: 5X, 598, 23EX, 345X, 41E4, 46E4, 5448, 6052, 614X, 62E4, 643X, 672X, 6922, 7012, 7302, 73EX, 78X2, 799X, 7E92, 808X, 866X, 904X, 9242, 933X, 9532, 9822, 991X, 9EE4, X202, X4E2, X7X2, XX92, XE8X, E27X, E472, E56X, EX52, 1052X, 10722, 1081X, 10X12, 114XX, 1179X, 12082, 1217X, 12372, 12662, 12X4X, 1313X, 1342X, 13622, 13912, 140EX, 142E2, 1469X, 14E82, 1507X, 15562, 1565X, 1594X, 15E42, 16232, 1661X, 16812, 1690X, 16E02, 174X2, 1788X, 17X82, 1826X, 18462, 18752, 19132, 1922X, 19XEX, 1X1XX, 1X692, 1X982, 1E072, 1E16X, 1E45X, 1E942, 20032, 20322, 2041X, 2070X, 209EX, 20EE2, 210XX, 2168X, 21E72, 2206X, 22262, 222E8, 22552, 22842, 2293X, 2331X, 23512, 23802, 23EXX, 24492, 2487X, 25162, 2554X, 2583X, 25E2X, 26122, 2650X, 267EX, 269E2, 2719X, 27392, 27X6X, 28352, 28932, 28X2X, 29312, 2940X, 29602, 296EX, 29EX2, 2X67X, 2X872, 2X96X, 2XE62, 2E63X, 2E832, 2E92X, 2EE22, 308XX, 30XX2, 3128X, 31772, 31E5X, 32152, 32442, 32732, 3320X, 33402, 336E2, 339X2, 3418X, 3447X, 34X5X, 35052, 35342, 3543X, 35922, 35X1X, 3610X, 365E2, 366XX, 36728, 36E92, 3708X, 3737X, 3804X, 38242, 3833X, 38532, 38822, 38E12, 392EX, 395XX, 3989X, 3X762, 3X85X, 3E142, 3E52X, 3EX12, ...

Primitive abundant numbers (abundant numbers all of whose proper divisors are not abundant numbers): 10, 16, 18, 26, 36, 48, 56, 5X, 66, 74, 86, 88, 96, E6, 126, 136, 144, 166, 186, 196, 1X8, 1E6, 214, 218, 226, 256, 264, 266, 268, 296, 2E6, 306, 328, 336, 338, 356, 384, 386, 39X, 3E8, 406, 426, 436, 456, 458, 462, 466, 486, 524, 536, 556, 578, 586, 596, 598, 604, 626, 636, 666, 669, 696, 6X8, 6E6, 724, 726, 756, 766, 7E6, 7E8, 806, 826, 828, 836, 844, 896, 914, 918, 936, 956, 966, 968, 986, 9E2, 9E6, X06, X38, X54, X56, X86, XE3, XE6, E26, E36, E58, E66, E86, E94, E96, EX4, 1026, 1096, 10E6, 10EX, 1104, 1106, 1114, 1126, 1168, 1196, 1198, 11XX, 1206, 1224, 1256, 1262, 1266, 1286, 12E6, 1336, 1339, 1342, 1344, 1366, 1396, 13E6, 1418, 1426, 1466, 1486, 1506, 151X, 1538, 1556, 1566, 156X, 15E4, 15E6, 1606, 1636, 1656, 1686, 16X4, 1706, 1726, 1736, 1756, 1778, 17E6, 1804, 1836, 1856, 1892, 1896, 1898, 18E6, 1924, 1926, 1986, 1988, 1996, 19E8, 1X1X, 1X52, 1X66, 1X96, 1E26, 1E56, 1E82, 1E86, 1E96, 2006, 2009, 2034, 2056, 2084, 2086, 20E6, 2106, 2136, 2158, 2166, 2186, 2196, 2222, 2236, 2278, 2286, 2296, 22E6, 2304, 2326, 2348, 2356, 2366, 23EX, 2406, 2426, 2432, 2453, 2456, 2496, 24E8, 2526, 2534, 2544, 2566, 2594, 25E6, 2636, 2664, 2666, 2674, 2696, 26E6, 2736, 273X, 2766, 2768, 2784, 2786, 2806, 2826, 2854, 2858, 2888, 2896, 28X2, 2926, 2978, 2986, 2996, 2X26, 2X36, 2X56, 2X66, 2X98, 2XE4, 2XE6, 2E14, 2E24, 2E66, 2E86, 2E96, 2EXX, 2EE6, 3066, 3086, 3096, 30X8, 30E6, 3108, 3118, 3123, 3164, 3196, 31E6, 3236, 3238, 3284, 3286, 3288, 3306, 3308, 3326, 3356, 3368, 3374, 3386, 3413, 3436, 3456, 345X, 3474, 3486, 34E6, 3504, 3536, 3566, 3569, 3606, 3626, 3656, 3666, 36E6, 3706, 3714, 3734, 3736, 3744, 3786, 3796, 3818, 3826, 3836, 3848, 3864, 3866, 3883, 38X8, 3936, 3938, 3948, 3956, 3966, 3986, 3994, 39E6, 3X26, 3X58, 3X66, 3X96, 3XX4, 3E06, 3E34, 3E49, 3E68, 3EE6, 4006, 4054, 4056, 4096, 4098, 4126, 4156, 4174, 4186, 41E4, 41E8, 4206, 4208, 4228, 4239, 4266, 4286, 42E6, 4318, 4326, 4336, 4366, 4369, 4406, 4438, 4448, 4456, 4484, 4526, 4536, 4556, 4586, 4596, 45X4, 4606, 4626, 4636, 4656, 4678, 46E4, 46E6, 4704, 4706, 4736, 4788, 47E4, 4819, 4886, 48E6, 48E8, 4926, 4966, 4974, 4X36, 4X53, 4X86, 4E36, 4E56, 4E66, 4E84, 4E86, 4EE6, 5036, 5056, 5058, 5066, 5096, 50X4, 5136, 5178, 5186, 5196, 51E6, 51E9, 5206, 5226, 5234, 5256, 52E6, 5334, 5353, 5356, 5396, 5436, 5444, 5448, 5466, 5486, 54E6, 5536, 5556, 5564, 5596, 55E6, 5643, 5666, 5686, 56E6, 5706, 5708, 5726, 5756, 5758, 5766, 5796, 5799, 57X4, 5826, 5878, 58E4, 5906, 5936, 5956, 5966, 5998, 5X66, 5X86, 5X88, 5X96, 5E26, 5E44, 5E86, 5E96, 6026, 6064, 6066, 6096, 6106, 6136, 6184, 6206, 6236, 6256, 6258, 6266, 6274, 62E4, 6306, 6356, 6378, 63E6, 6436, 64E6, 6508, 6524, 6538, 6566, 6596, 65E6, 65E8, 6606, 6626, 6636, 6648, 6686, 6726, 6756, 6764, 6786, 6798, 6856, 6866, 68E3, 6926, 6936, 6958, 69X4, 6X26, 6X56, 6X96, 6E06, 6E26, 6E36, 6E56, 6E96, 6E98, 7006, 7008, 7024, 7056, 7066, 70E6, 7144, 7166, 71E6, 7218, 7226, 7286, 7296, 72E6, 7306, 7338, 7356, 73E6, 7406, 7429, 7486, 7496, 74X4, 7506, 7526, 7536, 7578, 7583, 7586, 7604, 7606, 7696, 7698, 7774, 7796, 77E6, 7826, 7866, 7918, 7926, 7936, 7956, 7996, 7X09, 7X56, 7X66, 7X84, 7X86, 7E06, 7E36, 7E48, 7E58, 7E66, 7E86, 8026, 8036, 8104, 8126, 8134, 8156, 8166, 8196, 8198, 81E6, 8226, 8296, 82E8, 8306, 8326, 8336, 8366, 8386, 83E6, 8456, 8486, 84E6, 8508, 8538, 8566, 8584, 8586, 85E6, 8656, 8696, 8699, 86E4, 8706, 8726, 8833, 8836, 8844, 8906, 8924, 8956, 8996, 89E6, 8X26, 8X36, 8X44, 8X66, 8X88, 8X94, 8E56, 8EE6, 9006, 9038, 9086, 9106, 9126, 9158, 9186, 9236, 9278, 9286, 9296, 92E6, 9304, 9336, 9366, 9396, 93E6, 9406, 9424, 9426, 9456, 9496, 94X8, 94E6, 9506, 9536, 9586, 9596, 9618, 9626, 9666, 9686, 9736, 9738, 9786, 97E3, 9826, 9836, 9854, 9858, 9866, 9878, 9886, 9896, 98X4, 9956, 9X04, 9X06, 9X26, 9X56, 9X96, 9E06, 9E24, 9E26, 9EE4, 9EE6, 9EE8, X036, X044, X086, X0E6, X126, X166, X194, X1E6, X256, X284, X306, X326, X356, X368, X386, X388, X396, X478, X4E6, X504, X506, X556, X596, X598, X5E6, X666, X686, X6E8, X706, X732, X754, X766, X796, X818, X836, X856, X864, X886, X909, X966, X9E6, XX06, XX86, XXX4, XE78, XE96, XEE6, E006, E054, E066, E096, E098, E0E6, E153, E156, E186, E206, E226, E228, E244, E266, E356, E366, E386, E392, E396, E436, E438, E443, E556, E566, E596, E5X4, E606, E636, E656, E686, E696, E736, E756, E768, E798, E7E6, E806, E856, E866, E924, E926, E928, E936, E944, E9E6, EX26, EX2X, EX64, EE06, EE84, EE86, ...

Strictly primitive abundant numbers (abundant numbers all of whose proper divisors are deficient numbers): 18, 5X, 74, 88, 1X8, 214, 268, 328, 39X, 3E8, 462, 524, 598, 669, 828, 914, 968, 9E2, X54, XE3, E94, 10EX, 1114, 1168, 11XX, 1262, 1339, 1342, 151X, 156X, 15E4, 1892, 1988, 1X1X, 1X52, 1E82, 2009, 2034, 2222, 2348, 23EX, 2432, 2453, 2534, 2594, 2674, 273X, 2768, 2854, 2888, 28X2, 2XE4, 2E14, 2EXX, 30X8, 3108, 3123, 3288, 3308, 3368, 3374, 3413, 345X, 3474, 3569, 3714, 3734, 3848, 3883, 38X8, 3948, 3994, 3E34, 3E49, 3E68, 4054, 4174, 41E4, 4208, 4228, 4239, 4369, 4448, 46E4, 4788, 47E4, 4819, 4974, 4X53, 51E9, 5234, 5334, 5353, 5448, 5643, 5708, 5799, 58E4, 5X88, 6274, 62E4, 6508, 6538, 6648, 6798, 68E3, 7008, 7429, 7583, 7774, 7X09, 7E48, 8134, 8508, 8699, 86E4, 8833, 8844, 8X88, 97E3, 9854, 9878, 9EE4, X194, X368, X388, X732, X909, E054, E153, E228, E392, E443, E768, E924, EX2X, 100X8, 10269, 10454, 1078X, 10849, 10994, 10E39, 11198, 11314, 11383, 114X8, 11519, 12068, 12194, 12322, 12368, 12499, 12714, 12894, 128X8, 12X04, 13013, 13169, 132EX, 13459, 13768, 13X38, 13E3X, 14128, 14283, 143X8, 143E3, 14628, 146E8, 14994, 14E68, 14E98, 15062, 15244, 15314, 15323, 15823, 15854, 15884, 15X14, 15X28, 161X4, 161X8, 16203, 1624X, 164E3, 16714, 16868, 16939, 16E18, 17369, 17372, 17473, 17763, 17923, 180X4, 18154, 18202, 18268, 18412, 1876X, 18879, 18X94, 18E84, 19128, 1919X, 191X4, 19558, 19804, 19824, 19EE8, 1X494, 1X65X, 1XX84, 1XXX9, 1XE54, 1E094, 1E152, 1E1X8, 1E218, 1E538, 1E5X8, 1E782, 1E913, 20018, 20064, 20354, 203X8, 205X3, 20704, 20893, 20E09, 21014, 21224, 21528, 21738, 21814, 220X2, 222E8, 22668, 22679, 22783, 22814, 22X58, 22E54, 23078, 23094, 23144, 23269, 233X4, 234X3, 23638, 237E8, 23868, 24328, 24464, 24528, 248X9, 24939, 24952, 24X43, 24E54, 25032, 25094, 251X8, 25258, 25289, 25918, 25E28, 25E59, 25EX8, 2600X, 26224, 26338, 26378, 265X8, 26X94, 27058, 27258, 274E9, 27554, 27614, 27904, 27928, 281E3, 28358, 28444, 28479, 28644, 28X68, 28E39, 29068, 29294, 293X8, 29898, 29954, 29E38, 29E73, 2X02X, 2X338, 2X468, 2X678, 2X728, 2X858, 2XX14, 2XX1X, 2XX64, 2E354, 2E513, 2E528, 2E884, 2E9X8, 30154, 3022X, 303X4, 307X8, 30824, 309X8, 31124, 31163, 31414, 31418, 320X8, 32384, 32414, 32754, 32764, 32868, 32894, 32E23, 32E42, 32E68, 33128, 33178, 332X4, 33529, 33X28, 34194, 34268, 344X9, 344E8, 34618, 34718, 34754, 34933, 35014, 35054, 35222, 35392, 35468, 35653, 356E8, 35768, 358X4, 35X04, 35X49, 35E14, 36564, 36728, 3686X, 36904, 36X94, 37494, 374X8, 37614, 37698, 37E2X, 38344, 38499, 38949, 38X68, 38X84, 38EX8, 39064, 39204, 39594, 39644, 39853, 3X03X, 3X0X8, 3X324, 3X454, 3X6X4, 3X733, 3XXEX, 3XE09, 3XE28, 3XE68, 3XE72, 3E558, 3E559, 3E754, ...

Other prime factor or divisor related numbers Edit

Zeisel numbers: 89, 9X3, 1001, 1111, 2735, 3387, 8XX3, 12017, 12625, 13E47, 16589, 27451, 2X235, 56661, 9EX89, X0921, E3201, 11X7X3, 122461, 14296E, 150X21, 197721, 2058X3, 3E4701, 409875, 439161, 4EE1E1, 5E7889, 849089, 9120XE, EX53X7, ...

Friendly numbers: 6, 10, 20, 24, 26, 34, 36, 48, 50, 56, 66, 68, 70, 80, 86, 90, 96, X0, E0, E3, E6, E8, 106, 120, 126, 136, 148, 150, 156, 166, 168, 170, 176, 180, 186, 190, 196, 1X0, 1X6, 1X9, 1E0, 1E4, 1E6, 206, 210, 218, 220, 226, 236, 250, 256, 260, 264, 266, 270, ... (this sequence is not known to be complete up to 270, since there are many small numbers, including X, 12, 13, 18 and 1X, which have not been proved to be solitary. If any other numbers up to 270 are friendly, the smallest corresponding values of m are > 1020, like the status of the number 20, although 20 is friendly, its smallest friend is 2696E854)

Refactorable numbers: 1, 2, 8, 9, 10, 16, 20, 30, 34, 48, 50, 60, 68, 70, 74, 80, 88, 90, X8, E0, E4, 108, 110, 130, 134, 150, 169, 170, 174, 180, 188, 190, 1E0, 200, 208, 234, 248, 250, 260, 270, 274, 280, 290, 2E4, 309, 310, 314, 316, 330, 334, 340, 348, 350, 360, 370, 388, 3X8, 3E0, 3E4, 408, 420, 430, 441, 448, 450, 454, 474, 480, 490, 4E0, 4E4, 500, 510, 548, 560, 570, 574, 588, 590, 5E0, 5E4, 600, 608, 610, 614, 616, 628, 634, 660, 670, 690, 6E0, 708, 728, 730, 734, 740, 750, 769, 774, 788, 790, 800, 810, 820, 834, 840, 848, 850, 860, 870, 880, 882, 888, 890, 8E0, 908, 910, 930, 934, 940, 950, 954, 960, 974, 994, 9E4, X00, X08, X30, X68, X69, X70, X74, X88, X90, XE0, XE4, E08, E30, E40, E50, E60, E68, E70, E80, E88, E90, ...

Ruth-Aaron pairs (definition 1): (5, 6), (20, 21), (41, 42), (65, 66), (88, 89), (109, 10X), (269, 26X), (350, 351), (4E6, 4E7), (E82, E83), (1277, 1278), (13E7, 13E8), (1608, 1609), (173E, 1740), (3165, 3166), (3964, 3965), (3E37, 3E38), (515E, 5160), (5808, 5809), (7446, 7447), (7E7E, 7E80), (X967, X968), (10313, 10314), (11XX0, 11XX1), (12180, 12181), (12494, 12495), (12E53, 12E54), (13502, 13503), (18628, 18629), (1E241, 1E242), (21340, 21341), (23X8E, 23X90), (24276, 24277), (264E6, 264E7), (2E8X8, 2E8X9), (30X15, 30X16), (31208, 31209), (37598, 37599), (39952, 39953), ...

Ruth-Aaron pairs (definition 2): (5, 6), (8, 9), (13, 14), (65, 66), (X5, X6), (4E6, 4E7), (670, 671), (92X, 92E), (X68, X69), (10E2, 10E3), (1537, 1538), (1X68, 1X69), (2509, 250X), (2513, 2514), (3165, 3166), (3274, 3275), (3547, 3548), (3E83, 3E84), (4960, 4961), (4X93, 4X94), (61E3, 61E4), (7193, 7194), (8537, 8538), (9970, 9971), (9X74, 9X75), (X84X, X84E), (EX02, EX03), (124X7, 124X8), (13502, 13503), (13509, 1350X), (14568, 14569), (14809, 1480X), (17137, 17138), (19X84, 19X85), (19E09, 19E0X), (1EX65, 1EX66), (20800, 20801), (21013, 21014), (21E3E, 21E40), (21E8E, 21E90), (23620, 23621), (245E4, 245E5), (264E6, 264E7), (26948, 26949), (29043, 29044), (307X8, 307X9), (30856, 30857), (33608, 33609), (33X99, 33X9X), (34870, 34871), (35E58, 35E59), (3XE87, 3XE88), ...

Unusual numbers: 2, 3, 5, 6, 7, X, E, 11, 12, 13, 15, 17, 18, 19, 1X, 1E, 22, 24, 25, 27, 29, 2X, 2E, 31, 32, 33, 35, 36, 37, 38, 3X, 3E, 43, 44, 45, 47, 49, 4X, 4E, 51, 52, 55, 56, 57, 58, 59, 5E, 61, 62, 64, 65, 66, 67, 6X, 6E, 71, 72, 73, 74, 75, 77, 78, 79, 7X, 7E, 81, 83, 85, 86, 87, 88, 8X, 8E, 91, 92, 93, 95, 96, 97, 98, 99, 9X, 9E, X2, X3, X4, X7, X9, XX, XE, E1, E2, E4, E5, E6, E7, E9, EX, EE, 101, 102, 104, 105, 107, 108, 109, 10E, 110, 111, 112, 113, 115, 117, 118, 11X, 11E, 122, 123, 124, 125, 126, 129, 12X, 12E, 131, 133, 134, 135, 136, 137, 138, 13X, 13E, 141, 142, 145, 147, 149, 14X, 14E, 150, 151, 152, 153, 155, 157, 158, 159, 15X, 15E, 161, 162, 163, 165, 166, 167, 16X, 16E, 170, 171, 172, 174, 175, 177, 178, 179, 17X, 17E, 181, 184, 186, 187, 188, 189, 18E, 191, 192, 193, 195, 196, 197, 199, 19X, 19E, 1X1, 1X2, 1X3, 1X4, 1X5, 1X7, 1X8, 1XX, 1E0, 1E1, 1E2, 1E3, 1E5, 1E6, 1E7, 1E8, 1E9, 1EE, 202, 203, 204, 205, 207, 208, 20X, 20E, 211, 212, 213, 214, 215, 217, 219, 21X, 21E, 221, 222, 224, 225, 226, 227, 229, 22X, 22E, 232, 233, 234, 235, 237, 238, 239, 23X, 23E, 241, 243, 245, 246, 248, 249, 24X, 24E, 250, 251, 255, 256, 257, 258, 25X, 25E, 262, 265, 266, 267, 268, 269, 26X, 26E, 270, 271, 274, 275, 277, 279, 27X, 27E, 282, 283, 284, 285, 287, 289, 28X, 28E, 291, 292, 295, 296, 297, 298, 29X, 29E, 2X1, 2X2, 2X3, 2X4, 2X5, 2X6, 2X7, 2X9, 2XE, 2E1, 2E2, 2E3, 2E4, 2E6, 2E7, 2E8, 2EX, 2EE, 301, 302, 303, 304, 305, 306, 307, 30E, 310, 311, 312, 313, 315, 317, 318, 319, 31X, 321, 322, 324, 325, 327, 328, 329, 32X, 32E, 331, 332, 333, 334, 335, 336, 339, 33X, 33E, 341, 342, 343, 345, 347, 348, 349, 34E, 350, 351, 354, 355, 356, 357, 359, 35X, 35E, 361, 362, 364, 365, 367, 36X, 36E, 370, 371, 372, 373, 375, 376, 377, 378, 37X, 37E, 382, 383, 385, 386, 387, 388, 389, 38X, 391, 392, 393, 395, 397, 398, 399, 39E, 3X1, 3X2, 3X3, 3X4, 3X5, 3X6, 3X7, 3XX, 3XE, 3E0, 3E1, 3E2, 3E4, 3E5, 3E7, 3E9, 3EX, 401, 403, 404, 405, 406, 407, 408, 40X, 40E, 411, 412, 413, 414, 415, 418, 419, 41E, 421, 422, 423, 424, 426, 427, 429, 42X, 42E, 431, 432, 433, 435, 436, 437, 438, 43X, 43E, 442, 444, 445, 447, 448, 449, 44X, 44E, 450, 452, 453, 455, 456, 457, 459, 45E, 461, 463, 464, 465, 466, 467, 468, 469, 46X, 46E, 471, 472, 474, 476, 477, 478, 479, 47X, 47E, 481, 482, 485, 486, 487, 489, 48X, 48E, 491, 493, 494, 495, 497, 498, 49X, 49E, 4X0, 4X1, 4X2, 4X3, 4X5, 4X7, 4X9, 4XX, 4XE, 4E0, 4E1, 4E2, 4E3, 4E4, 4E5, 4E8, 4E9, 4EX, 4EE, 501, 503, 504, 505, 507, 50X, 50E, 510, 511, 512, 515, 516, 517, 518, 51X, 51E, 520, 521, 522, 523, 525, 527, 528, 529, 52X, 52E, 531, 532, 535, 536, 537, 538, 53X, 53E, 541, 543, 544, 545, 546, 547, 548, 549, 54X, 54E, 551, 553, 555, 556, 557, 558, 559, 55X, 55E, 561, 562, 563, 564, 565, 567, 569, 56X, 56E, 570, 572, 573, 574, 575, 577, 578, 579, 57X, 57E, 581, 582, 584, 585, 586, 587, 588, 58X, 58E, 591, 592, 593, 596, 597, 599, 59X, 59E, 5X2, 5X3, 5X4, 5X6, 5X8, 5X9, 5XE, 5E0, 5E1, 5E2, 5E4, 5E5, 5E7, 5E8, 5E9, 5EX, 5EE, 601, 602, 604, 605, 607, 608, 609, 610, 611, 612, 613, 615, 617, 619, 61X, 61E, 620, 621, 622, 624, 625, 626, 627, 62X, 62E, 631, 632, 633, 634, 635, 636, 637, 638, 639, 63E, 641, 642, 643, 644, 645, 647, 649, 64X, 64E, 651, 652, 653, 655, 656, 658, 659, 65X, 661, 662, 663, 664, 665, 666, 667, 668, 66X, 66E, 670, 671, 673, 675, 676, 677, 678, 67X, 67E, 682, 683, 684, 685, 687, 68X, 68E, 691, 692, 694, 695, 696, 697, 699, 69X, 69E, 6X0, 6X1, 6X3, 6X5, 6X7, 6X9, 6XX, 6XE, 6E0, 6E1, 6E2, 6E3, 6E6, 6E7, 6E8, 6E9, 6EX, 6EE, 701, 702, 703, 705, 708, 709, 70X, 70E, 711, 712, 715, 717, 718, 71X, 71E, 720, 721, 722, 724, 725, 726, 727, 729, 72X, 72E, 732, 733, 734, 735, 737, 738, 73E, 741, 743, 744, 745, 746, 747, 749, 74X, 74E, 750, 751, 752, 754, 755, 756, 757, 758, 759, 75E, 761, 762, 764, 766, 767, 76X, 76E, 771, 772, 773, 774, 775, 776, 777, 779, 77E, 782, 783, 784, 785, 786, 787, 788, 789, 78X, 78E, 791, 792, 793, 795, 797, 798, 79X, 7X0, 7X1, 7X2, 7X4, 7X5, 7X7, 7X8, 7X9, 7XX, 7XE, 7E1, 7E2, 7E3, 7E5, 7E6, 7E7, 7E8, 7E9, 7EE, 801, 802, 805, 806, 807, 809, 80X, 80E, 810, 811, 812, 813, 814, 815, 817, 818, 81X, 81E, 821, 823, 824, 825, 826, 828, 829, 82X, 82E, 831, 833, 834, 835, 836, 837, 83X, 83E, 841, 842, 843, 844, 845, 846, 847, 848, 84E, 850, 851, 852, 855, 857, 858, 859, 85X, 85E, 862, 863, 864, 865, 866, 867, 869, 86X, 870, 871, 872, 873, 875, 877, 878, 879, 87X, 87E, 881, 883, 884, 885, 887, 888, 889, 88X, 88E, 891, 892, 893, 894, 896, 897, 898, 899, 89X, 89E, 8X0, 8X1, 8X5, 8X6, 8X7, 8X9, 8XX, 8XE, 8E0, 8E1, 8E2, 8E5, 8E6, 8E7, 8E9, 8EX, 8EE, 901, 902, 903, 905, 907, 908, 90X, 90E, 910, 912, 914, 915, 916, 917, 918, 919, 91X, 91E, 921, 922, 924, 925, 927, 928, 929, 930, 931, 933, 934, 935, 936, 937, 938, 939, 93X, 93E, 941, 942, 943, 944, 945, 947, 949, 94X, 94E, 950, 951, 952, 953, 955, 956, 957, 95X, 95E, 962, 963, 965, 966, 968, 96X, 96E, 971, 972, 973, 974, 975, 977, 978, 979, 97X, 97E, 981, 982, 984, 985, 986, 987, 989, 98X, 98E, 991, 993, 995, 996, 997, 998, 999, 99X, 99E, 9X0, 9X1, 9X2, 9X3, 9X4, 9X6, 9X7, 9X8, 9XE, 9E1, 9E3, 9E4, 9E5, 9E6, 9E7, 9E8, 9E9, 9EX, 9EE, X01, X02, X06, X07, X08, X0E, X11, X12, X13, X15, X17, X18, X19, X1X, X20, X21, X22, X23, X24, X25, X27, X29, X2X, X2E, X30, X31, X32, X35, X37, X38, X3X, X3E, X41, X42, X43, X44, X45, X46, X49, X4X, X4E, X51, X52, X53, X54, X55, X56, X57, X59, X5X, X5E, X61, X62, X63, X64, X65, X6X, X6E, X70, X71, X72, X73, X74, X75, X77, X78, X79, X7X, X7E, X81, X82, X85, X86, X87, X88, X89, X8X, X90, X91, X93, X94, X95, X97, X98, X99, X9X, X9E, XX1, XX2, XX3, XX5, XX7, XX9, XXX, XXE, XE0, XE2, XE4, XE5, XE6, XE7, XE8, XEX, XEE, E01, E02, E04, E05, E06, E07, E08, E09, E0X, E11, E12, E13, E15, E16, E17, E18, E19, E1X, E1E, E20, E21, E23, E25, E26, E28, E2X, E2E, E31, E32, E33, E36, E37, E39, E3X, E3E, E41, E42, E43, E44, E45, E47, E48, E49, E4X, E4E, E50, E51, E52, E53, E54, E55, E57, E58, E5X, E5E, E61, E62, E63, E64, E65, E66, E67, E6E, E70, E71, E72, E73, E75, E77, E78, E79, E7X, E7E, E84, E85, E86, E87, E88, E89, E8E, E90, E91, E93, E94, E95, E96, E97, E9E, EX0, EX2, EX3, EX4, EX5, EX7, EX8, EX9, EXX, EE1, EE2, EE3, EE4, EE5, EE7, EE8, EEX, EEE, ...

Størmer numbers: 1, 2, 4, 5, 6, 9, X, E, 10, 12, 13, 14, 17, 18, 1X, 1E, 20, 21, 22, 23, 24, 25, 29, 2X, 2E, 30, 31, 33, 34, 36, 38, 39, 40, 41, 43, 44, 45, 46, 48, 4X, 4E, 50, 51, 52, 53, 54, 55, 56, 57, 59, 5E, 62, 65, 66, 67, 68, 69, 6X, 70, 71, 72, 73, 74, 75, 76, 78, 7X, 7E, 80, 81, 85, 86, 87, 88, 8X, 8E, 90, 91, 92, 95, 96, 97, 98, 9X, X0, X1, X4, X5, X6, X7, XX, XE, E2, E3, E4, E5, E6, E7, E8, E9, EE, 101, 102, 103, 104, 105, 106, 107, 108, 109, 10X, 110, 112, 113, 114, 115, 117, 118, 119, 11X, 11E, 120, 121, 122, 123, 127, 128, 12X, 12E, 130, 131, 134, 136, 138, 13X, 142, 143, 144, 145, 146, 147, 149, 14X, 150, 151, 152, 153, 154, 155, 156, 15X, 15E, 162, 163, 164, 165, 166, 167, 168, 169, 16X, 16E, 171, 172, 173, 174, 176, 177, 178, 17X, 180, 183, 184, 185, 186, 187, 188, 189, 18X, 190, 194, 195, 196, 197, 198, 199, 19X, 19E, 1X0, 1X3, 1X6, 1X7, 1X8, 1XE, 1E0, 1E1, 1E3, 1E4, 1E5, 1E6, 1E7, 1E8, 1E9, 1EE, 201, 202, 203, 204, 207, 208, 209, 20X, 20E, 210, 213, 214, 216, 218, 219, 21X, 220, 222, 223, 224, 225, 226, 228, 229, 22E, 230, 231, 232, 234, 235, 236, 237, 238, 239, 23E, 243, 244, 245, 248, 249, 24X, 24E, 251, 252, 254, 255, 256, 257, 258, 259, 25X, 25E, 261, 262, 263, 264, 265, 266, 267, 268, 269, 26X, 26E, 270, 271, 272, 273, 274, 277, 27E, 280, 281, 282, 283, 284, 285, 286, 287, 289, 290, 291, 292, 293, 294, 296, 298, 299, 29X, 29E, 2X1, 2X2, 2X4, 2X6, 2X7, 2X8, 2X9, 2XE, 2E0, 2E2, 2E4, 2E5, 2E6, 2E7, 2E8, 2E9, 2EX, 300, 301, 302, 303, 304, 308, 309, 30X, 310, 311, 312, 315, 317, 318, 319, 31X, 31E, 321, 322, 323, 325, 326, 328, 329, 32X, 330, 331, 332, 333, 334, 335, 336, 337, 33X, 33E, 340, 341, 342, 344, 346, 348, 34X, 350, 351, 353, 354, 355, 359, 35X, 35E, 361, 362, 364, 366, 369, 36X, 371, 372, 373, 375, 376, 377, 379, 37E, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 38E, 391, 392, 393, 394, 395, 396, 397, 398, 399, 39X, 39E, 3X2, 3X4, 3X6, 3X7, 3X9, 3E0, 3E3, 3E5, 3E6, 3E7, 3E8, 3E9, 3EX, 3EE, 400, 403, 405, 408, 409, 40X, 40E, 410, 411, 412, 413, 414, 416, 417, 418, 419, 41X, 420, 422, 423, 424, 427, 428, 429, 42X, 42E, 432, 435, 436, 437, 438, 43X, 440, 441, 442, 443, 444, 445, 446, 447, 449, 44X, 44E, 450, 451, 452, 453, 454, 455, 457, 458, 459, 45X, 461, 464, 465, 466, 468, 46X, 471, 472, 475, 476, 477, 478, 479, 47E, 480, 481, 482, 484, 485, 487, 488, 489, 48E, 491, 492, 494, 495, 496, 498, 49X, 49E, 4X0, 4X2, 4X3, 4X4, 4X6, 4X8, 4XX, 4E0, 4E1, 4E2, 4E3, 4E4, 4E5, 4E6, 4E7, 4E8, 4EE, 500, 501, 503, 504, 507, 508, 509, 50X, 510, 511, 512, 513, 514, 515, 516, 517, 518, 51X, 520, 521, 525, 526, 527, 528, 529, 52X, 532, 533, 534, 535, 536, 537, 538, 539, 53X, 540, 541, 542, 545, 546, 547, 549, 54X, 54E, 550, 551, 553, 554, 556, 559, 55X, 55E, 560, 561, 562, 564, 565, 567, 569, 56E, 570, 572, 574, 578, 57X, 57E, 580, 581, 583, 585, 587, 588, 589, 58X, 58E, 590, 592, 594, 595, 596, 597, 59X, 59E, 5X0, 5X1, 5X2, 5X5, 5X6, 5X7, 5X8, 5X9, 5XE, 5E0, 5E2, 5E3, 5E4, 5E6, 5E7, 5E8, 5E9, 5EX, 600, 601, 602, 603, 604, 605, 606, 608, 609, 60E, 610, 611, 612, 613, 614, 615, 617, 618, 619, 61X, 61E, 620, 622, 624, 626, 627, 628, 629, 62X, 62E, 630, 631, 632, 634, 636, 637, 638, 639, 63X, 640, 641, 643, 644, 645, 646, 648, 649, 64E, 651, 652, 653, 654, 655, 656, 658, 659, 65X, 65E, 660, 661, 663, 664, 665, 666, 667, 668, 66X, 66E, 671, 672, 673, 674, 675, 676, 677, 67E, 680, 682, 683, 684, 686, 687, 689, 68E, 690, 691, 692, 693, 694, 696, 697, 698, 699, 69X, 69E, 6X0, 6X1, 6X2, 6X4, 6X5, 6X6, 6X7, 6X8, 6XX, 6XE, 6E1, 6E2, 6E4, 6E5, 6E7, 6E8, 6E9, 6EX, 700, 701, 702, 703, 706, 70X, 70E, 710, 711, 712, 714, 715, 716, 717, 719, 71E, 721, 723, 724, 727, 729, 72X, 72E, 730, 732, 733, 735, 736, 737, 739, 73X, 73E, 740, 743, 744, 746, 747, 74X, 751, 752, 754, 755, 756, 758, 75X, 75E, 760, 761, 762, 763, 765, 768, 769, 76E, 770, 771, 772, 773, 774, 775, 776, 777, 778, 77X, 77E, 780, 781, 782, 783, 784, 786, 787, 788, 78X, 78E, 791, 793, 794, 795, 796, 798, 799, 79X, 7X1, 7X3, 7X4, 7X6, 7X7, 7X9, 7XX, 7E0, 7E2, 7E4, 7E5, 7E6, 7E7, 7E9, 7EX, 7EE, 801, 802, 803, 804, 808, 809, 80X, 80E, 811, 812, 813, 815, 816, 817, 818, 819, 81X, 81E, 820, 823, 824, 825, 826, 828, 829, 82E, 830, 831, 832, 834, 835, 836, 837, 839, 83X, 83E, 840, 842, 843, 844, 845, 846, 847, 848, 849, 84X, 84E, 850, 851, 853, 855, 856, 857, 858, 859, 85X, 860, 861, 862, 866, 867, 869, 86X, 86E, 870, 871, 872, 874, 875, 876, 878, 879, 87X, 87E, 881, 883, 887, 888, 889, 88X, 88E, 890, 895, 896, 89E, 8X0, 8X1, 8X2, 8X3, 8X4, 8X6, 8X7, 8X9, 8E0, 8E1, 8E2, 8E5, 8E6, 8E7, 8EX, 900, 902, 903, 906, 908, 909, 90X, 90E, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 924, 925, 926, 929, 92X, 930, 932, 934, 935, 936, 937, 938, 93X, 93E, 940, 941, 942, 944, 945, 946, 947, 949, 94X, 94E, 950, 951, 952, 953, 955, 956, 957, 958, 959, 95X, 95E, 960, 961, 963, 964, 966, 968, 969, 96X, 971, 973, 974, 976, 977, 979, 97E, 980, 982, 984, 985, 986, 987, 988, 989, 98X, 98E, 991, 992, 994, 996, 997, 999, 99E, 9X0, 9X1, 9X2, 9X3, 9X4, 9X5, 9X7, 9X9, 9XX, 9E1, 9E2, 9E6, 9E7, 9E8, 9E9, 9EE, X00, X02, X03, X04, X05, X06, X07, X08, X0X, X0E, X10, X11, X14, X15, X17, X18, X1X, X21, X22, X24, X25, X26, X27, X28, X29, X2X, X33, X34, X35, X36, X38, X39, X40, X41, X42, X43, X44, X46, X47, X49, X4X, X4E, X50, X51, X52, X53, X54, X55, X56, X58, X59, X5X, X5E, X60, X61, X63, X64, X65, X66, X67, X68, X69, X6X, X6E, X70, X73, X74, X75, X76, X77, X79, X7E, X80, X82, X83, X84, X85, X88, X89, X8X, X90, X92, X93, X94, X96, X97, X98, X99, X9E, XX3, XX4, XX5, XX6, XX9, XXX, XE0, XE1, XE2, XE3, XE4, XE5, XE7, XE8, XE9, XEX, XEE, E00, E02, E03, E04, E05, E07, E08, E09, E0X, E0E, E10, E12, E13, E14, E18, E19, E1X, E20, E21, E22, E23, E24, E25, E26, E27, E28, E29, E2X, E2E, E32, E34, E35, E36, E38, E39, E3X, E3E, E40, E42, E43, E46, E47, E48, E4X, E4E, E50, E51, E52, E53, E55, E56, E57, E58, E59, E5X, E62, E64, E65, E66, E67, E68, E69, E6X, E6E, E71, E72, E75, E76, E78, E79, E7E, E80, E81, E84, E85, E86, E87, E88, E89, E8X, E8E, E90, E92, E93, E95, E96, E98, E99, E9E, EX0, EX1, EX2, EX5, EX8, EXE, EE0, EE1, EE2, EE4, EE5, EEX, 1000, ...

Possessing a specific set of other numbers Edit

Stern primes: 2, 3, 15, E5, 16E, 695, 82E, X45, ... (conjectured no others)

Stern numbers: 1, 3, 15, E5, 16E, 695, 82E, X45, 3415, 3575, ... (conjectured no others)

de Polignac numbers: 1, X7, 105, 18E, 237, 241, 271, 365, 41E, 4X5, 531, 575, 611, 635, 637, 67E, 695, 6E1, 70E, 767, 83E, 847, 84E, 877, 88E, 89E, X31, X75, X85, X91, E05, E11, E2E, E55, E61, EE3, 1027, 1041, 1047, 1067, 1085, 10XE, 10E7, 1147, 1181, 1185, 1195, 130E, 1337, 1345, 135E, 1387, 139E, 13E1, 1461, 14X5, 1515, 1547, 15XE, 1665, 1677, 1745, 178E, 17EE, 1825, 1887, 1895, 189E, 1905, 197E, 19X5, 19E7, 1X11, 1X17, 1X3E, 1X5E, 1XXE, 1E25, 1E27, 1E35, 1E9E, 1EX1, 2041, 206E, 2131, 2137, 2155, 2181, 21E7, 222E, 2261, 2285, 22E1, 2367, 2381, 2395, 23X5, 2427, 249E, 24X1, 2517, 2545, 257E, 25E3, 2607, 2733, 2767, 2787, 2791, 27X5, 2821, 2835, 2847, 286E, 2891, 2925, 294E, 2951, 2975, 2977, 2987, 29E5, 2E31, 2E4E, 2E71, 2E87, 309E, 30E7, 3165, 31E7, 3271, 32E5, 3301, 3395, 3397, 33X1, 33E7, 3401, 340E, 3511, 3517, 353E, 3581, 3599, 3615, 3621, 365E, 3695, 36X5, 3701, 3747, 3765, 3777, 3857, 3881, 3895, 38X7, 3925, 3935, 3947, 394E, 3957, 3X11, 3X2E, 3X41, 3X8E, 3XE1, 3E1E, 3E45, 3E71, 3E85, 3E97, 4025, 4145, 417E, 4195, 41X1, 41EE, 4257, 4275, 4281, 429E, 42XE, 42EE, 432E, 4337, 4339, 4341, 4351, 4361, 4373, 4425, 443E, 444E, 447E, 4497, 4597, 45X1, 4607, 461E, 4627, 462E, 4631, 4655, 4677, 46X5, 46E5, 4735, 4787, 4793, 481E, 4837, 483E, 4865, 487E, 4941, 4967, 4X0E, 4X2E, 4X3E, 4X4E, 4X65, 4X97, 4E27, 4E57, 4E77, 4EX5, 5025, 5067, 5105, 513E, 5155, 5165, 5175, 5187, 51XE, 51E5, 51E7, 5201, 5245, 5325, 5337, 541E, 5477, 550E, 5527, 555E, 5581, 5595, 5611, 5615, 5645, 5655, 5665, 5691, 56E5, 57E7, 5815, 5897, 58E5, 5905, 591E, 5955, 595E, 5971, 5977, 59X5, 59EE, 5X35, 5X9E, 5E0E, 5E11, 5E25, 5E87, 5EE1, 600E, 601E, 6035, 6067, 606E, 6097, 60EE, 6101, 6135, 617E, 618E, 6235, 6281, 62X1, 62X5, 6361, 6405, 6417, 645E, 6467, 647E, 64X5, 64E5, 64E7, 6515, 6541, 6545, 656E, 659E, 65XE, 65E7, 65EE, 6607, 663E, 6645, 6671, 6687, 6697, 672E, 674E, 6751, 6811, 6819, 6825, 684E, 6861, 688E, 6927, 6955, 6967, 698E, 69X5, 69E5, 6X41, 6X85, 6X95, 6E35, 6E47, 702E, 707E, 708E, 70X7, 70E5, 70EE, 710E, 71XE, 71E1, 7215, 7237, 723E, 727E, 72E1, 7357, 73EE, 7447, 744E, 7451, 7465, 749E, 74E1, 7551, 7555, 7595, 75X5, 7635, 76X3, 76XE, 76E1, 76E7, 7737, 7755, 7795, 7831, 7841, 7887, 7901, 7915, 794E, 7965, 7X45, 7X57, 7X6E, 7XEE, 7E47, 7E9E, 8015, 802E, 8061, 8065, 80E5, 8105, 8135, 8145, 8147, 815E, 8167, 816E, 8191, 8195, 81E1, 81E7, 8225, 8227, 8297, 829E, 82E5, 831E, 833E, 8377, 839E, 83X5, 83X7, 8407, 8431, 844E, 8457, 8461, 8475, 84XE, 84E1, 8535, 8551, 8557, 857E, 85E5, 8665, 86X1, 873E, 8771, 8775, 87EE, 8805, 8831, 8851, 8855, 8857, 886E, 887E, 88X5, 88E5, 88EE, 8901, 8907, 8925, 8935, 8957, 8981, 8987, 89X7, 8X2E, 8X71, 8X7E, 8X91, 8XE5, 8E0E, 8E95, 8EEE, 9047, 9075, 9105, 911E, 916E, 9177, 9195, 9211, 9225, 9287, 9299, 9311, 9325, 9335, 9337, 933E, 93X5, 93E1, 9431, 9441, 9445, 9471, 9575, 95E1, 95E5, 966E, 9677, 96X7, 96EE, 9735, 9759, 9771, 981E, 982E, 9841, 9855, 9867, 986E, 9901, 9915, 9917, 99X5, 9X25, 9X3E, 9X47, 9X71, 9X77, 9X81, 9XX1, 9E01, 9E0E, 9E79, 9EX1, 9EE1, X021, X03E, X04E, X075, X077, X0XE, X105, X111, X137, X155, X17E, X1E1, X20E, X221, X26E, X285, X31E, X33E, X347, X351, X397, X3E5, X405, X427, X445, X455, X485, X4X1, X529, X575, X587, X60E, X655, X657, X717, X75E, X787, X7E7, X847, X871, X89E, X8E1, X927, X92E, X931, X951, X991, X9EE, XX57, XX81, XXX5, XE05, XE15, XE21, XE27, XE29, XE2E, XE3E, XE7E, XE8E, XEEE, E041, E071, E091, E0X7, E0XE, E10E, E121, E18E, E1X1, E21E, E241, E251, E255, E26E, E337, E3EE, E43E, E455, E4X5, E567, E577, E615, E665, E675, E781, E7X5, E7X7, E82E, E835, E8X7, E905, E915, E917, E965, E967, E9E1, EX17, EX5E, EXEE, EE07, EE21, EE27, EE3E, EE4E, EE51, EE85, EE97, EEX5, ...

Taxicab numbers: 1001, 2460, 8008, EE77, 17000, 1X900, 1E201, 23023, 31208, 32054, 54054, 54160, 65923, 72551, 7E908, 83160, 95401, X5023, X50X5, 108000, 132000, 135408, 139817, 160160, 174E99, 192139, 194X69, 208X60, 209454, 20X2EE, 214368, 22E209, 247247, 28EX17, 29EE81, 32X308, 347853, 368368, 369000, 384969, 3X0808, 3E5597, 3EE768, 408408, 410300, 432300, 4391EE, 43X160, 441623, 448448, 497748, 509509, 53X054, 542360, 561000, 57X760, 61E439, 636808, 657360, 6E4160, 6E46E4, 6E7760, 717000, 750101, 8294E3, 854000, 92E92E, 987567, X14000, X36854, X481EE, X65508, X99677, E616X8, ...

Congruent numbers: 5, 6, 7, 11, 12, 13, 18, 19, 1X, 1E, 20, 24, 25, 26, 27, 2X, 31, 32, 33, 35, 39, 3X, 3E, 44, 45, 46, 47, 48, 50, 51, 52, 53, 55, 59, 5X, 5E, 65, 66, 67, 68, 70, 71, 72, 73, 74, 78, 79, 7X, 7E, 80, 85, 86, 87, 91, 92, 93, 94, 98, 99, 9X, 9E, X0, X4, X5, X6, X7, E1, E2, E3, E4, E5, E6, E9, EX, EE, 101, 104, 105, 106, 107, 108, 10X, 110, 111, 112, 113, 115, 118, 119, 11X, 11E, 125, 126, 127, 130, 131, 132, 133, 134, 138, 139, 13X, 13E, 142, 145, 146, 147, 151, 152, 153, 154, 156, 158, 159, 15X, 15E, 160, 163, 164, 165, 166, 167, 168, 16X, 171, 172, 173, 179, 17X, 17E, 180, 184, 185, 186, 187, 188, 190, 191, 192, 193, 195, 198, 199, 19X, 19E, 1X1, 1X5, 1X6, 1X7, 1E0, 1E1, 1E2, 1E3, 1E4, 1E8, 1E9, 1EX, 1EE, 203, 205, 206, 207, 20E, 211, 212, 213, 216, 218, 219, 21X, 21E, 220, 221, 224, 225, 226, 227, 228, 22E, 231, 232, 233, 236, 239, 23X, 23E, 240, 244, 245, 246, 247, 248, 250, 251, 252, 253, 254, 255, 259, 25X, 25E, 265, 266, 267, 268, 269, 26E, 270, 271, 272, 273, 274, 278, 279, 27X, 27E, 280, 282, 285, 286, 287, 28E, 291, 292, 293, 298, 299, 29X, 29E, 2X0, 2X2, 2X4, 2X5, 2X6, 2X7, 2E1, 2E2, 2E3, 2E6, 2E9, 2EX, 2EE, 302, 304, 305, 306, 307, 308, 30X, 310, 311, 312, 313, 314, 319, 31X, 31E, 321, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 338, 339, 33X, 33E, 340, 345, 346, 347, 351, 352, 353, 354, 358, 359, 35X, 35E, 360, 361, 364, 365, 366, 367, 36X, 371, 372, 373, 379, 37X, 37E, 384, 385, 386, 387, 388, 390, 391, 392, 393, 394, 396, 398, 399, 39X, 39E, 3X0, 3X5, 3X6, 3X7, 3X9, 3E0, 3E1, 3E2, 3E3, 3E4, 3E8, 3E9, 3EX, 3EE, 404, 405, 406, 407, 409, 411, 412, 413, 414, 418, 419, 41X, 41E, 420, 422, 424, 425, 426, 427, 428, 429, 431, 432, 433, 434, 439, 43X, 43E, 440, 444, 445, 446, 447, 448, 450, 451, 452, 453, 458, 459, 45X, 45E, 463, 465, 466, 467, 468, 46X, 470, 471, 472, 473, 474, 478, 479, 47X, 47E, 482, 485, 486, 487, 491, 492, 493, 495, 498, 499, 49X, 49E, 4X0, 4X4, 4X5, 4X6, 4X7, 4E1, 4E2, 4E3, 4E9, 4EX, 4EE, 500, 501, 503, 504, 505, 506, 507, 508, 50E, 510, 511, 512, 513, 514, 519, 51X, 51E, 525, 526, 527, 528, 530, 531, 532, 533, 534, 535, 538, 539, 53X, 53E, 545, 546, 547, 548, 549, 551, 552, 553, 558, 559, 55X, 55E, 560, 561, 564, 565, 566, 567, 571, 572, 573, 579, 57X, 57E, 584, 585, 586, 587, 588, 590, 591, 592, 593, 594, 599, 59X, 59E, 5X0, 5X5, 5X6, 5X7, 5X8, 5XX, 5E0, 5E1, 5E2, 5E3, 5E4, 5E8, 5E9, 5EX, 5EE, 600, 602, 605, 606, 607, 610, 611, 612, 613, 614, 618, 619, 61X, 61E, 620, 621, 622, 624, 625, 626, 627, 628, 631, 632, 633, 634, 635, 639, 63X, 63E, 643, 644, 645, 646, 647, 648, 650, 651, 652, 653, 659, 65X, 65E, 665, 666, 667, 670, 671, 672, 673, 674, 678, 679, 67X, 67E, 680, 685, 686, 687, 691, 692, 693, 694, 698, 699, 69X, 69E, 6X0, 6X1, 6X3, 6X4, 6X5, 6X6, 6X7, 6X8, 6XE, 6E1, 6E2, 6E3, 6E7, 6E9, 6EX, 6EE, 700, 704, 705, 706, 707, 708, 710, 711, 712, 713, 715, 718, 719, 71X, 71E, 725, 726, 727, 728, 730, 731, 732, 733, 734, 738, 739, 73X, 73E, 741, 744, 745, 746, 747, 751, 752, 753, 755, 758, 759, 75X, 75E, 760, 761, 764, 765, 766, 767, 771, 772, 773, 779, 77X, 77E, 780, 781, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 796, 799, 79X, 79E, 7X3, 7X5, 7X6, 7X7, 7X8, 7E0, 7E1, 7E2, 7E3, 7E4, 7E5, 7E6, 7E8, 7E9, 7EX, 7EE, 802, 803, 805, 806, 807, 810, 811, 812, 813, 815, 818, 819, 81X, 81E, 820, 822, 824, 825, 826, 827, 829, 82X, 831, 832, 833, 837, 838, 839, 83X, 83E, 841, 844, 845, 846, 847, 848, 850, 851, 852, 853, 855, 859, 85X, 85E, 860, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 878, 879, 87X, 87E, 880, 881, 884, 885, 886, 887, 891, 892, 893, 894, 898, 899, 89X, 89E, 8X0, 8X4, 8X5, 8X6, 8X7, 8X8, 8XX, 8E1, 8E2, 8E3, 8E8, 8E9, 8EX, 8EE, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 919, 91X, 91E, 920, 921, 925, 926, 927, 92X, 930, 931, 932, 933, 934, 937, 938, 939, 93X, 93E, 940, 942, 945, 946, 947, 951, 952, 953, 954, 958, 959, 95X, 95E, 960, 964, 965, 966, 967, 968, 96E, 971, 972, 973, 976, 977, 979, 97X, 97E, 980, 981, 984, 985, 986, 987, 988, 990, 991, 992, 993, 994, 997, 998, 999, 99X, 99E, 9X3, 9X5, 9X6, 9X7, 9E0, 9E1, 9E2, 9E3, 9E4, 9E6, 9E8, 9E9, 9EX, 9EE, X03, X05, X06, X07, X09, X11, X12, X13, X18, X19, X1X, X1E, X20, X24, X25, X26, X27, X28, X30, X31, X32, X33, X36, X38, X39, X3X, X3E, X40, X44, X45, X46, X47, X48, X50, X51, X52, X53, X54, X59, X5X, X5E, X61, X65, X66, X67, X68, X70, X71, X72, X73, X74, X78, X79, X7X, X7E, X80, X85, X86, X87, X88, X91, X92, X93, X98, X99, X9X, X9E, XX0, XX1, XX4, XX5, XX6, XX7, XE1, XE2, XE3, XE8, XE9, XEX, XEE, E04, E05, E06, E07, E08, E0E, E10, E11, E12, E13, E19, E1X, E1E, E22, E25, E26, E27, E28, E30, E31, E32, E33, E34, E35, E38, E39, E3X, E3E, E40, E41, E43, E45, E46, E47, E48, E51, E52, E53, E54, E55, E57, E58, E59, E5X, E5E, E60, E63, E64, E65, E66, E67, E6X, E71, E72, E73, E79, E7X, E7E, E84, E85, E86, E87, E88, E90, E91, E92, E93, E99, E9X, E9E, EX0, EX1, EX5, EX6, EX7, EE0, EE1, EE2, EE3, EE4, EE8, EE9, EEX, EEE, ...

Advanced numbers Edit

Coefficients of modular function j as power series in q=e^(2\pi i t): 1, 520, 95E30, 7246628, 201551716, 3E10368000, 546E0X82248, 5880X2000000, 50129X8E61853, 3904375971E140, 258313492001830, 156E10001X400000, 95X677EEX7915E66, 488E812838X800000, 22427843365E6X0760, E5XE47035E37321594, 48X3447651589066X83, 1X340X21X5E601228000, 8402906133E7E6028260, 2EX5430625855X1600000, 1045X249XX800649155716, 414EE30055125E419EX994, 13XX77166113X7E43816000, 4E6X4E207X3607460800000, 1608X27E458070E533401310, 53E574669255164994000000, ...

Ramanujan numbers (or tau numbers): 1, −20, 190, −X28, 2966, −3600, −9834, 40X80, −55923, −57100, 219470, −15X800, −23X40X, 174680, 4X8460, 3E7314, −23905X6, XE6460, 36X1978, −246X540, −14E5X00, −4369200, 62E0E20, 7168000, ...

Base-dependent numbers Edit

Automorphic numbers: 0, 1, 4, 9, 54, 69, 369, 854, 3854, 8369, E3854, 1E3854, X08369, 5X08369, 61E3854, E61E3854, 1E61E3854, X05X08369, 21E61E3854, 9X05X08369, E21E61E3854, 2E21E61E3854, 909X05X08369, ...

Narcissistic numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 25, X5, 577, 668, X83, 14765, 938X4, 369862, X2394X, 2380293, 58955X3, EE7332295, 4X24189999, 79003E307X, 4903X15X995, 4X446561XX6, 64508202EX3, 6E32875792X, 72709868E8X, E5X6586E049, E79238X38E3, EX70909E036, EX7584X9XX8, 7E38E60846803, 4029826639111E, 724106687E585E, 7593E3703X8E346, 8315X3E9E7X7652, E463870402XEX8E, 11692939925215X3, 6963788443EE6X87, 71263199E4879E29E43, 26532105935901094X8E, 643896373E63132EE610, 643896373E63132EE611, 91E6EX37E5E2395907X6, 2069E9481507492377719, 2620293539X21867386XE, 2870507436X364X15XE62, 3096XE0892X8209162X8X, 45791X819296E12E27X53, 61035E7E65684375498EX, 645E3539X07EX360880E9, 83771E9E01673XE1XE964, 9E4X42EE88552E80E3368, E73E359723EEE64126E27, 20E446X429978188986395, 225531X5437666X776566E, 3586944EX747E920X39987X4, 260055453E83538E5744348884, 221E3351383X6924E54171565069, 337839406880E85328E93631X8EX, 2577803E895038330E35E32785306X7, 25894E2929727835994701EX53179E6, 267EX8248E5E0616952121220X194X5, 33X6EE19246614126E32X34595E2923, 34X5E53EX3154E85X9768295622EX03, 4E9657XE0E46098142080EEX9437XE0, 4E9657XE0E46098142080EEX9437XE1, 1EX997236136XE0EX788X574814X726560, 1EX997236136XE0EX788X574814X726561, 1253553715X86X851X882041088E9888E35, 173168409X26156653E51X965431E8769E04, 2X5532X6E02105X1921EE353E2X1E6E93E48X10, 2X5532X6E02105X1921EE353E2X1E6E93E48X11, 102434015825787E1510924967E6321002E774440, 102434015825787E1510924967E6321002E774441, 106338439XE23771X82X96E412428X02E64558375, 14419E3894089683E7146110X060E906868452E59, 1460X58E16EE34588139971E557047238X4X12478, 146122093E69EX63X35069652129E5E8X21271044, 2067909536257238618E4E86X65E63EE0X30510E0, 2067909536257238618E4E86X65E63EE0X30510E1, 200E4X6E67E3430064319747100E70E0050XE8X140E, 11775E71382E98173E4314294891E94E6E6265980E59480EX67, 15079346X6E3E14EE56E395898E96629X8E01515344E4E0714E (there are 73 such numbers, the largest of which is 43-digit 15079346X6E3E14EE56E395898E96629X8E01515344E4E0714E)

Factorions: 0, 1 (no others)

Palindromic numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 11, 22, 33, 44, 55, 66, 77, 88, 99, XX, EE, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 1X1, 1E1, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 2X2, 2E2, 303, 313, 323, 333, 343, 353, 363, 373, 383, 393, 3X3, 3E3, 404, 414, 424, 434, 444, 454, 464, 474, 484, 494, 4X4, 4E4, 505, 515, 525, 535, 545, 555, 565, 575, 585, 595, 5X5, 5E5, 606, 616, 626, 636, 646, 656, 666, 676, 686, 696, 6X6, 6E6, 707, 717, 727, 737, 747, 757, 767, 777, 787, 797, 7X7, 7E7, 808, 818, 828, 838, 848, 858, 868, 878, 888, 898, 8X8, 8E8, 909, 919, 929, 939, 949, 959, 969, 979, 989, 999, 9X9, 9E9, X0X, X1X, X2X, X3X, X4X, X5X, X6X, X7X, X8X, X9X, XXX, XEX, E0E, E1E, E2E, E3E, E4E, E5E, E6E, E7E, E8E, E9E, EXE, EEE, ...

Strictly non-palindromic numbers: 1, 2, 3, 4, 6, E, 17, 3E, 45, 67, 87, E5, E7, 105, 117, 11E, 12E, 167, 19E, 1X5, 1E7, 205, 21E, 225, 24E, 25E, 267, 285, 307, 34E, 3XE, 3E5, 415, 427, 46E, 517, 58E, 5E1, 611, 695, 69E, 6E1, 70E, 735, 745, 82E, 851, 871, 95E, 9E5, 9EE, X07, X17, X5E, X95, XE7, E71, EX5, ...

Harshad numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 1X, 20, 29, 30, 38, 40, 47, 50, 56, 60, 65, 70, 74, 80, 83, 90, 92, X0, X1, E0, 100, 10X, 110, 115, 119, 120, 122, 128, 130, 134, 137, 146, 150, 153, 155, 164, 172, 173, 182, 191, 1X0, 1E0, 1EX, 200, 209, 20E, 210, 216, 218, 220, 223, 227, 22X, 236, 240, 244, 245, 249, 254, 260, 263, 268, 272, 281, 287, 290, 2X0, 2X6, 2XX, 300, 308, 30X, 310, 311, 314, 316, 317, 326, 330, 331, 335, 338, 344, 353, 360, 362, 366, 371, 380, 390, 394, 39X, 3E8, 3EE, 400, 407, 409, 416, 420, 423, 425, 434, 440, 443, 446, 452, 45X, 461, 470, 480, 483, 488, 48X, 4X8, 4E6, 500, 506, 508, 510, 515, 524, 533, 539, 542, 550, 551, 554, 560, 570, 576, 57X, 598, 5X0, 5XX, 5E3, 5E6, 600, 605, 607, 614, 620, 622, 623, 628, 630, 632, 641, 650, 660, 662, 669, 66X, 674, 688, 6X6, 700, 704, 706, 713, 722, 731, 740, 748, 750, 754, 75X, 770, 778, 794, 796, 799, 7E4, 800, 803, 805, 812, 816, 821, 830, 840, 846, 84X, 868, 880, 886, 8X1, 8X4, 8E4, 900, 902, 904, 911, 920, 926, 930, 933, 938, 93X, 958, 976, 988, 990, 993, 994, 9E2, X00, X01, X03, X10, X20, X2X, X36, X48, X50, X61, X66, X84, X85, XX0, XX2, XX8, E00, E02, E10, E14, E16, E1X, E38, E46, E56, E74, E77, E92, EE0, 1000, ...

All-harshad numbers: 1, 2, 4, 6 (no others)

Happy numbers: 1, 10, 100, 222, 488, 848, 884, 1000, 1113, 1131, 1311, 2022, 2202, 2220, 226X, 22X6, 262X, 26X2, 2X26, 2X62, 3111, 4088, 4808, 4880, 622X, 62X2, 6666, 66EE, 6X22, 6E6E, 6EE6, 8048, 8084, 8408, 8480, 8804, 8840, X226, X262, X622, E66E, E6E6, EE66, 10000, 10113, 10131, 10311, 11013, 11031, 11103, 11130, 11301, 11310, 11569, 11596, 11659, 11695, 11956, 11965, 1233E, 12379, 12397, 123E3, 12739, 12793, 12937, 12973, 12E33, 13011, 13101, 13110, 1323E, 13279, 13297, 132E3, 1332E, 1335X, 133X5, 133E2, 1353X, 135X3, 13677, 13729, 13767, 13776, 13792, 13927, 13972, 13X35, 13X53, 13E23, 13E32, 15169, 15196, 1533X, 153X3, 15619, 15691, 15916, 15961, 15X33, 16159, 16195, 16377, 16519, 16591, 16737, 16773, 16915, 16951, 17239, 17293, 17329, 17367, 17376, 17392, 17637, 17673, 17736, 17763, 178XX, 17923, 17932, 17X8X, 17XX8, 187XX, 1888E, 188E8, 18X7X, 18XX7, 18E88, 19156, 19165, 19237, 19273, 19327, 19372, 19516, 19561, 19615, 19651, 19723, 19732, 1X335, 1X353, 1X533, 1X78X, 1X7X8, 1X87X, 1X8X7, 1XX78, 1XX87, 1E233, 1E323, 1E332, 1E888, 20022, 20202, 20220, 2026X, 202X6, 2062X, 206X2, 20X26, 20X62, 2133E, 21379, 21397, 213E3, 21739, 21793, 21937, 21973, 21E33, 22002, 22020, 2206X, 220X6, 22200, 2260X, 22668, 22686, 226X0, 22866, 228EE, 22X06, 22X60, 22E8E, 22EE8, 2313E, 23179, 23197, 231E3, 2331E, 233E1, 23559, 23595, 23719, 23791, 23917, 23955, 23971, 23E13, 23E31, 25359, 25395, 25539, 25593, 258XE, 258EX, 25935, 25953, 25X8E, 25XE8, 25E8X, 25EX8, 2602X, 260X2, 2620X, 26268, 26286, 262X0, 26628, 26682, 26826, 26862, 26X02, 26X20, 27139, 27193, 27319, 27391, 27913, 27931, 28266, 282EE, 285XE, 285EX, 28626, 28662, 28X5E, 28XE5, 28E2E, 28E5X, 28EX5, 28EE2, 29137, 29173, 29317, 29355, 29371, 29535, 29553, 29713, 29731, 2X026, 2X062, 2X206, 2X260, 2X58E, 2X5E8, 2X602, 2X620, 2X85E, 2X8E5, 2XE58, 2XE85, 2E133, 2E28E, 2E2E8, 2E313, 2E331, 2E58X, 2E5X8, 2E82E, 2E85X, 2E8X5, 2E8E2, 2EX58, 2EX85, 2EE28, 2EE82, 30111, 31011, 31101, 31110, 3123E, 31279, 31297, 312E3, 3132E, 3135X, 313X5, 313E2, 3153X, 315X3, 31677, 31729, 31767, 31776, 31792, 31927, 31972, 31X35, 31X53, 31E23, 31E32, 3213E, 32179, 32197, 321E3, 3231E, 323E1, 32559, 32595, 32719, 32791, 32917, 32955, 32971, 32E13, 32E31, 3312E, 3315X, 331X5, 331E2, 3321E, 332E1, 33369, 33396, 3351X, 335X1, 33639, 33693, 33936, 33963, 33X15, 33X51, 33E12, 33E21, 3513X, 351X3, 35259, 35295, 3531X, 353X1, 35529, 35567, 35576, 35592, 35657, 35675, 35756, 35765, 35925, 35952, 35X13, 35X31, 36177, 36339, 36393, 36557, 36575, 36717, 36755, 36771, 36933, 37129, 37167, 37176, 37192, 37219, 37291, 37556, 37565, 37617, 37655, 37671, 37716, 37761, 37912, 37921, 39127, 39172, 39217, 39255, 39271, 39336, 39363, 39525, 39552, 39633, 39712, 39721, 3X135, 3X153, 3X315, 3X351, 3X513, 3X531, 3E123, 3E132, 3E213, 3E231, 3E312, 3E321, 40088, 40808, 40880, 4699X, 469X9, 46X99, 477XX, 4788E, 478E8, 47X7X, 47XX7, 47E88, 48008, 48080, 4878E, 487E8, 48800, 4887E, 488E7, 48E78, 48E87, 4969X, 496X9, 4996X, 499X6, 49X69, 49X96, 4X699, 4X77X, 4X7X7, 4X969, 4X996, 4XX77, 4E788, 4E878, 4E887, 51169, 51196, 5133X, 513X3, 51619, 51691, 51916, 51961, 51X33, 52359, 52395, 52539, 52593, 528XE, 528EX, 52935, 52953, 52X8E, 52XE8, 52E8X, 52EX8, 5313X, 531X3, 53259, 53295, 5331X, 533X1, 53529, 53567, 53576, 53592, 53657, 53675, 53756, 53765, 53925, 53952, 53X13, 53X31, 55239, 55293, 55329, 55367, 55376, 55392, 55637, 55673, 55736, 55763, 558XX, 55923, 55932, 55X8X, 55XX8, 56119, 56191, 56357, 56375, 56537, 56573, 56735, 56753, 56911, 57356, 57365, 57536, 57563, 57635, 57653, 582XE, 582EX, 585XX, 58X2E, 58X5X, 58XX5, 58XE2, 58E2X, 58EX2, 59116, 59161, 59235, 59253, 59325, 59352, 59523, 59532, 59611, 5X133, 5X28E, 5X2E8, 5X313, 5X331, 5X58X, 5X5X8, 5X82E, 5X85X, 5X8X5, 5X8E2, 5XX58, 5XX85, 5XE28, 5XE82, 5E28X, 5E2X8, 5E82X, 5E8X2, 5EX28, 5EX82, ...

Happy primes: 11031, 1233E, 13011, 1332E, 16377, 17367, 17637, 22E8E, 2331E, 233E1, 23955, 25935, 25X8E, 28X5E, 28XE5, 2X8E5, 2E82E, 2E8X5, 31011, 31101, 3123E, 3132E, 31677, 33E21, 35295, 35567, 35765, 35925, 36557, 37167, 37671, 39525, 4878E, 4X7X7, 53567, 55367, 55637, 56357, 57635, 58XX5, 5X82E, 5XX85, 606EE, 63575, 63771, 66E0E, 67317, 67371, 67535, 6E60E, 71367, 71637, 73167, 76137, 7XX47, 82XE5, 82EX5, 8487E, 848E7, 84E87, 8874E, 8X1X7, 8X25E, 8X2E5, 8X5X5, 8XX17, 8XX71, 8E2X5, 8E847, 92355, 93255, 93525, 95235, X1X87, X258E, X285E, X2E85, X85X5, X8X17, XX477, XX585, E228E, E606E, E822E, EX825, ...

Self numbers: 1, 3, 5, 7, 9, E, 20, 31, 42, 53, 64, 75, 86, 97, X8, E9, 10X, 110, 121, 132, 143, 154, 165, 176, 187, 198, 1X9, 1EX, 20E, 211, 222, 233, 244, 255, 266, 277, 288, 299, 2XX, 2EE, 310, 312, 323, 334, 345, 356, 367, 378, 389, 39X, 3XE, 400, 411, 413, 424, 435, 446, 457, 468, 479, 48X, 49E, 4E0, 501, 512, 514, 525, 536, 547, 558, 569, 57X, 58E, 5X0, 5E1, 602, 613, 615, 626, 637, 648, 659, 66X, 67E, 690, 6X1, 6E2, 703, 714, 716, 727, 738, 749, 75X, 76E, 780, 791, 7X2, 7E3, 804, 815, 817, 828, 839, 84X, 85E, 870, 881, 892, 8X3, 8E4, 905, 916, 918, 929, 93X, 94E, 960, 971, 982, 993, 9X4, 9E5, X06, X17, X19, X2X, X3E, X50, X61, X72, X83, X94, XX5, XE6, E07, E18, E1X, E2E, E40, E51, E62, E73, E84, E95, EX6, EE7, 1008, 1021, 1032, 1043, 1054, 1065, 1076, 1087, 1098, 10X9, 10EX, 110E, 1111, 1122, 1133, 1144, 1155, 1166, 1177, 1188, 1199, 11XX, 11EE, 1210, 1212, 1223, 1234, 1245, 1256, 1267, 1278, 1289, 129X, 12XE, 1300, 1311, 1313, 1324, 1335, 1346, 1357, 1368, 1379, 138X, 139E, 13E0, 1401, 1412, 1414, 1425, 1436, 1447, 1458, 1469, 147X, 148E, 14X0, 14E1, 1502, 1513, 1515, 1526, 1537, 1548, 1559, 156X, 157E, 1590, 15X1, 15E2, 1603, 1614, 1616, 1627, 1638, 1649, 165X, 166E, 1680, 1691, 16X2, 16E3, 1704, 1715, 1717, 1728, 1739, 174X, 175E, 1770, 1781, 1792, 17X3, 17E4, 1805, 1816, 1818, 1829, 183X, 184E, 1860, 1871, 1882, 1893, 18X4, 18E5, 1906, 1917, 1919, 192X, 193E, 1950, 1961, 1972, 1983, 1994, 19X5, 19E6, 1X07, 1X18, 1X1X, 1X2E, 1X40, 1X51, 1X62, 1X73, 1X84, 1X95, 1XX6, 1XE7, 1E08, 1E19, 1E1E, 1E30, 1E41, 1E52, 1E63, 1E74, 1E85, 1E96, 1EX7, 1EE8, 2009, 2022, 2033, 2044, 2055, 2066, 2077, 2088, 2099, 20XX, 20EE, 2110, 2112, 2123, 2134, 2145, 2156, 2167, 2178, 2189, 219X, 21XE, 2200, 2211, 2213, 2224, 2235, 2246, 2257, 2268, 2279, 228X, 229E, 22E0, 2301, 2312, 2314, 2325, 2336, 2347, 2358, 2369, 237X, 238E, 23X0, 23E1, 2402, 2413, 2415, 2426, 2437, 2448, 2459, 246X, 247E, 2490, 24X1, 24E2, 2503, 2514, 2516, 2527, 2538, 2549, 255X, 256E, 2580, 2591, 25X2, 25E3, 2604, 2615, 2617, 2628, 2639, 264X, 265E, 2670, 2681, 2692, 26X3, 26E4, 2705, 2716, 2718, 2729, 273X, 274E, 2760, 2771, 2782, 2793, 27X4, 27E5, 2806, 2817, 2819, 282X, 283E, 2850, 2861, 2872, 2883, 2894, 28X5, 28E6, 2907, 2918, 291X, 292E, 2940, 2951, 2962, 2973, 2984, 2995, 29X6, 29E7, 2X08, 2X19, 2X1E, 2X30, 2X41, 2X52, 2X63, 2X74, 2X85, 2X96, 2XX7, 2XE8, 2E09, 2E1X, 2E20, 2E31, 2E42, 2E53, 2E64, 2E75, 2E86, 2E97, 2EX8, 2EE9, 300X, 3023, 3034, 3045, 3056, 3067, 3078, 3089, 309X, 30XE, 3100, 3111, 3113, 3124, 3135, 3146, 3157, 3168, 3179, 318X, 319E, 31E0, 3201, 3212, 3214, 3225, 3236, 3247, 3258, 3269, 327X, 328E, 32X0, 32E1, 3302, 3313, 3315, 3326, 3337, 3348, 3359, 336X, 337E, 3390, 33X1, 33E2, 3403, 3414, 3416, 3427, 3438, 3449, 345X, 346E, 3480, 3491, 34X2, 34E3, 3504, 3515, 3517, 3528, 3539, 354X, 355E, 3570, 3581, 3592, 35X3, 35E4, 3605, 3616, 3618, 3629, 363X, 364E, 3660, 3671, 3682, 3693, 36X4, 36E5, 3706, 3717, 3719, 372X, 373E, 3750, 3761, 3772, 3783, 3794, 37X5, 37E6, 3807, 3818, 381X, 382E, 3840, 3851, 3862, 3873, 3884, 3895, 38X6, 38E7, 3908, 3919, 391E, 3930, 3941, 3952, 3963, 3974, 3985, 3996, 39X7, 39E8, 3X09, 3X1X, 3X20, 3X31, 3X42, 3X53, 3X64, 3X75, 3X86, 3X97, 3XX8, 3XE9, 3E0X, 3E1E, 3E21, 3E32, 3E43, 3E54, 3E65, 3E76, 3E87, 3E98, 3EX9, 3EEX, 400E, 4024, 4035, 4046, 4057, 4068, 4079, 408X, 409E, 40E0, 4101, 4112, 4114, 4125, 4136, 4147, 4158, 4169, 417X, 418E, 41X0, 41E1, 4202, 4213, 4215, 4226, 4237, 4248, 4259, 426X, 427E, 4290, 42X1, 42E2, 4303, 4314, 4316, 4327, 4338, 4349, 435X, 436E, 4380, 4391, 43X2, 43E3, 4404, 4415, 4417, 4428, 4439, 444X, 445E, 4470, 4481, 4492, 44X3, 44E4, 4505, 4516, 4518, 4529, 453X, 454E, 4560, 4571, 4582, 4593, 45X4, 45E5, 4606, 4617, 4619, 462X, 463E, 4650, 4661, 4672, 4683, 4694, 46X5, 46E6, 4707, 4718, 471X, 472E, 4740, 4751, 4762, 4773, 4784, 4795, 47X6, 47E7, 4808, 4819, 481E, 4830, 4841, 4852, 4863, 4874, 4885, 4896, 48X7, 48E8, 4909, 491X, 4920, 4931, 4942, 4953, 4964, 4975, 4986, 4997, 49X8, 49E9, 4X0X, 4X1E, 4X21, 4X32, 4X43, 4X54, 4X65, 4X76, 4X87, 4X98, 4XX9, 4XEX, 4E0E, 4E20, 4E22, 4E33, 4E44, 4E55, 4E66, 4E77, 4E88, 4E99, 4EXX, 4EEE, 5010, 5025, 5036, 5047, 5058, 5069, 507X, 508E, 50X0, 50E1, 5102, 5113, 5115, 5126, 5137, 5148, 5159, 516X, 517E, 5190, 51X1, 51E2, 5203, 5214, 5216, 5227, 5238, 5249, 525X, 526E, 5280, 5291, 52X2, 52E3, 5304, 5315, 5317, 5328, 5339, 534X, 535E, 5370, 5381, 5392, 53X3, 53E4, 5405, 5416, 5418, 5429, 543X, 544E, 5460, 5471, 5482, 5493, 54X4, 54E5, 5506, 5517, 5519, 552X, 553E, 5550, 5561, 5572, 5583, 5594, 55X5, 55E6, 5607, 5618, 561X, 562E, 5640, 5651, 5662, 5673, 5684, 5695, 56X6, 56E7, 5708, 5719, 571E, 5730, 5741, 5752, 5763, 5774, 5785, 5796, 57X7, 57E8, 5809, 581X, 5820, 5831, 5842, 5853, 5864, 5875, 5886, 5897, 58X8, 58E9, 590X, 591E, 5921, 5932, 5943, 5954, 5965, 5976, 5987, 5998, 59X9, 59EX, 5X0E, 5X20, 5X22, 5X33, 5X44, 5X55, 5X66, 5X77, 5X88, 5X99, 5XXX, 5XEE, 5E10, 5E21, 5E23, 5E34, 5E45, 5E56, 5E67, 5E78, 5E89, 5E9X, 5EXE, 6000, 6011, 6026, 6037, 6048, 6059, 606X, 607E, 6090, 60X1, 60E2, 6103, 6114, 6116, 6127, 6138, 6149, 615X, 616E, 6180, 6191, 61X2, 61E3, 6204, 6215, 6217, 6228, 6239, 624X, 625E, 6270, 6281, 6292, 62X3, 62E4, 6305, 6316, 6318, 6329, 633X, 634E, 6360, 6371, 6382, 6393, 63X4, 63E5, 6406, 6417, 6419, 642X, 643E, 6450, 6461, 6472, 6483, 6494, 64X5, 64E6, 6507, 6518, 651X, 652E, 6540, 6551, 6562, 6573, 6584, 6595, 65X6, 65E7, 6608, 6619, 661E, 6630, 6641, 6652, 6663, 6674, 6685, 6696, 66X7, 66E8, 6709, 671X, 6720, 6731, 6742, 6753, 6764, 6775, 6786, 6797, 67X8, 67E9, 680X, 681E, 6821, 6832, 6843, 6854, 6865, 6876, 6887, 6898, 68X9, 68EX, 690E, 6920, 6922, 6933, 6944, 6955, 6966, 6977, 6988, 6999, 69XX, 69EE, 6X10, 6X21, 6X23, 6X34, 6X45, 6X56, 6X67, 6X78, 6X89, 6X9X, 6XXE, 6E00, 6E11, 6E22, 6E24, 6E35, 6E46, 6E57, 6E68, 6E79, 6E8X, 6E9E, 6EE0, 7001, 7012, 7027, 7038, 7049, 705X, 706E, 7080, 7091, 70X2, 70E3, 7104, 7115, 7117, 7128, 7139, 714X, 715E, 7170, 7181, 7192, 71X3, 71E4, 7205, 7216, 7218, 7229, 723X, 724E, 7260, 7271, 7282, 7293, 72X4, 72E5, 7306, 7317, 7319, 732X, 733E, 7350, 7361, 7372, 7383, 7394, 73X5, 73E6, 7407, 7418, 741X, 742E, 7440, 7451, 7462, 7473, 7484, 7495, 74X6, 74E7, 7508, 7519, 751E, 7530, 7541, 7552, 7563, 7574, 7585, 7596, 75X7, 75E8, 7609, 761X, 7620, 7631, 7642, 7653, 7664, 7675, 7686, 7697, 76X8, 76E9, 770X, 771E, 7721, 7732, 7743, 7754, 7765, 7776, 7787, 7798, 77X9, 77EX, 780E, 7820, 7822, 7833, 7844, 7855, 7866, 7877, 7888, 7899, 78XX, 78EE, 7910, 7921, 7923, 7934, 7945, 7956, 7967, 7978, 7989, 799X, 79XE, 7X00, 7X11, 7X22, 7X24, 7X35, 7X46, 7X57, 7X68, 7X79, 7X8X, 7X9E, 7XE0, 7E01, 7E12, 7E23, 7E25, 7E36, 7E47, 7E58, 7E69, 7E7X, 7E8E, 7EX0, 7EE1, 8002, 8013, 8028, 8039, 804X, 805E, 8070, 8081, 8092, 80X3, 80E4, 8105, 8116, 8118, 8129, 813X, 814E, 8160, 8171, 8182, 8193, 81X4, 81E5, 8206, 8217, 8219, 822X, 823E, 8250, 8261, 8272, 8283, 8294, 82X5, 82E6, 8307, 8318, 831X, 832E, 8340, 8351, 8362, 8373, 8384, 8395, 83X6, 83E7, 8408, 8419, 841E, 8430, 8441, 8452, 8463, 8474, 8485, 8496, 84X7, 84E8, 8509, 851X, 8520, 8531, 8542, 8553, 8564, 8575, 8586, 8597, 85X8, 85E9, 860X, 861E, 8621, 8632, 8643, 8654, 8665, 8676, 8687, 8698, 86X9, 86EX, 870E, 8720, 8722, 8733, 8744, 8755, 8766, 8777, 8788, 8799, 87XX, 87EE, 8810, 8821, 8823, 8834, 8845, 8856, 8867, 8878, 8889, 889X, 88XE, 8900, 8911, 8922, 8924, 8935, 8946, 8957, 8968, 8979, 898X, 899E, 89E0, 8X01, 8X12, 8X23, 8X25, 8X36, 8X47, 8X58, 8X69, 8X7X, 8X8E, 8XX0, 8XE1, 8E02, 8E13, 8E24, 8E26, 8E37, 8E48, 8E59, 8E6X, 8E7E, 8E90, 8EX1, 8EE2, 9003, 9014, 9029, 903X, 904E, 9060, 9071, 9082, 9093, 90X4, 90E5, 9106, 9117, 9119, 912X, 913E, 9150, 9161, 9172, 9183, 9194, 91X5, 91E6, 9207, 9218, 921X, 922E, 9240, 9251, 9262, 9273, 9284, 9295, 92X6, 92E7, 9308, 9319, 931E, 9330, 9341, 9352, 9363, 9374, 9385, 9396, 93X7, 93E8, 9409, 941X, 9420, 9431, 9442, 9453, 9464, 9475, 9486, 9497, 94X8, 94E9, 950X, 951E, 9521, 9532, 9543, 9554, 9565, 9576, 9587, 9598, 95X9, 95EX, 960E, 9620, 9622, 9633, 9644, 9655, 9666, 9677, 9688, 9699, 96XX, 96EE, 9710, 9721, 9723, 9734, 9745, 9756, 9767, 9778, 9789, 979X, 97XE, 9800, 9811, 9822, 9824, 9835, 9846, 9857, 9868, 9879, 988X, 989E, 98E0, 9901, 9912, 9923, 9925, 9936, 9947, 9958, 9969, 997X, 998E, 99X0, 99E1, 9X02, 9X13, 9X24, 9X26, 9X37, 9X48, 9X59, 9X6X, 9X7E, 9X90, 9XX1, 9XE2, 9E03, 9E14, 9E25, 9E27, 9E38, 9E49, 9E5X, 9E6E, 9E80, 9E91, 9EX2, 9EE3, X004, X015, X02X, X03E, X050, X061, X072, X083, X094, X0X5, X0E6, X107, X118, X11X, X12E, X140, X151, X162, X173, X184, X195, X1X6, X1E7, X208, X219, X21E, X230, X241, X252, X263, X274, X285, X296, X2X7, X2E8, X309, X31X, X320, X331, X342, X353, X364, X375, X386, X397, X3X8, X3E9, X40X, X41E, X421, X432, X443, X454, X465, X476, X487, X498, X4X9, X4EX, X50E, X520, X522, X533, X544, X555, X566, X577, X588, X599, X5XX, X5EE, X610, X621, X623, X634, X645, X656, X667, X678, X689, X69X, X6XE, X700, X711, X722, X724, X735, X746, X757, X768, X779, X78X, X79E, X7E0, X801, X812, X823, X825, X836, X847, X858, X869, X87X, X88E, X8X0, X8E1, X902, X913, X924, X926, X937, X948, X959, X96X, X97E, X990, X9X1, X9E2, XX03, XX14, XX25, XX27, XX38, XX49, XX5X, XX6E, XX80, XX91, XXX2, XXE3, XE04, XE15, XE26, XE28, XE39, XE4X, XE5E, XE70, XE81, XE92, XEX3, XEE4, E005, E016, E02E, E040, E051, E062, E073, E084, E095, E0X6, E0E7, E108, E119, E11E, E130, E141, E152, E163, E174, E185, E196, E1X7, E1E8, E209, E21X, E220, E231, E242, E253, E264, E275, E286, E297, E2X8, E2E9, E30X, E31E, E321, E332, E343, E354, E365, E376, E387, E398, E3X9, E3EX, E40E, E420, E422, E433, E444, E455, E466, E477, E488, E499, E4XX, E4EE, E510, E521, E523, E534, E545, E556, E567, E578, E589, E59X, E5XE, E600, E611, E622, E624, E635, E646, E657, E668, E679, E68X, E69E, E6E0, E701, E712, E723, E725, E736, E747, E758, E769, E77X, E78E, E7X0, E7E1, E802, E813, E824, E826, E837, E848, E859, E86X, E87E, E890, E8X1, E8E2, E903, E914, E925, E927, E938, E949, E95X, E96E, E980, E991, E9X2, E9E3, EX04, EX15, EX26, EX28, EX39, EX4X, EX5E, EX70, EX81, EX92, EXX3, EXE4, EE05, EE16, EE27, EE29, EE3X, EE4E, EE60, EE71, EE82, EE93, EEX4, EEE5, ...

Keith numbers: 11, 15, 1E, 22, 2X, 31, 33, 44, 49, 55, 62, 66, 77, 88, 93, 99, XX, EE, 125, 215, 24X, 405, 42X, 654, 80X, 8X3, X59, 1022, 1662, 2044, 3066, 4088, 4X1X, 4XE1, 50XX, 8538, E18E, 17256, 18671, 24X78, 4718E, 517EX, 157617, 1X265X, 5X4074, 5XE140, 6E1449, 6E8515, ...

Kaprekar numbers: 1, E, 56, 66, EE, 444, 778, EEE, 12XX, 1640, 2046, 2929, 3333, 4973, 5E60, 6060, 7249, 8889, 9293, 9E76, X580, X912, EEEE, 22223, 99999, EEEEE, 12E649, 16EX51, 1X1X1X, 222222, 22X54X, 26X952, 35186E, 39X39X, 404040, 4197X2, 450770, 5801E8, 5EE600, 600600, 63EX04, 76E450, 7X241X, 7E7E80, 821822, 86X351, 95126X, 991672, 99999X, X1X1X2, X5016E, X90573, E4982X, E73490, EEEEEE, ...

(Possible) Lychrel numbers: 179, 1E9, 278, 2E8, 377, 3E7, 476, 4E6, 575, 5E5, 674, 6E4, 773, 7E3, 872, 8E2, 971, 9E1, X2E, X3E, X5E, X70, XXE, XE0, E2X, E3X, E5X, EXX, 13E9, 14X9, 1599, 15E9, 1689, 16X9, 1779, 1799, 1869, 1889, 18E9, 1959, 1979, 19X9, 19E9, 1X49, 1X69, 1X99, 1XX9, 1E39, 1E59, 1E89, 1E99, 1EE9, 23E8, 24X8, 2598, 25E8, 2688, 26X8, 2778, 2798, 2868, 2888, 28E8, 2958, 2978, 29X8, 29E8, 2X48, 2X68, 2X98, 2XX8, 2E38, 2E58, 2E88, 2E98, 2EE8, 2EEE, 33E7, 34X7, 3597, 35E7, 3687, 36X7, 3777, 3797, 3867, 3887, 38E7, 3957, 3977, 39X7, 39E7, 3X47, 3X67, 3X97, 3XX7, 3E37, 3E57, 3E87, 3E97, 3EE7, 3EEX, 43E6, 44X6, 4596, 45E6, 4686, 46X6, 4776, 4796, 4866, 4886, 48E6, 4956, 4976, 49X6, 49E6, 4X46, 4X66, 4X96, 4XX6, 4E36, 4E56, 4E86, 4E96, 4EE6, 4EE9, 53E5, 54X5, 5595, 55E5, 5685, 56X5, 5775, 5795, 5865, 5885, 58E5, 5955, 5975, 59X5, 59E5, 5X45, 5X65, 5X95, 5XX5, 5E35, 5E55, 5E85, 5E95, 5EE5, 5EE8, 63E4, 64X4, 6594, 65E4, 6684, 66X4, 6774, 6794, 6864, 6884, 68E4, 6954, 6974, 69X4, 69E4, 6X44, 6X64, 6X94, 6XX4, 6E34, 6E54, 6E84, 6E94, 6EE4, 6EE7, 73E3, 74X3, 7593, 75E3, 7683, 76X3, 7773, 7793, 7863, 7883, 78E3, 7953, 7973, 79X3, 79E3, 7X43, 7X63, 7X93, 7XX3, 7E33, 7E53, 7E83, 7E93, 7EE3, 7EE6, 83E2, 84X2, 8592, 85E2, 8682, 86X2, 8772, 8792, 8862, 8882, 88E2, 8952, 8972, 89X2, 89E2, 8X42, 8X62, 8X92, 8XX2, 8E32, 8E52, 8E82, 8E92, 8EE2, 8EE5, 93E1, 94X1, 9591, 95E1, 9681, 96X1, 9771, 9791, 9861, 9881, 98E1, 9951, 9971, 99X1, 99E1, 9X41, 9X61, 9X91, 9XX1, 9E31, 9E51, 9E81, 9E91, 9EE1, 9EE4, X04E, X05E, X06E, X09E, X0XE, X13E, X14E, X15E, X18E, X19E, X22E, X23E, X24E, X27E, X28E, X31E, X32E, X33E, X36E, X37E, X3E0, X40E, X41E, X42E, X45E, X46E, X4X0, X4EE, X50E, X51E, X54E, X55E, X590, X5XE, X5E0, X5EE, X60E, X63E, X64E, X680, X69E, X6X0, X6XE, X6EE, X72E, X73E, X770, X78E, X790, X79E, X7XE, X81E, X82E, X860, X87E, X880, X88E, X89E, X8E0, X90E, X91E, X950, X96E, X970, X97E, X98E, X9X0, X9E0, X9EE, XX0E, XX40, XX5E, XX60, XX6E, XX7E, XX90, XXX0, XXXE, XXEE, XE30, XE4E, XE50, XE5E, XE6E, XE80, XE90, XE9E, XEXE, XEE0, XEE3, E04X, E05X, E06X, E07E, E09X, E0XX, E0XE, E13X, E14X, E15X, E16E, E18X, E19X, E19E, E22X, E23X, E24X, E25E, E27X, E28X, E28E, E31X, E32X, E33X, E34E, E36X, E37X, E37E, E40X, E41X, E42X, E43E, E45X, E46X, E46E, E4EX, E50X, E51X, E52E, E54X, E55X, E55E, E5XX, E5EX, E60X, E61E, E63X, E64X, E64E, E69X, E6XX, E6EX, E70E, E72X, E73X, E73E, E78X, E79X, E7XX, E7EE, E81X, E82X, E82E, E87X, E88X, E89X, E8XE, E90X, E91X, E91E, E96X, E97X, E98X, E99E, E9EX, EX0X, EX0E, EX5X, EX6X, EX7X, EX8E, EXXX, EXEX, EXEE, EE4X, EE5X, EE6X, EE7E, EE9X, EEXX, EEXE, EEE2, EEEE, ...

Polydivisible numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 12, 14, 16, 18, 1X, 20, 22, 24, 26, 28, 2X, 30, 32, 34, 36, 38, 3X, 40, 42, 44, 46, 48, 4X, 50, 52, 54, 56, 58, 5X, 60, 62, 64, 66, 68, 6X, 70, 72, 74, 76, 78, 7X, 80, 82, 84, 86, 88, 8X, 90, 92, 94, 96, 98, 9X, X0, X2, X4, X6, X8, XX, E0, E2, E4, E6, E8, EX, 100, 103, 106, 109, 120, 123, 126, 129, 140, 143, 146, 149, 160, 163, 166, 169, 180, 183, 186, 189, 1X0, 1X3, 1X6, 1X9, 200, 203, 206, 209, 220, 223, 226, 229, 240, 243, 246, 249, 260, 263, 266, 269, 280, 283, 286, 289, 2X0, 2X3, 2X6, 2X9, 300, 303, 306, 309, 320, 323, 326, 329, 340, 343, 346, 349, 360, 363, 366, 369, 380, 383, 386, 389, 3X0, 3X3, 3X6, 3X9, 400, 403, 406, 409, 420, 423, 426, 429, 440, 443, 446, 449, 460, 463, 466, 469, 480, 483, 486, 489, 4X0, 4X3, 4X6, 4X9, 500, 503, 506, 509, 520, 523, 526, 529, 540, 543, 546, 549, 560, 563, 566, 569, 580, 583, 586, 589, 5X0, 5X3, 5X6, 5X9, 600, 603, 606, 609, 620, 623, 626, 629, 640, 643, 646, 649, 660, 663, 666, 669, 680, 683, 686, 689, 6X0, 6X3, 6X6, 6X9, 700, 703, 706, 709, 720, 723, 726, 729, 740, 743, 746, 749, 760, 763, 766, 769, 780, 783, 786, 789, 7X0, 7X3, 7X6, 7X9, 800, 803, 806, 809, 820, 823, 826, 829, 840, 843, 846, 849, 860, 863, 866, 869, 880, 883, 886, 889, 8X0, 8X3, 8X6, 8X9, 900, 903, 906, 909, 920, 923, 926, 929, 940, 943, 946, 949, 960, 963, 966, 969, 980, 983, 986, 989, 9X0, 9X3, 9X6, 9X9, X00, X03, X06, X09, X20, X23, X26, X29, X40, X43, X46, X49, X60, X63, X66, X69, X80, X83, X86, X89, XX0, XX3, XX6, XX9, E00, E03, E06, E09, E20, E23, E26, E29, E40, E43, E46, E49, E60, E63, E66, E69, E80, E83, E86, E89, EX0, EX3, EX6, EX9, 1000, ..., 606890346850EX6800E036206464 (there are 71823 such numbers)

Primeval numbers: 1, 2, 13, 15, 57, 115, 117, 125, 135, 157, 1017, 1057, 1157, 1257, 125E, 157E, 167E, 10157, 1015E, 10257, 1025E, 10457, 10578, 1057E, 12357, 1257E, 1457E, 1567E, 100257, 100578, 10057E, 10125E, 10135E, 101567, 10157E, 102357, 102457, 10247E, 10256E, 10257E, 10357E, 10457E, 10567E, ...

Frugal (or economical) numbers: 183, 194, 247, 368, 441, 509, 714, 92E, 1054, 10X1, 1103, 1228, 1323, 1331, 1341, 1481, 1594, 165X, 1669, 1761, 1768, 1940, 1985, 2021, 20X8, 2139, 21X1, 2225, 2389, 2454, 2646, 2647, 2721, 2942, 2X15, 2E01, 2E53, 2E68, 3101, 3314, 3680, 3741, 374X, 3969, 3X27, 3E77, 3E8E, 3EX1, 4194, 4203, 4701, 4783, 48X8, 5485, 5513, 5541, 5XX1, 5E14, 6181, 63E3, 6628, 6761, 6X61, 6E45, 705E, 7481, 7716, 8368, 8581, 8X39, 9061, 9401, 9594, 9887, 9E21, XX41, E221, E483, 10000, ...

Equidigital numbers: 1, 2, 3, 5, 7, E, 11, 12, 13, 14, 15, 17, 19, 1X, 1E, 21, 23, 25, 27, 28, 29, 2E, 31, 35, 37, 3E, 41, 45, 47, 4E, 51, 54, 57, 5E, 61, 65, 67, 69, 6E, 75, 81, 85, 87, 8E, 91, 95, X1, X5, X7, X8, XE, E5, E7, 101, 102, 103, 105, 107, 10X, 10E, 111, 112, 113, 114, 115, 116, 117, 119, 11X, 11E, 121, 125, 127, 128, 129, 12X, 12E, 131, 133, 135, 137, 139, 13E, 140, 141, 142, 145, 147, 149, 14X, 14E, 151, 152, 155, 157, 159, 15X, 15E, 161, 162, 163, 167, 168, 16X, 16E, 171, 173, 175, 177, 179, 17E, 181, 182, 185, 189, 18X, 18E, 191, 192, 195, 197, 19X, 19E, 1X1, 1X3, 1X5, 1X7, 1XX, 1XE, 1E1, 1E2, 1E5, 1E7, 1EE, 201, 203, 205, 207, 209, 211, 213, 215, 217, 219, 21E, 221, 225, 227, 228, 229, 233, 235, 237, 23E, 241, 243, 245, 24E, 251, 254, 255, 257, 25E, 261, 263, 265, 267, 26E, 271, 273, 277, 279, 27E, 280, 281, 285, 289, 28E, 291, 295, 299, 29E, 2X1, 2X3, 2X5, 2X7, 2X9, 2XE, 2E1, 2E7, 2EE, 301, 307, 30E, 311, 314, 315, 317, 321, 325, 327, 32E, 331, 335, 33E, 345, 346, 347, 34E, 355, 357, 35E, 361, 365, 367, 36E, 371, 375, 377, 381, 387, 38E, 391, 395, 397, 3X1, 3X5, 3XE, 3E1, 3E3, 3E5, 3E7, 401, 405, 407, 40E, 415, 41E, 421, 425, 427, 431, 435, 437, 43E, 447, 44E, 454, 455, 457, 45E, 461, 465, 467, 46E, 471, 47E, 481, 485, 487, 48E, 491, 492, 497, 49E, 4X5, 4X8, 4XE, 4E1, 4EE, 501, 507, 511, 515, 517, 51E, 525, 527, 531, 535, 537, 540, 541, 545, 551, 557, 55E, 565, 56E, 575, 577, 585, 587, 58E, 591, 59E, 5X1, 5X7, 5E1, 5E5, 5E7, 5EE, 605, 60E, 611, 615, 617, 61E, 621, 623, 628, 637, 63E, 641, 645, 647, 655, 661, 665, 66E, 675, 67E, 681, 687, 68E, 691, 695, 697, 69E, 6X7, 6E1, 701, 705, 70E, 711, 719, 71E, 721, 727, 735, 737, 745, 747, 74E, 751, 767, 76E, 771, 775, 77E, 785, 787, 791, 797, 7X1, 7X5, 7EE, 801, 80E, 817, 821, 825, 82E, 835, 83E, 841, 851, 853, 855, 85E, 865, 867, 871, 877, 881, 882, 88E, 8X5, 8X7, 8X8, 8XE, 8E5, 8E7, 901, 905, 907, 90E, 91E, 921, 927, 955, 95E, 961, 965, 967, 971, 985, 987, 994, 995, 9X7, 9XE, 9E1, 9E5, 9EE, X01, X07, X0E, X11, X16, X17, X27, X35, X37, X3E, X41, X45, X4E, X57, X5E, X6E, X75, X77, X80, X87, X91, X95, X9E, XX7, XXE, XE7, XEE, E11, E15, E1E, E21, E25, E2E, E31, E37, E45, E61, E67, E6E, E71, E81, E91, E95, E97, E99, EX5, EXE, EE5, EE7, 1000, ...

Extravagant (or wasteful) numbers: 4, 6, 8, 9, X, 10, 16, 18, 20, 22, 24, 26, 2X, 30, 32, 33, 34, 36, 38, 39, 3X, 40, 42, 43, 44, 46, 48, 49, 4X, 50, 52, 53, 55, 56, 58, 59, 5X, 60, 62, 63, 64, 66, 68, 6X, 70, 71, 72, 73, 74, 76, 77, 78, 79, 7X, 7E, 80, 82, 83, 84, 86, 88, 89, 8X, 90, 92, 93, 94, 96, 97, 98, 99, 9X, 9E, X0, X2, X3, X4, X6, X9, XX, E0, E1, E2, E3, E4, E6, E8, E9, EX, EE, 100, 104, 106, 108, 109, 110, 118, 120, 122, 123, 124, 126, 130, 132, 134, 136, 138, 13X, 143, 144, 146, 148, 150, 153, 154, 156, 158, 160, 164, 165, 166, 169, 170, 172, 174, 176, 178, 17X, 180, 184, 186, 187, 188, 190, 193, 196, 198, 199, 1X0, 1X2, 1X4, 1X6, 1X8, 1X9, 1E0, 1E3, 1E4, 1E6, 1E8, 1E9, 1EX, 200, 202, 204, 206, 208, 20X, 20E, 210, 212, 214, 216, 218, 21X, 220, 222, 223, 224, 226, 22X, 22E, 230, 231, 232, 234, 236, 238, 239, 23X, 240, 242, 244, 246, 248, 249, 24X, 250, 252, 253, 256, 258, 259, 25X, 260, 262, 264, 266, 268, 269, 26X, 270, 272, 274, 275, 276, 278, 27X, 282, 283, 284, 286, 287, 288, 28X, 290, 292, 293, 294, 296, 297, 298, 29X, 2X0, 2X2, 2X4, 2X6, 2X8, 2XX, 2E0, 2E2, 2E3, 2E4, 2E5, 2E6, 2E8, 2E9, 2EX, 300, 302, 303, 304, 305, 306, 308, 309, 30X, 310, 312, 313, 316, 318, 319, 31X, 31E, 320, 322, 323, 324, 326, 328, 329, 32X, 330, 332, 333, 334, 336, 337, 338, 339, 33X, 340, 341, 342, 343, 344, 348, 349, 34X, 350, 351, 352, 353, 354, 356, 358, 359, 35X, 360, 362, 363, 364, 366, 369, 36X, 370, 372, 373, 374, 376, 378, 379, 37X, 37E, 380, 382, 383, 384, 385, 386, 388, 389, 38X, 390, 392, 393, 394, 396, 398, 399, 39X, 39E, 3X0, 3X2, 3X3, 3X4, 3X6, 3X7, 3X8, 3X9, 3XX, 3E0, 3E2, 3E4, 3E6, 3E8, 3E9, 3EX, 3EE, 400, ...

Cyclic numbers: 2497, 186X35, 08579214E36429X7, 0478XX093598166E74311E28623X55, 036190X653277397X9E4E85X2E15689448241207, 0342295X3XX730X068456E879926181148E1E53765, 02872E3X23205525X784640XX4E9349081989E6696143757E117, 02195XE130654589391741523E34X0436E9X2610X8E56763282X47X6980871E785, 015138246217E6369325E3541X98XE202X274490433E071664EX6X839759X4058528960867X123109E9194772E7880E4X557, 01493X176X59XX0296783318E7980571346635E3740E2269106EX7281X4516211E9254388X30423E64X8755860847E09952XE5, 013360779039X61XE30E57658992X4X752538727X373E197E6X9E954EX885E442E8215X108E06456322917146968349418480X2405120267, 0117338278E87220E4090X25591E98954768606977X13X5X3710580465128X6EXX488394303499E07E2E19662X0232674535E52441X816184XE63E756X9315, 0107436063819031X0X616E053095627648913924467X72233E37117E79669E9X934EXE4785E583X2E8X1E15X50E68E265945732X8297754149988084XX4042552021287, 010521X95E594E073031365845X5429199093X751157408355323E7X3344X020X4396EXE69X12606270E48E8X85637616792X22E28146XX647E386689804188771E9E17825, ...

Sum-product numbers: 0, 1, 128, 173, 353 (no others)

Rhonda numbers: 3X8, 568, 2389, 2689, 27E6, 29E4, 4297, 4974, 5483, 6X35, 6E64, 7662, 86E8, 8864, 94E4, X867, XE36, 129XE, 12E83, 13888, 16E46, 19694, 1986E, 22783, 25465, 26356, 29871, 29X34, 2X2X6, 2EX6X, 32368, 32768, 32894, 32X77, 33786, 33968, 34757, 36819, 38748, 39834, 43E54, 49428, 4E326, 4E835, 52879, 5298E, 53453, 53454, 5X982, 65934, 67X34, 683X6, 73628, 76416, 7X536, 81EX6, 92828, 9E643, E1368, 117586, 11X568, 123682, 126894, 133686, 138748, 139534, 14X337, 14X49E, 14E519, 153669, 156572, 157234, 162294, 165XE7, 168432, 16EE61, 173547, 173694, 1894X1, 189E14, 198573, 1X2179, 212898, 2136E6, 214876, 214986, 219248, 21E5E6, 224X23, 228433, 229819, 234519, 236418, 238519, 23X314, 244276, 244623, 256956, 26715E, 26E416, 273829, 27941X, 284891, 29X126, 2X3X54, 2X566E, 2X6941, 2E39E4, 2E6551, 315726, 31EX94, 323X18, 326869, 3277E2, 3289X4, 334E37, 345244, 346623, 346639, 34X464, 3526E4, 376263, 37639X, 376734, 3776X1, 381829, 387226, 391448, 3982E4, 411646, 418E32, 428532, 42XX67, 433819, 435423, 435617, 451483, 458931, 461916, 462139, 464226, 46XX34, 476E13, 481276, 489126, 489724, 493418, 494E12, 495118, 4E5X13, 518576, 523X19, 533364, 53E968, 542974, 545134, 545416, 55X256, 55X671, 586152, 59521X, 613547, 61833X, 61953X, 619816, 626851, 629149, 63E453, 642716, 64391X, 644184, 644233, 644E16, 652818, 654186, 661X26, 665XE4, 67456E, 675616, 67X662, 693781, 69E118, 6X1643, 6X2333, 6X2725, 6X823E, 716443, 71X432, 722E26, 762214, 762337, 764626, 791194, 7X9265, 813449, 814489, 82291X, 8243E5, 84X232, 867E11, 872323, 878312, 879754, 881265, 88199E, 92172X, 93239X, 941753, 95236E, 968631, 994821, 9X7265, X16X49, X31449, X32423, X33626, X339X3, X36X41, X381X1, X53263, X53667, X53681, X74183, X82623, X88351, X92183, E11987, E16826, E1698E, E19419, E32318, E57433, E642E7, ... (3X8 is the smallest natural number that is Rhonda number in some base (base 10))

Vampire numbers: 1270, 1350, 1440, 1630, 1826, 1924, 1X28, 3266, 3760, 47EX, 101E95, 102553, 102610, 103410, 104310, 105343, 106210, 10622X, 108170, 109150, 109439, 10X740, 1129E3, 113345, 1137X0, 114X00, 116798, 116897, 116900, 116X36, 116E2X, 118255, 11961X, 119X75, 11X37E, 11X460, 11E2X6, 11E780, 120700, 123460, 123640, 123E74, 125X90, 12634E, 126426, 126436, 126480, 128560, 1286E4, 12X180, 12X848, 12E750, 130500, 131X60, 132780, 134374, 1344E8, 134823, 134930, 135340, 1368E9, 137494, 139856, 13X480, 13E24X, 140400, 141989, 141X69, 142800, 1434X6, 143X30, 14400E, 146380, 147X28, 148200, 149594, 14X772, 152350, 152720, 152760, 153740, 1539X3, 154330, 154X80, 15523E, 155320, 155330, 15772X, 159320, 159E23, 15X290, 160300, 162X80, 16300X, 164X2X, 169294, 17208X, 176827, 1785E0, 180260, 182769, 18E422, 18EX72, 190240, 192348, 192530, 192EX6, 193580, 193855, 194EX8, 19X9E3, 1X02E8, 1X2027, 1X72E6, 1X7922, 1X8216, 1E0270, 1E2160, 1E3240, 1E3457, 1E5209, 213860, 213E28, 213E30, 214670, 216346, 218131, 218976, 219E78, 21X4E5, 2218E4, 223640, 231687, 2317X9, 231975, 231E96, 234X80, 235783, 237900, 24186E, 247960, 248X80, 24X960, 24E680, 2593X2, 25E760, 2614X8, 26X9E0, 26EE2X, 270X36, 274EE8, 276056, 277460, 277E88, 2788E6, 282004, 28354X, 28759E, 297939, 29E6E3, 2X4X34, 2E3600, 302606, 303E72, 312E40, 313X78, 3153E4, 316600, 318XE0, 31EX26, 32E51X, 335E60, 337666, 337942, 33X494, 33X6E9, 33XX76, 341E66, 342739, 342E49, 347E20, 3517E6, 354800, 3557X3, 359460, 35E480, 35E969, 366196, 368XE4, 371X06, 37X560, 37E600, 380539, 385976, 39X460, 3X14X0, 3X5811, 3XX946, 3XE346, 3E7600, 401X99, 404954, 410868, 416E00, 4183E1, 41X3X4, 41X765, 41X978, 41E06E, 421XE3, 425XX0, 429594, 43E579, 451985, 452X28, 459E30, 45X800, 468760, 46X800, 47E980, 492628, 496900, 49EXX6, 4X5X59, 4X5X76, 4E05E8, 505E7X, 513E80, 514E60, 5153E6, 515EE9, 531E74, 53X266, 5539E6, 5569E3, 561E90, 564X60, 567X38, 56X460, 573709, 573930, 578800, 57EX88, 58EX59, 595379, 597E00, 5XE16E, 5XEE66, 5E4363, 5E9X67, 6129E9, 6174E4, 617997, 617XE8, 618880, 61E463, 652XE9, 65E24X, 681952, 685990, 68XEX8, 697E09, 6X71X4, 6E0573, 7527EE, 7583X6, 759X83, 781E40, 781E42, 7891X7, 78X940, 797898, 7X1398, 7X8X80, 7E7828, 804EE8, 819X50, 89X1E0, 8XE194, 8E9428, 9175E6, 94E1E6, 95XX69, 9XE090, 9XE108, X0EE1E, X1E3X8, X51EE6, X5X7E0, X81EE9, E1X3E8, ...

Brazilian numbers: 7, 8, X, 10, 11, 12, 13, 14, 16, 18, 19, 1X, 20, 22, 23, 24, 26, 27, 28, 29, 2X, 2E, 30, 32, 33, 34, 36, 37, 38, 39, 3X, 40, 42, 43, 44, 46, 47, 48, 49, 4X, 50, 52, 53, 54, 55, 56, 58, 59, 5X, 60, 61, 62, 63, 64, 65, 66, 68, 69, 6X, 70, 71, 72, 73, 74, 76, 77, 78, 79, 7X, 7E, 80, 82, 83, 84, 86, 88, 89, 8X, 90, 92, 93, 94, 96, 97, 98, 99, 9X, 9E, X0, X1, X2, X3, X4, X5, X6, X7, X8, X9, XX, E0, E1, E2, E3, E4, E6, E8, E9, EX, EE, 100, 101, 102, 103, 104, 106, 108, 109, 10X, 10E, 110, 111, 112, 113, 114, 115, 116, 118, 119, 11X, 120, 122, 123, 124, 126, 127, 128, 129, 12X, 130, 132, 133, 134, 135, 136, 137, 138, 139, 13X, 140, 142, 143, 144, 146, 148, 149, 14X, 14E, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 15X, 15E, 160, 161, 162, 163, 164, 165, 166, 168, 169, 16X, 170, 172, 173, 174, 176, 177, 178, 179, 17X, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 18X, 190, 191, 192, 193, 194, 196, 197, 198, 199, 19X, 1X0, 1X1, 1X2, 1X3, 1X4, 1X6, 1X8, 1X9, 1XX, 1XE, 1E0, 1E2, 1E3, 1E4, 1E6, 1E8, 1E9, 1EX, 1EE, 200, 202, 203, 204, 206, 207, 208, 209, 20X, 20E, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 21X, 220, 222, 223, 224, 226, 227, 228, 229, 22X, 22E, 230, 231, 232, 233, 234, 235, 236, 238, 239, 23X, 23E, 240, 242, 243, 244, 245, 246, 247, 248, 249, 24X, 250, 252, 253, 254, 256, 257, 258, 259, 25X, 260, 262, 263, 264, 265, 266, 268, 269, 26X, 26E, 270, 272, 273, 274, 275, 276, 278, 279, 27X, 280, 281, 282, 283, 284, 286, 287, 288, 289, 28X, 28E, 290, 292, 293, 294, 296, 297, 298, 299, 29X, 29E, 2X0, 2X2, 2X3, 2X4, 2X5, 2X6, 2X7, 2X8, 2X9, 2XX, 2E0, 2E1, 2E2, 2E3, 2E4, 2E5, 2E6, 2E7, 2E8, 2E9, 2EX, 300, 302, 303, 304, 305, 306, 308, 309, 30X, 310, 311, 312, 313, 314, 316, 317, 318, 319, 31X, 31E, 320, 322, 323, 324, 326, 327, 328, 329, 32X, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 33X, 340, 341, 342, 343, 344, 345, 346, 348, 349, 34X, 350, 351, 352, 353, 354, 355, 356, 358, 359, 35X, 360, 361, 362, 363, 364, 366, 367, 368, 369, 36X, 36E, 370, 371, 372, 373, 374, 376, 378, 379, 37X, 37E, 380, 382, 383, 384, 385, 386, 387, 388, 389, 38X, 38E, 390, 392, 393, 394, 395, 396, 398, 399, 39X, 39E, 3X0, 3X1, 3X2, 3X3, 3X4, 3X6, 3X7, 3X8, 3X9, 3XX, 3E0, 3E1, 3E2, 3E3, 3E4, 3E6, 3E8, 3E9, 3EX, 3EE, 400, ...

Brazilian primes: 7, 11, 27, 37, 61, X7, 111, 157, 181, 217, 2E1, 327, 421, 531, 771, 797, X37, EE7, 1587, 1755, 1877, 1XE7, 2071, 2317, 2687, 2967, 2E61, 3371, 3587, 3697, 3901, 4777, 48X7, 5891, 5E67, 6537, 7097, 7241, 7EX7, 8321, X011, E127, E377, E707, EE01, 10711, 11111, 11137, 11777, 11EE1, 13117, 13347, 137E1, 142X1, 14521, 15507, 15XX5, 16041, 18691, 18947, 19541, 19X87, 1EE71, 20817, 21497, 22X61, 23767, 27021, 28451, 28497, 2XX67, 2E1E7, 35127, 36E81, 38X77, 39261, 3EX01, 40201, 40X07, 41X27, 43431, 47527, 492X7, 529E7, 53E91, 55641, 57X77, 58821, 5X351, 5E601, 61E67, 63X27, 67017, 6XXX7, 70287, 71141, 751X1, 76631, 77X97, 79907, 7X831, 7E1X7, 83517, 84481, 89327, 91307, 91911, 97X81, 9E027, X00X1, X0721, XE491, E67E7, EX02E, EX101, 100E71, 108001, 10E6E7, 113987, 116X47, 117591, 118867, 11E237, 121091, 121381, 128021, 129E27, 131981, 135877, 136461, 139811, 142411, 144437, 145861, 148421, 156931, 158207, 15XE97, 161131, 167647, 169841, 16E187, 175871, 17XX87, 180471, 196751, 198E41, 1X1767, 1X8897, 1E48X1, 1E8947, 210501, 2134X7, 215537, 217161, 221081, 227XX1, 22E431, 236391, 23E6E7, 240567, 245941, 24X2X7, 256417, 259097, 263561, 268X65, 268E97, 26E917, 27X051, 283847, 284791, 28X437, 290331, 298E31, 29EX21, 2X6817, 2E3661, 2E3E11, 2E5637, 2E8611, 300601, 30E6E1, 312757, 322XX7, 3253X1, 327057, 32X197, 330291, 340981, 344XE7, 345051, 348277, 34X421, 355X01, 3769E7, 384941, 385X81, 393E37, 399697, 3X55X7, 3E03E1, 3E3917, 3E6081, 3E7257, 404537, 405727, 40E501, 414111, 419E61, 422811, 425057, 431427, 443897, 460487, 468EE7, 46E571, 473217, 478187, 47EX67, 495551, 496871, 4X1077, 4X23X7, 4E1991, 501491, 503E97, 5110X7, 517727, 51E647, 52E477, 534827, 537411, 538807, 5534E1, 573X07, 575257, 5856X1, 5883E7, 590591, 596041, 598987, 5X66E7, 5E5997, 5EE567, 610297, 63X8E7, 6417X1, 647591, 64EX41, 6610X1, 664027, 6655E1, 672457, 68E301, 6X6X11, 6E3E47, 6E8627, 705831, 715E91, 727X91, 730681, 739XX7, 742721, 751701, 759571, 75E067, 76E887, 77XX71, 7885X7, 796181, 7X8837, 807621, 815447, 817017, 823311, 832X27, 840X01, 844207, 845X11, 852261, 853X77, 860357, 888597, 88EX91, 8X3391, 8X8581, 8E8677, 913797, 929171, 935E01, 9445E7, 949977, 95X281, 963691, 975X31, 977791, 993521, 9952X1, 998X27, 9X4117, 9X7881, X07507, X0E101, X1EE37, X23761, X2E011, X52X31, X60241, X67575, X67831, X86341, XX5051, XX8X17, XE4587, E07967, E09871, E19317, E36651, E50067, E61891, E67741, E75531, E774X7, E872E1, E8E247, EX10E1, EX5077, ...

Brazilian primes base 10: 111, 11111, 1111111111111111111, 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111, 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111, ... (next term has 225 digits)

Brilliant numbers: 4, 6, 9, X, 12, 13, 19, 1X, 21, 29, 2E, 41, 47, 65, X1, 121, 165, 187, 201, 20E, 22E, 261, 275, 287, 297, 305, 341, 351, 37E, 381, 385, 39E, 3X7, 411, 42E, 445, 477, 495, 4X1, 4X7, 4E5, 50E, 53E, 54E, 561, 567, 581, 5X1, 5XE, 607, 625, 62E, 631, 64E, 667, 671, 681, 6X5, 6E7, 6EE, 717, 725, 755, 75E, 761, 795, 7XE, 7E7, 805, 807, 831, 847, 857, 875, 87E, 891, 89E, 8X1, 915, 931, 937, 93E, 945, 951, 957, 961, 977, 97E, 98E, 997, 9X1, X15, X25, X51, X61, X65, X81, X85, XE5, E07, E41, E4E, E55, E57, E7E, E81, E8E, E9E, EX7, EE1, ... (includes all squares of primes and all products of twin prime pairs except EE = E × 11)

Smith numbers: 4, 18, 19, 22, 28, 73, 76, X5, E3, E6, 121, 135, 14X, 154, 163, 169, 1E3, 1E8, 208, 23X, 259, 278, 296, 2X9, 2E2, 32X, 339, 36E, 386, 394, 398, 3X2, 409, 459, 489, 48X, 504, 50E, 539, 55X, 55E, 579, 582, 584, 588, 5E3, 5EX, 609, 613, 629, 65E, 669, 677, 698, 6E4, 703, 717, 758, 759, 762, 796, 79X, 816, 836, 852, 856, 885, 894, 8X0, 8X4, 8X6, 8E1, 909, 915, 942, 949, 957, 983, 996, 9E0, X23, X29, X32, X33, X64, X67, X72, X74, X92, XX1, E18, E28, E43, E5X, E72, E73, 1063, 108E, 1097, 1099, 109X, 10X5, 10X8, 10E8, 1144, 1168, 1196, 11XX, 1239, 1276, 127X, 1286, 129X, 12X2, 1305, 130E, 1333, 1404, 1466, 1469, 1478, 1482, 14EX, 151X, 153X, 153E, 15X4, 15XX, 1619, 1627, 162E, 164X, 1659, 1668, 1702, 1707, 1709, 171X, 172X, 1736, 1784, 1795, 1796, 1798, 17X3, 17X4, 180X, 1828, 1838, 1847, 1848, 1857, 1863, 187X, 1893, 18E3, 1905, 1929, 1936, 1938, 1961, 1965, 196X, 1974, 1977, 1980, 1X18, 1X19, 1X22, 1X38, 1X5X, 1X81, 1X91, 1E1E, 1E31, 1E37, 1E42, 1E52, 1E54, 1E63, 1E66, 1E81, 1E95, 1EX0, 1EE3, 1EE8, 1EE9, 2008, 204E, 2068, 208X, 208E, 20XX, 2186, 2198, 21X2, 21X3, 21X8, 2299, 230X, 2366, 2375, 2379, 2382, 2388, 2399, 23E6, 2409, 2419, 244X, 2455, 2494, 2495, 24X4, 24E4, 2558, 25X2, 2627, 2636, 2639, 263X, 2649, 2694, 2695, 26X0, 26X3, 271E, 274X, 2751, 2769, 27EX, 2854, 2856, 2861, 2864, 286X, 2871, 2874, 2914, 2918, 2922, 295X, 2970, 2973, 2976, 2982, 2994, 29X4, 29E0, 2X09, 2X15, 2X44, 2X63, 2X73, 2XE8, 2E02, 2E06, 2E08, 2E25, 2E39, 2E3X, 2E70, 2E96, 2EX9, 302X, 302E, 3086, 30X3, 30E1, 312E, 3133, 316X, 316E, 3189, 31E5, 320X, 32X3, 32XE, 3313, 3316, 3379, 33X2, 3462, 3476, 349X, 34E9, 3549, 361X, 3626, 3642, 3682, 3686, 3699, 36E1, 376X, 3772, 3785, 378X, 3805, 3822, 382X, 385X, 3873, 3876, 389E, 3918, 3930, 3948, 3954, 3971, 39X8, 3X02, 3X08, 3X21, 3X3X, 3X56, 3X85, 3X96, 3E23, 3E28, 3E43, 3E46, 3E98, 3EX0, 3EX8, 3EX9, 401X, 4058, 406X, 4089, 4092, 40X1, 4109, 410X, 4178, 4179, 419E, 421X, 4272, 4279, 429E, 42X4, 42E3, 433X, 4358, 4362, 4385, 43X9, 4477, 4481, 44X0, 44X2, 44E2, 457X, 4609, 4628, 4632, 4641, 4651, 4706, 4719, 474E, 4757, 475E, 4788, 47XX, 47E3, 4835, 4863, 4872, 48E3, 4908, 4935, 493X, 4946, 4950, 4972, 4983, 4984, 49E3, 4X34, 4X37, 4X43, 4X46, 4X60, 4X76, 4X86, 4XX3, 4E1X, 4E59, 4E83, 4EX8, 4EE3, 5004, 5039, 5066, 5088, 5091, 50EX, 5104, 5169, 5193, 51XX, 51E8, 51E9, 5277, 529X, 529E, 52E5, 532E, 5379, 5381, 5384, 542X, 5456, 5493, 5496, 550X, 5525, 5550, 556X, 5574, 5597, 55E3, 5618, 5627, 565X, 56E3, 56E6, 574E, 5754, 5757, 5768, 5792, 57E3, 57E5, 57E8, 5836, 583X, 5852, 5853, 5861, 5872, 5879, 58X9, 5915, 5939, 5943, 5975, 597E, 5983, 59X3, 59X4, 5X01, 5X06, 5X1X, 5X33, 5X39, 5XX0, 5XX1, 5XE3, 5E04, 5E09, 5E2X, 5E57, 5E78, 5E88, 5E90, 6009, 6013, 6016, 603E, 604X, 6072, 6099, 60X4, 60X8, 60E4, 60E9, 6159, 6187, 621E, 622X, 6236, 6249, 627E, 6284, 6287, 6292, 6294, 62X0, 62X3, 62X6, 6317, 6339, 6347, 63E8, 6429, 6478, 6489, 64XX, 6518, 6522, 6581, 6597, 65X6, 65XX, 65E1, 65E6, 6612, 6627, 6630, 66E4, 66E8, 6702, 6723, 6725, 673X, 6742, 6762, 6813, 6824, 6839, 6846, 6849, 6855, 6879, 68X4, 68E4, 690E, 691X, 6924, 6960, 6983, 69E3, 6X04, 6X14, 6X49, 6X57, 6X5E, 6X95, 6X98, 6E08, 6E13, 6E29, 6E30, 6E3X, 6E46, 6E56, 6E74, 6E88, 6EX4, 6EE4, 703X, 7058, 7068, 7071, 7095, 7118, 7149, 7156, 718X, 7197, 7199, 71X9, 7226, 7242, 7269, 72E0, 7369, 7386, 7399, 73E7, 7406, 7414, 7419, 7426, 7456, 7473, 7476, 74X6, 7527, 7544, 7563, 7564, 7575, 7602, 7603, 7608, 7631, 7645, 7694, 76E2, 772X, 7746, 7751, 7775, 77X0, 77X6, 77X8, 7812, 7836, 7860, 7883, 7889, 7892, 78E0, 7904, 790X, 7929, 7947, 7978, 7987, 7X13, 7X54, 7X56, 7X90, 7XE4, 7E03, 7E59, 7E5X, 7E80, 7E9X, 8036, 803E, 805E, 8061, 808X, 8099, 80X3, 810X, 8126, 8147, 8193, 81E4, 81EX, 81EE, 820E, 821X, 8228, 8236, 825E, 8262, 8264, 8265, 8278, 8289, 8306, 8309, 8319, 8376, 83E6, 8412, 8421, 8452, 8471, 8489, 8490, 84X8, 8556, 8611, 8639, 8643, 8661, 8699, 86X7, 8705, 8733, 8750, 8753, 8775, 8814, 8818, 881E, 882X, 8846, 8856, 8879, 8886, 8910, 891X, 8921, 8956, 896X, 8972, 89E2, 8X06, 8X3X, 8X54, 8E11, 8E3E, 8E53, 8E59, 8EX0, 8EX2, 8EX6, 901X, 9023, 9048, 9051, 907X, 9109, 9123, 9164, 9174, 9196, 920X, 9222, 9237, 9239, 924E, 9262, 9268, 9273, 9274, 92E6, 9339, 933E, 934E, 9369, 9377, 9379, 9439, 943X, 9448, 9465, 9470, 9478, 9482, 9496, 94X8, 9507, 9534, 9543, 9546, 9555, 9558, 9559, 9567, 956E, 9576, 9586, 9588, 961X, 961E, 9660, 9683, 9692, 9693, 96E7, 9708, 9746, 974X, 975X, 9773, 9782, 9791, 9812, 9813, 9816, 9819, 9828, 9845, 9872, 9877, 9890, 9917, 9962, 9983, 9991, 9995, 9X08, 9X24, 9X28, 9X52, 9X53, 9X80, 9X90, 9XE1, 9E26, 9E58, 9E70, 9E82, 9E83, X064, X069, X074, X080, X127, X15X, X169, X19X, X1E6, X251, X25E, X263, X289, X2X8, X2E9, X361, X379, X396, X3X4, X3E2, X409, X434, X449, X453, X493, X505, X518, X51X, X539, X568, X576, X583, X58X, X612, X620, X629, X637, X687, X713, X719, X736, X772, X7X4, X7E5, X802, X829, X82X, X883, X896, X911, X912, X952, X958, X959, X970, X972, X9E3, XX12, XX36, XX38, XX39, XX3E, XX49, XX63, XX75, XX85, XXE3, XE04, XE23, XE29, XE80, E006, E00X, E019, E054, E05X, E064, E076, E081, E089, E08X, E09X, E0E3, E0E6, E0EX, E144, E154, E166, E1E3, E202, E22E, E25X, E2E2, E313, E342, E367, E36X, E386, E398, E3X2, E3X8, E41X, E489, E504, E509, E523, E529, E549, E557, E566, E569, E579, E590, E5E6, E627, E645, E648, E653, E656, E678, E6X4, E6E2, E703, E745, E758, E767, E782, E79X, E817, E825, E852, E8X3, E90X, E926, E938, E942, E962, E990, EX29, EX32, EX93, EE05, EE06, EE18, EE19, EE24, EE26, EE28, EE51, EE5X, ...

By properties of eulerphi(n) Edit

Nontotients: 12, 22, 2X, 32, 42, 52, 58, 62, 64, 72, 76, 7X, 82, 96, 9X, X2, X4, E2, EX, 102, 108, 10X, 112, 122, 126, 132, 136, 138, 142, 14X, 152, 15X, 162, 172, 176, 178, 182, 184, 186, 188, 192, 196, 1X2, 1XX, 1E2, 1E8, 1EX, 202, 20X, 212, 214, 218, 222, 226, 22X, 232, 23X, 242, 244, 252, 256, 262, 264, 26X, 272, 274, 282, 286, 28X, 292, 296, 298, 29X, 2X2, 2X4, 2X6, 2E2, 2E6, 2E8, 302, 304, 312, 316, 31X, 322, 332, 334, 336, 342, 344, 348, 352, 354, 366, 36X, 370, 372, 37X, 382, 384, 386, 38X, 392, 398, 39X, 3X2, 3X6, 3E2, 3E8, 3EX, 402, 406, 412, 416, 418, 422, 424, 428, 42X, 432, 43X, 442, 444, 44X, 452, 458, 462, 466, 472, 476, 478, 47X, 482, 486, 488, 492, 49X, 4X2, 4X6, 4XX, 4E2, 4E6, 502, 504, 508, 50X, 512, 518, 522, 524, 528, 52X, 532, 536, 53X, 542, 546, 54X, 552, 558, 55X, 562, 566, 56X, 570, 572, 57X, 582, 588, 592, 596, 5X2, 5X4, 5X6, 5XX, 5E2, 602, 604, 606, 608, 60X, 612, 622, 624, 626, 62X, 632, 638, 642, 644, 64X, 652, 65X, 662, 666, 668, 670, 672, 676, 67X, 682, 684, 688, 692, 696, 6X2, 6X4, 6X8, 6XX, 6E2, 6E6, 6EX, 702, 706, 712, 716, 718, 722, 724, 72X, 732, 738, 73X, 742, 748, 74X, 752, 756, 758, 75X, 762, 764, 772, 776, 778, 782, 786, 78X, 792, 79X, 7X2, 7X4, 7X6, 7XX, 7E2, 7E6, 7E8, 802, 804, 806, 810, 812, 81X, 822, 826, 832, 836, 83X, 842, 844, 846, 848, 852, 856, 858, 862, 86X, 872, 876, 878, 87X, 882, 884, 886, 888, 892, 896, 898, 89X, 8X2, 8E2, 8EX, 902, 910, 912, 916, 922, 924, 92X, 932, 934, 936, 938, 93X, 942, 944, 946, 94X, 952, 956, 962, 966, 96X, 972, 976, 978, 97X, 982, 984, 98X, 992, 996, 998, 99X, 9X2, 9X4, 9E2, 9E6, X02, X04, X08, X12, X18, X1X, X22, X24, X2X, X32, X42, X46, X48, X52, X54, X56, X58, X62, X64, X66, X70, X72, X78, X7X, X82, X8X, X92, X96, X98, XX2, XX4, XE2, XE4, XE8, E02, E04, E06, E0X, E12, E16, E18, E22, E26, E32, E38, E3X, E42, E46, E4X, E52, E54, E56, E5X, E62, E72, E76, E7X, E82, E84, E86, E88, E8X, E92, E98, E9X, EX2, EX6, EXX, EE2, EEX, ... (most numbers end with 2 are nontotients (all totients end with 2 are of the form p*(p-1) with prime p), and all nontotients < 58 except 2X end with 2)

Noncototients: X, 22, 2X, 42, 44, 4X, 72, 84, 98, X2, XX, E2, 102, 10X, 122, 124, 136, 14X, 152, 162, 166, 174, 184, 198, 1X2, 1X4, 1XX, 202, 204, 20X, 21X, 232, 244, 248, 24X, 262, 266, 270, 282, 28X, 298, 2X4, 304, 32X, 332, 336, 342, 34X, 372, 374, 384, 386, 388, 396, 3X2, 3XX, 3E2, 404, 408, 418, 442, 44X, 462, 464, 476, 488, 492, 494, 4X2, 4XX, 502, 504, 50X, 510, 522, 544, 54X, 556, 562, 574, 582, 596, 5X2, 5XX, 608, 60X, 632, 636, 642, 64X, 652, 658, 664, 682, 684, 692, 698, 6X2, 70X, 724, 726, 732, 742, 750, 754, 784, 7X4, 7E2, 806, 808, 812, 814, 822, 834, 84X, 862, 86X, 884, 898, 8X2, 8E2, 904, 930, 932, 936, 942, 954, 964, 968, 976, 982, 984, 998, 9X2, X04, X1X, X20, X22, X2X, X44, X4X, X52, X56, X62, X6X, X72, X98, XX2, XE2, E02, E04, E28, E36, E42, E44, E52, E66, E82, E84, EX2, EXX, EE2, ...

Highly totient numbers: 1, 2, 4, 8, 10, 20, 40, 60, 100, 180, 300, 340, 400, 500, 800, X00, 1800, 2600, 3400, 5000, 6800, X000, 13000, 15600, 18000, 1E400, 26000, 2E000, 34000, 3X800, 50000, 5X000, 79400, 89000, X0000, E8000, 156000, 1E4000, 2E0000, 3X8000, 4X4000, 5X0000, 794000, 890000, 988000, E80000, ...

Highly cototient numbers: 2, 4, 8, 1E, 2E, 3E, 4E, 53, 6E, 75, 95, 9E, 11E, 155, 1X5, 20E, 235, 285, 2XE, 365, 445, 46E, 54E, 59E, 735, 815, 88E, X25, E55, E7E, 1115, 126E, 1405, 16E5, 19X5, 1E3E, 2095, 2385, 251E, 2595, 2675, 280E, 3055, 31XE, 349E, 3635, 3925, 3X7E, 4015, 474E, 48X5, 5285, 541E, 5E55, 6245, 639E, 6825, 7X95, 802E, 8X55, 8EXE, 929E, 9435, X3E5, X83E, 10045, 1077E, 1144E, 12275, 12855, 1396E, 1405E, 15465, 18075, 18655, 1947E, 1X885, 21495, 22X35, 254XE, 26025, 268E5, 29215, 2X90E, 32925, 35535, 38145, 3954E, 40E85, 41565, 4296E, 44175, 49595, 4EXE5, 5004E, 515XE, 55605, 56X0E, 57E25, 58215, 5961E, 64245, 6825E, 686X5, 6XX6E, 72X85, 76X9E, 82E0E, 84315, 8571E, 8832E, 95765, 98375, X009E, X1795, X6EE5, E2355, E442E, E703E, 104475, 106105, 10848E, 109895, 1104X5, 11991E, 124545, 12594E, 13197E, 138005, 13E1E5, 14E23E, 150645, 15465E, 169E05, 18017E, 181875, 18336E, 189E95, 191EXE, 198815, 1X885E, 1E207E, 207525, 236235, 26373E, 264E45, 278EX5, 27X3XE, 293855, 2EE955, 331275, 3392X5, 34671E, 357E6E, 35EE85, 376835, 38X895, 3E95X5, 408225, 412X4E, 457005, 46E065, 47046E, 4X85E5, 4E4625, 5146E5, 523335, 54XX55, 552045, 557465, 5674XE, 5X0X25, 5XE665, 5EE6XE, 61X375, 677995, 69123E, 695255, 6X66X5, 73146E, 744105, 75956E, 7X1725, 7E6E8E, 810435, 81444E, 82589E, 898765, 8E200E, 8EE445, 91X10E, 92091E, 994EXE, 9X904E, X291XE, X31205, XX80X5, E1299E, E56E55, EEE19E, ...

By properties of s(n) Edit

Untouchable numbers: 2, 5, 44, 74, 80, X0, X4, 102, 116, 138, 152, 156, 160, 17X, 186, 188, 19X, 1X4, 1E0, 200, 202, 204, 214, 216, 22X, 230, 232, 240, 246, 270, 29X, 2X0, 2E6, 2EX, 314, 334, 336, 356, 370, 372, 374, 382, 390, 3X0, 3X4, 3XX, 400, 408, 430, 440, 442, 444, 46X, 478, 47X, 4E0, 4E6, 4EX, 506, 510, 516, 524, 526, 530, 53X, 540, 552, 554, 560, 56X, 570, 582, 598, 5X8, 5E0, 608, 624, 626, 628, 62X, 632, 652, 65X, 660, 684, 686, 694, 69X, 6E0, 6E6, 718, 730, 732, 744, 750, 756, 75X, 760, 77X, 790, 7X0, 7X6, 7E6, 7E8, 7EX, 808, 80X, 814, 824, 82X, 834, 840, 850, 85X, 870, 87X, 880, 886, 888, 88X, 896, 8X0, 8E4, 900, 914, 916, 918, 91X, 926, 930, 93X, 942, 944, 954, 970, 978, 986, 990, 992, 9X2, 9X4, 9X6, 9EX, X30, X56, X58, X5X, X6X, X74, X82, X86, XX6, XE6, E04, E10, E40, E4X, E56, E80, E82, E90, EE0, EE2, 1000, ...

Primes by formula (basic) Edit

Fermat primes: 3, 5, 15, 195, 31E15, ... (except 3, all end with 5) (all of the Fermat numbers F5 to F28 are known to be composite)

Generalized Fermat primes base 10: 11, ... (all of the generalized (base 10) Fermat numbers F1(10) to F20(10) are known to be composite)

Mersenne primes (also generalized repunit primes base 2): 3, 7, 27, X7, 48X7, 63X27, 2134X7, 4EE2308X7, 1057E377E1343360X7, 79524577E0E577476E7X8EX27, 82521X179793278231206852X37X27, 2X695925806818735399X37X20X31E3534X7, ... (except 3, all end with 7) (Exponents: 2, 3, 5, 7, 11, 15, 17, 27, 51, 75, 8E, X7, 375, 427, 8X7, 1337, 13X1, 1X41, 2565, 2687, 5735, 5905, 65X5, E655, 10685, 11521, 21901, 41XXE, 53E47, 64501, X5077, 305E9E, 355435, 507X77, 575225, EE6425, 1018595, 2403095, 4615431, 7046577, 8072087, 884201E, X222021, XXE3855, 1053X84E, 12346161, 12531515, ..., 17476435, ..., 20X28041, ..., 21X46E85, ..., 237XE125, ...)

Repunit primes: 11, 111, 11111, 1111111111111111111, 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111, 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111, ... (Lengths: 2, 3, 5, 17, 81, 91, 225, 255, 4X5, 5777, 879E, 198E1, 23175, 311407, ...)

Wagstaff primes: 3, E, 37, 48E, 16E7, 2134E, 85177, E2X20E, 17E8902E7, 3E42E7303437, 41X79267851512037, 446810208595504X320837, 619X7472X29E4E9183X6503E188E, E631E09X82286X519333527483507919177, 15072XE613EE3038XE72103X824XE33082774036274760E, 7E971E7006XX6207032568X9682X0X626937799197382709X308E, 1223889E1503403785984679X3X786X846865728324EX73296293977, 8759363018X520E55344365EX9E6610286X543XX6X3E8E61E555032E41515003X461957095730X537X17437, 24866E56899E4396X35246596981X58563826X26548709X3360480X61XE71X231E2296968E5431X9189E54EXX6X86X20E, ... (Exponents: 3, 5, 7, E, 11, 15, 17, 1E, 27, 37, 51, 67, 85, X7, 11E, 13E, 147, 221, 24E, 4X5, EX5, 1621, 206E, 343E, 60E1, 622E, 663E, 7207, 8467, 20895, 4028E, 47235, 57X1E, 6161E, 684X1, 69787, 10X635, 1102XE, 160755, 3E6867, 1424E9E, ..., 457817E, 458X897, ...)

Generalized Wagstaff primes base 10: E0E1, E0E0E0E0E1, E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E1, E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E0E1, ... (Exponents: 5, E, 91, 141, X37, 66X1, 1048E, 1081E, 11E1E, 51X0E, 68X4E, 1EE015, ...)

Sophie Germain primes: 2, 3, 5, E, 1E, 25, 35, 45, 6E, 75, 95, XE, 125, 12E, 13E, 175, 17E, 18E, 1E5, 205, 25E, 2XE, 2EE, 30E, 34E, 365, 415, 455, 465, 46E, 48E, 4EE, 51E, 535, 575, 63E, 675, 705, 70E, 71E, 735, 77E, 85E, 865, 8E5, 995, 9EE, X0E, X35, X4E, X5E, X9E, XEE, E15, 1005, 106E, 1115, 1125, 114E, 1185, 11XE, 121E, 123E, 1245, 1295, 12X5, 1395, 142E, 143E, 1475, 147E, 150E, 157E, 1585, 1685, 168E, 1705, 1715, 176E, 181E, 184E, 186E, 1875, 18EE, 1XXE, 1E15, 1E3E, 1E65, 1E85, 1EE5, 202E, 206E, 20E5, 211E, 2215, 222E, 224E, 2265, 228E, 229E, 231E, 23XE, 2435, 252E, 257E, 2625, 2645, 265E, 2675, 2715, 28X5, 2935, 299E, 2X1E, 2X3E, 2X8E, 2XEE, 2E0E, 2E35, 2EXE, 303E, 307E, 309E, 3105, 315E, 3195, 3225, 331E, 337E, 33X5, 3475, 34EE, 3605, 3645, 3655, 366E, 36X5, 375E, 3765, 37XE, 37E5, 3895, 390E, 3935, 395E, 396E, 3985, 3XE5, 3EXE, 405E, 40XE, 411E, 413E, 4155, 417E, 41E5, 420E, 4305, 4375, 4445, 450E, 4515, 454E, 463E, 4655, 468E, 46X5, 4805, 4825, 483E, 492E, 4955, 4E15, 501E, 5045, 5085, 521E, 5235, 5285, 52XE, 5405, 5465, 550E, 554E, 5595, 559E, 562E, 56X5, 5735, 57EE, 59X5, 5X0E, 5X6E, 5E25, 5E3E, 5E75, 5E8E, 6115, 6165, 6185, 622E, 6245, 6265, 62X5, 62EE, 636E, 656E, 6675, 66E5, 6715, 677E, 67EE, 6825, 684E, 692E, 699E, 69E5, 6X05, 6X1E, 6X85, 6XXE, 6E4E, 6E75, 7005, 701E, 708E, 711E, 7175, 73X5, 73EE, 749E, 7505, 756E, 758E, 75EE, 7635, 7675, 77X5, 7855, 794E, 795E, 7X15, 7X6E, 7X95, 7E6E, 804E, 8065, 8075, 8135, 8195, 8235, 823E, 82E5, 833E, 8355, 8475, 8515, 8565, 85X5, 860E, 8645, 867E, 86EE, 873E, 878E, 88X5, 8935, 8945, 8995, 8X05, 8XE5, 9015, 9065, 9165, 917E, 918E, 926E, 9315, 938E, 94X5, 9525, 9605, 9665, 96E5, 9795, 988E, 989E, 992E, 996E, 9E1E, 9E3E, X00E, X045, X05E, X20E, X285, X295, X46E, X4X5, X535, X5XE, X605, X63E, X675, X745, X80E, X825, XX0E, XX45, XX6E, XE2E, E10E, E205, E21E, E265, E27E, E2E5, E395, E39E, E465, E4X5, E51E, E615, E635, E63E, E69E, E73E, E875, E955, E975, E98E, E9E5, EE85, ... (except 2 and 3, all end with 5 or E)

Sophie Germain primes of the second kind: 2, 3, 7, 17, 27, 31, 67, 81, E7, 111, 147, 157, 171, 1X7, 217, 237, 241, 267, 277, 307, 357, 397, 401, 421, 427, 437, 471, 497, 507, 577, 591, 611, 661, 687, 6E1, 701, 751, 817, 871, 8X7, 901, 987, 9E1, X17, X77, E21, E37, E61, 1027, 10E7, 11E7, 1211, 1261, 1297, 12X1, 1317, 1351, 13X1, 1407, 1517, 1577, 1587, 1591, 1621, 1697, 16X7, 1747, 1797, 18E7, 1911, 1931, 1937, 1971, 1X01, 1X11, 1X17, 1E07, 1E17, 1E67, 2037, 2061, 2107, 2181, 2191, 21E7, 2221, 22E1, 2367, 23E7, 2417, 2467, 24X7, 2501, 2547, 2571, 2617, 2631, 26X7, 2737, 2787, 27X7, 2811, 2827, 2941, 2967, 2991, 2X11, 2X47, 2X77, 2EX7, 2EE7, 3037, 3177, 3187, 3207, 3271, 3291, 3337, 33E1, 3467, 3477, 35E1, 3627, 3661, 3687, 3717, 3721, 3731, 3767, 3771, 3791, 3821, 3837, 3871, 3877, 3957, 3X57, 3X71, 3E61, 4041, 4047, 4217, 4281, 4321, 4357, 4417, 4441, 4461, 44E1, 4507, 4541, 4547, 4677, 4727, 4781, 4887, 48X7, 4901, 4967, 4991, 49X1, 4X91, 4E21, 4E27, 4E37, 4EE1, 5007, 5041, 5211, 5267, 52X1, 52E7, 5317, 5331, 5347, 5367, 5371, 53X7, 5421, 5451, 5487, 5531, 5697, 5761, 5777, 5857, 5891, 5897, 58E7, 5X81, 5E37, 5E81, 6051, 60E1, 6117, 6171, 61X7, 6201, 62E1, 6327, 6331, 6391, 6487, 6617, 6647, 6667, 67X1, 6807, 6857, 6997, 6X27, 6X67, 6E07, 6E81, 7097, 7101, 7207, 7231, 72E1, 7341, 7377, 7491, 7511, 7607, 7641, 7737, 7747, 7797, 7801, 7917, 7921, 7941, 7971, 7X01, 7X77, 7XE1, 7E01, 7E41, 8127, 8151, 8231, 8271, 8407, 8417, 8451, 8507, 8641, 86E1, 8897, 8901, 89E7, 8X11, 8X21, 8X47, 8X57, 8X71, 8XX7, 8E17, 8EE1, 9057, 9091, 9097, 90X7, 9137, 9177, 9281, 9307, 9387, 9451, 94X1, 94E7, 9601, 9687, 9777, 9821, 9837, 9927, 99E1, 9X31, 9X97, 9E01, 9E47, 9EX1, X121, X157, X277, X341, X3X7, X4E1, X541, X5X1, X661, X671, X791, X807, X817, X821, X951, X971, X987, XX57, XXE7, XE97, E0E1, E167, E2X1, E331, E341, E421, E487, E497, E5E7, E727, E761, E777, E937, E987, EX51, EE17, EE41, EE97, ... (except 2 and 3, all end with 1 or 7)

Safe primes: 5, 7, E, 1E, 3E, 4E, 6E, 8E, 11E, 12E, 16E, 19E, 24E, 25E, 27E, 32E, 33E, 35E, 3XE, 40E, 4EE, 59E, 5EE, 61E, 69E, 70E, 82E, 8XE, 90E, 91E, 95E, 9EE, X3E, X6E, E2E, 107E, 112E, 120E, 121E, 123E, 126E, 133E, 14EE, 150E, 15XE, 176E, 17EE, 181E, 186E, 189E, 18EE, 197E, 19EE, 1X2E, 200E, 211E, 222E, 224E, 229E, 234E, 239E, 243E, 247E, 248E, 256E, 258E, 276E, 285E, 287E, 292E, 293E, 2X1E, 2E3E, 2E4E, 314E, 315E, 320E, 322E, 331E, 343E, 349E, 351E, 352E, 35EE, 399E, 3X2E, 3X7E, 3E0E, 3E4E, 3EXE, 405E, 411E, 41XE, 423E, 442E, 445E, 449E, 450E, 455E, 457E, 463E, 479E, 486E, 4X5E, 4E3E, 504E, 508E, 50EE, 512E, 522E, 558E, 566E, 577E, 583E, 587E, 595E, 59EE, 5X1E, 5X6E, 5E9E, 607E, 613E, 617E, 620E, 62EE, 636E, 644E, 663E, 673E, 678E, 692E, 69EE, 700E, 708E, 70XE, 711E, 718E, 72EE, 730E, 739E, 73XE, 756E, 761E, 766E, 76EE, 771E, 774E, 79XE, 7E9E, 80EE, 819E, 823E, 827E, 82XE, 833E, 83XE, 841E, 860E, 872E, 888E, 8X1E, 8X2E, 8X9E, 907E, 90XE, 915E, 918E, 940E, 944E, 947E, 965E, 96XE, 9X2E, X03E, X08E, X14E, X43E, X46E, X54E, X59E, X80E, X90E, XX1E, XX9E, XE6E, XE7E, E05E, E18E, E26E, E3EE, E78E, E81E, E91E, EX4E, EX7E, EE2E, EE5E, ... (except 5 and 7, all end with E)

Safe primes of the second kind: 3, 5, 11, 31, 51, 61, 111, 141, 1E1, 221, 291, 2E1, 321, 391, 431, 471, 481, 511, 531, 611, 6E1, 771, 801, 841, 851, 871, 921, 971, X11, E31, E61, 1021, 1101, 1151, 11X1, 1201, 12X1, 1431, 1521, 1591, 1601, 1751, 17X1, 1831, 1931, 1X41, 1X71, 1E01, 2051, 21E1, 23E1, 2421, 2501, 2571, 2581, 2631, 26X1, 2781, 2811, 2X31, 2E31, 2E51, 2E61, 3041, 3171, 3191, 3291, 3371, 35E1, 3621, 3661, 3671, 3721, 3801, 3821, 3831, 3X11, 3X31, 3E11, 4071, 4101, 4211, 4341, 4361, 43E1, 4441, 45X1, 4711, 47E1, 4831, 4911, 4991, 4X01, 4X91, 4E21, 5031, 5061, 5191, 5271, 5351, 5391, 5421, 5451, 5681, 5711, 5761, 5821, 5891, 5931, 5E91, 5EE1, 6071, 6331, 6351, 6411, 6521, 6561, 6671, 67X1, 6911, 6931, 6EX1, 7051, 7101, 7151, 7231, 7241, 7261, 7311, 7321, 7361, 7441, 7471, 7521, 7531, 76E1, 78E1, 7921, 7E01, 8081, 8091, 8431, 8541, 8641, 86E1, 8831, 8881, 8901, 89X1, 8X11, 8X81, 8X91, 9131, 9251, 9341, 9551, 9591, 9601, 9711, 9761, 9781, 9961, 9X41, 9X51, 9X71, 9EX1, X011, X081, X421, X511, X581, X5E1, X631, X661, X691, X711, X721, X791, X841, X8X1, X951, XX61, E171, E301, E331, E4E1, E561, E571, E5E1, E941, EX71, EE41, ... (except 3 and 5, all end with 1)

Pierpont primes (also class 1− primes): 2, 3, 5, 7, 11, 15, 17, 31, 61, 81, 91, 117, 141, 195, 301, 347, 401, 541, 801, 901, X17, 1601, 1831, 2001, 2301, 6001, 7141, X161, X801, 1X947, 26461, 31E15, 69001, 71401, X1601, 140001, 1X9461, 264601, 300001, 31E141, 346001, 400001, 48X801, 600001, 714001, 800001, X80001, ...

Class 1+ primes (also Pierpont primes of the second kind): 2, 3, 5, 7, E, 15, 1E, 27, 3E, 45, 5E, 8E, X7, 13E, 27E, 2EE, 45E, 5EE, 68E, 7EE, 15EE, 2645, 367E, 3EEE, 48X7, 508E, 7715, 8EEE, 115EE, 13EEE, 2EEEE, 367EE, 63X27, 68EEE, 7EEEE, 1227EE, 1322EE, 193EEE, 1X945E, 1EEEEE, 2134X7, 31E13E, 3EEEEE, 433115, X15EEE, ...

Primes by property Edit

Balanced primes: 5, 45, 111, 125, 157, 195, 19E, 271, 3XE, 415, 427, 465, 511, 66E, 695, 77E, 797, 82E, 85E, 95E, X5E, 1017, 1021, 112E, 13X7, 1495, 1671, 181E, 186E, 1XE7, 1E01, 2131, 21E1, 23X5, 2675, 26E5, 27E1, 2841, 286E, 2X81, 2E57, 2E61, 309E, 314E, 3155, 3277, 343E, 3621, 375E, 37X5, 37XE, 3827, 3831, 3E7E, 4055, 442E, 447E, 463E, 4655, 4845, 5061, 508E, 5531, 5595, 5867, 5E25, 617E, 6201, 6345, 6657, 672E, 67X1, 6957, 69EE, 6X7E, 6XX5, 7295, 7317, 7347, 739E, 73X5, 7521, 7611, 766E, 7761, 7955, 795E, 84EE, 864E, 8655, 8935, 8961, 8X41, 8E4E, 915E, 9185, 918E, 9257, 9261, 9395, 947E, 960E, 965E, 9707, 974E, 986E, 9975, 99E7, 9X47, X03E, X107, X145, X14E, X3E7, X661, X667, X745, X801, XX0E, E31E, E331, E337, E3E5, E417, E50E, E665, E777, E78E, E801, E835, E937, EX61, EEE7, ...

Isolated primes: 2, 1E, 31, 3E, 45, 57, 67, 6E, 75, 81, 95, X7, XE, 111, 117, 11E, 125, 157, 167, 175, 18E, 195, 19E, 1E1, 205, 217, 225, 237, 241, 255, 25E, 267, 271, 277, 27E, 285, 291, 295, 2X1, 307, 30E, 315, 321, 32E, 33E, 347, 34E, 357, 35E, 365, 391, 397, 3X5, 3XE, 401, 40E, 415, 427, 431, 447, 45E, 465, 481, 485, 48E, 497, 4X5, 4E1, 4EE, 507, 511, 517, 51E, 527, 531, 535, 541, 545, 557, 565, 59E, 5E1, 5EE, 611, 61E, 637, 63E, 647, 655, 661, 665, 66E, 675, 687, 68E, 695, 69E, 6X7, 6E1, 701, 705, 727, 751, 767, 775, 77E, 785, 791, 797, 7X1, 80E, 817, 825, 82E, 835, 841, 851, 855, 85E, 871, 881, 88E, 8XE, 901, 90E, 927, 955, 95E, 965, 971, 987, 995, 9X7, 9E5, 9EE, X07, X17, X27, X45, X4E, X5E, X6E, X77, X87, X91, X95, X9E, XX7, XXE, XE7, XEE, E11, E15, E25, E37, E45, E61, E67, E91, EX5, ...

Gaussian primes with no imaginary part: 3, 7, E, 17, 1E, 27, 37, 3E, 4E, 57, 5E, 67, 6E, 87, 8E, X7, XE, E7, 107, 117, 11E, 12E, 13E, 147, 157, 167, 16E, 17E, 18E, 19E, 1X7, 1E7, 217, 21E, 237, 24E, 25E, 267, 277, 27E, 2XE, 2EE, 307, 30E, 327, 32E, 33E, 347, 34E, 357, 35E, 377, 397, 3XE, 3E7, 40E, 41E, 427, 437, 447, 457, 45E, 46E, 48E, 497, 4EE, 507, 517, 51E, 527, 557, 577, 587, 58E, 59E, 5E7, 5EE, 617, 61E, 637, 63E, 647, 66E, 687, 68E, 69E, 6X7, 70E, 71E, 727, 737, 747, 767, 76E, 77E, 797, 7EE, 80E, 817, 82E, 85E, 867, 88E, 8X7, 8XE, 8E7, 907, 90E, 91E, 927, 95E, 987, 9X7, 9XE, 9EE, X07, X0E, X17, X27, X37, X3E, X4E, X5E, X6E, X77, X87, X9E, XX7, XXE, XE7, XEE, E1E, E2E, E37, E67, E6E, E97, EE7, ... (exactly the primes end with 7 or E, plus the prime 3)

Eisenstein primes with no imaginary part: 2, 5, E, 15, 1E, 25, 35, 3E, 45, 4E, 5E, 6E, 75, 85, 8E, 95, XE, E5, 105, 11E, 125, 12E, 13E, 145, 16E, 175, 17E, 18E, 195, 19E, 1X5, 1E5, 205, 21E, 225, 24E, 255, 25E, 27E, 285, 295, 2XE, 2EE, 30E, 315, 325, 32E, 33E, 34E, 35E, 365, 375, 3X5, 3XE, 3E5, 40E, 415, 41E, 435, 455, 45E, 465, 46E, 485, 48E, 4X5, 4EE, 51E, 535, 545, 565, 575, 585, 58E, 59E, 5E5, 5EE, 615, 61E, 63E, 655, 665, 66E, 675, 68E, 695, 69E, 705, 70E, 71E, 735, 745, 76E, 775, 77E, 785, 7EE, 80E, 825, 82E, 835, 855, 85E, 865, 88E, 8X5, 8XE, 8E5, 905, 90E, 91E, 955, 95E, 965, 995, 9XE, 9E5, 9EE, X0E, X35, X3E, X45, X4E, X5E, X6E, X95, X9E, XXE, XEE, E15, E1E, E25, E2E, E45, E6E, E95, EX5, EE5, ... (exactly the primes end with 5 or E, plus the prime 2)

Primes by integer sequence Edit

Fibonacci primes: 2, 3, 5, 11, 75, 175, E11, 14701, 209705, 101214X05, 6XE079201, 65314430EX65E975, 114E6897750E2413967642E775, 1808455E826E4875E104E935611, ... (corresponding n: 3, 4, 5, 7, E, 11, 15, 1E, 25, 37, 3E, 6E, XE, E5, 25E, 2EE, 301, 315, 365, 3E5, 3E7, 1877, 2897, 314E, 547E, 5725, 8427, 12961, 15971, 189EE, 1985E, 25501, 3E43E, 50867, 632E1, 7184E, 9846E, 171E6E, 18E045, 245561, 2476X1, 251E47, 38E0X5, 4276E5, 51EE9E, 66X91E, 72E52E, 7XE381, E80915, 1105641, 11510EE, ...)

Lucas primes: 2, 3, 7, E, 25, 3E, 147, 375, 133E, 2097, 54E1, 1012125, 16110875, X3EE4197, 13550121EE, 1E13219XX0E, 765567331175, 65313097E632EE, 2125622462066325, 8E783E484E757235E2X497, ... (corresponding n: 0, 2, 4, 5, 7, 8, E, 11, 14, 15, 17, 27, 31, 35, 3E, 45, 51, 5E, 67, 95, 221, 255, 35E, 431, 435, 5EE, 775, 955, 292E, 2935, 3477, 4591, 4X97, 622E, 710E, 80E7, 8441, E325, 18621, 1934E, 2190E, 25741, 284XE, 3E31E, 43EE5, 46X5E, 69075, 7184E, 78395, 89E55, 93981, 9934E, 1472E1, 168261, 194875, 218045, 238377, 258E2E, 265325, 26909E, 275265, 29466E, 375961, 428861, ..., 938885, ...)

Primes by formula (advanced) Edit

Cullen primes: 3, 228XX826096254651719X23EE763891638807X9941, ... (Exponents: 1, E9, 2889, 342E, 39XE, X854, 16830, 16959, 2X634, 44689, 107X43, 1550X3, 1E2X63, 554064, 2152430, 22X1809, ...)

Generalized Cullen primes base 10: 11, 800000001, 1870000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001, ... (Exponents: 1, 8, 187, 210X, 291E, E551, 9089E, ...)

Woodall primes: 7, 1E, 27E, 62XE99E13E, 5170X231E5347E65341227E, 256906X1X93096E8934X7EEEE, E78E96E9X8990239343E38X49714532627, 1X18847031134125027730570E50X9802453E, 5469022107331XE3E92940XE5XE5287E3522094E562620E577269239159591809061593E, 246227E17758206E307E1765E8E7X50599774623585059X080319XE1710457X44357X927709498795E08266X2E67832335242E67, 365X48990898E4E4X396E7913152X9X81X9584X46072466E2077971460X2186487417163511191134E1182E08006E5035371561881227E, 23E9E5X9079858XX1141341613882X1X2842146X9371X254E027512E915917E7X863E26495E107E6X4594X47EE1645E9988X72886748805EE52E249682273E0E313E, 2324525967619934E016689XE7X29X068333E3268981449E1461E45477479031306E1937X76026E810002705195250483XXE5000870307128X17460X4X990964564409492E5700EX27, 1555661818518209873645E8X9185561E7X3613096X99E178620297461740444X06587X713E8941X452484803744E58X0828EE3790EX12643895681E51X84X4301362X8X92X27E3193425808EXE51108X90E3E57E8462012X21E5286461E794997735X63229X601120367, E925161E2E510067097519E2E84EXX5987281750E44037563353345194146E998639EX62E4815616122764E2356XX666E28118E50E1XX606366284614EE2E94E6702626786416572366977EE4E712X4X211X17158479X666X155EX58665246919640342487EE216771305980790X301XX316453E, ... (Exponents: 2, 3, 6, 26, 63, 69, 97, X3, 189, 262, 280, 326, 368, 527, 586, 30X8, 45X3, 5623, 71E7, 91X6, XE19, 11363, 11391, 49172, 6X922, 73493, 282053, 497803, 512443, 5X9497, 811608, 962396, 130EX18, 58476X2, ...)

Generalized Woodall primes base 10: E, 5EEEEEE, 36EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE, 126EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE, 584EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE, 639EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE, 804EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE, ... (Exponents: 1, 6, 37, 127, 585, 63X, 805, 7E58, 13788, 35641, E107X, ...)

Carol primes: 7, 3E, 167, 2367, 93EE, 425767, 5748367, 25E6X453E, 11399X08367, 45333853EEE, 5E045358193E, X633XE223313EE, 120452709605E13E, 55755291252219109E376119E13EEEE, E09090696E932075E0635E0EX57X27379EE36462215937E7955XEE0E03372X229184193E, 4E00403031294XE3E6X9677133X1X5XE5938E966567713E3566772176X2024630924E48367, ... (Exponents: 2, 3, 4, 6, 7, X, 10, 13, 16, 17, 19, 21, 23, 47, X9, E0, 113, 123, 127, 223, 230, 25X, 289, 303, 556, X17, EX3, 1837, 38X6, 8329, 1X6E0, 25X71, 4X000, 526X7, 54261, 85859, 8E490, XE279, 100099, 102E97, 211177, 276216, 29220X, 296693, ...)

Generalized Carol primes base 10: EE9EEE, EEEEEEEEEEEEEEEEEEEEEEEEEEEE9EEEEEEEEEEEEEEEEEEEEEEEEEEEEE, EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE9EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE, ... (Exponents: 3, 25, 43, 4640, 8E40, 11106, 14474, 2325X, 33X03, ...)

Kynea primes: 7, 1E, 67, 767, 3227E, 108367, 575593E, 25E748367, 33E5711767, 1139X23313E, 5E0456348367, 7X85E2E7E9767, 1204527205X08367, 839365136626E4367E, 30XE3837514E8620E32XEX4E48367, 1E063X179445518X36939E74598562E0X5767, 39573928367X009E92E168X49918435E95604658456348367, ... (Exponents: 1, 2, 3, 5, 8, 9, 10, 13, 15, 16, 19, 1E, 23, 28, 43, 55, 73, 130, 182, 32E, 34E, 359, 363, 3X3, 413, 488, 568, 752, E56, 1765, 1X95, 2535, 2E95, 377E, 3825, 5X08, 5EEE, 19523, 22669, 34140, 4E343, 51690, 53020, 5401E, 116E85, 159X65, 161756, 193998, 25E76E, 27X972, ...)

Generalized Kynea primes base 10: 11E, 101EE, 100000001EEEEEEEE, 1000000000000000000000000000000000000000000000000000000000001EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE, ... (Exponents: 1, 2, 8, 50, 369, 733, 4091, 4416, 39776, ...)

Factorial primes for the "plus 1" side: 2, 3, 7, 11450001, E4E8026182XX54600000000001, E2X2404XE6766712X7103EE00000000000000001, 9191979293081341908855X44158000000000000000001, 93E0XX18344X7707494813X4X3658692E4XE459X005720X393E1E895789251440000000000000000000000000000000001, 85547X148437X04672E11854313324385741X16951062E7X41725036074630006EXE3400000000000000000000000000000000001, 3E239XX0E43479978EE5XX85055E725398E5X5220206E071326EE94112793EE9E88E84127E1218569178XE64E0275E496E8310840982802591937482380000000000000000000000000000000000000000000000000000001, ... (corresponding n: 1, 2, 3, E, 23, 31, 35, 61, 65, 98, 10X, 228, 244, 293, 2E7, 608, X31, 3838, 1371E, 53837, 72E15, ...)

Factorial primes for the "minus 1" side: 5, 1E, 4EE, 2XEE, 1144EEEEE, 14X8E9EEEEE, 114XE1X34X9436E532EEEEEEEEEEEEE, 7845E61618E173X9787EEEEEEEEEEEEEE, 1920447X1X9675188629EEEEEEEEEEEEEEE, 2E703493686EX8X5E16530789EEEEEEEEEEEEEEEEE, 228108E4732X576E17E37572X947418044626404X10717135823863XX6017E46938E11954122X3EX323609378205EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE, ... (corresponding n: 3, 4, 6, 7, 10, 12, 26, 28, 29, 32, 7X, 11X, 230, 277, 331, 396, 692, 1177, 2043, 210X, 4005, 10520, 18172, 46872, 4E768, 71693, X0457, ...)

Primorial primes for the "plus 1" side: 3, 7, 27, 157, 1407, 32X53376557, ... (corresponding p: 2, 3, 5, 7, E, 27, 277, 70E, 711, 1655, 1X51, 276E, 292E, 6825, 7X95, X877, 11935, 11XX5, 20515, 7047E, 158087, 16XE01, ...)

Primorial primes for the "minus 1" side: 5, 25, 1405, 15465, 2X1598X57E0035, 8416X57X92X0XE1770E92682E662EX05, ... (corresponding p: 3, 5, E, 11, 35, 75, 225, 241, 6X7, 1101, 1231, 1461, 2451, 25X1, 279E, 3975, 7661, 9231, 348031, 44E5E1, ...)

Primes (or other related numbers) with base-dependent property Edit

Palindromic primes: 2, 3, 5, 7, E, 11, 111, 131, 141, 171, 181, 1E1, 535, 545, 565, 575, 585, 5E5, 727, 737, 747, 767, 797, E1E, E2E, E6E, 10301, 10401, 10601, 11111, 11411, 11511, 11811, 11911, 11X11, 11E11, 12421, 12X21, 12E21, 13631, 13831, 13931, 13X31, 13E31, 14041, 14X41, 15051, 15151, 15451, 16061, 16161, 17071, 17371, 17471, 17571, 17971, 17E71, 18381, 18681, 18881, 18X81, 18E81, 19191, 19491, 19591, 19891, 19991, 1X1X1, 1X3X1, 1X4X1, 1E0E1, 1E5E1, 50605, 50705, 50E05, 51715, 51915, 52125, 52225, 52425, 52925, 53135, 53435, 53735, 54245, 54645, 54745, 55855, 55E55, 56165, 56765, 56965, 57175, 57875, 58385, 58885, 58985, 59195, 59295, 59495, 59695, 59995, 59E95, 5X1X5, 5X4X5, 5X6X5, 5E2E5, 5E4E5, 5E7E5, 5E9E5, 70107, 70507, 70607, 70E07, 71317, 71X17, 71E17, 72027, 72127, 72227, 72627, 72827, 72E27, 73037, 73137, 73637, 73837, 74247, 74547, 74847, 75357, 75557, 75657, 75X57, 75E57, 76067, 76267, 76567, 77177, 77277, 77377, 77E77, 78087, 78187, 78587, 78787, 78887, 78E87, 79697, 79897, 7X1X7, 7X2X7, 7X7X7, 7E0E7, 7E1E7, 7E2E7, 7EEE7, E010E, E030E, E090E, E0X0E, E101E, E151E, E181E, E1E1E, E252E, E262E, E303E, E333E, E363E, E414E, E454E, E484E, E4X4E, E505E, E585E, E595E, E5X5E, E606E, E616E, E686E, E696E, E6E6E, E707E, E737E, E7X7E, E818E, E848E, E858E, E919E, E939E, EX6XE, EX9XE, EXXXE, EE1EE, EE9EE, ... (11 is the only palindromic prime with an even number of digits, since all palindromic numbers with an even number of digits are divisible by 11)

Palindromic squares: 0, 1, 4, 9, 121, 484, 10201, 12321, 14641, 16661, 16E61, 40804, 41414, 44944, 160061, 1002001, 102X201, 1093901, 1234321, 148X841, 4008004, 445X544, 49XXX94, 100020001, 102030201, 104060401, 1060E0601, 121242121, 123454321, 125686521, 1420E0241, 1444X4441, 1468E8641, 14X797X41, 1621E1261, 163151361, 1XX222XX1, 400080004, 404090404, 410212014, 4414X4144, 4456E6544, 496787694, 963848369, 1642662461, 10000200001, 10221412201, 10444X44401, 12102420121, 12345654321, 141E1E1E141, 14404X40441, 16497679461, 40000800004, 40441X14404, 41496869414, 44104X40144, 49635653694, ... (there are no 4-digit palindromic squares)

Emirps: 15, 51, 57, 5E, 75, E5, 107, 117, 11E, 12E, 13E, 145, 157, 16E, 17E, 195, 19E, 1X7, 1E5, 507, 51E, 541, 577, 587, 591, 59E, 5E1, 5EE, 701, 705, 711, 751, 76E, 775, 785, 7X1, 7EE, E11, E15, E21, E31, E61, E67, E71, E91, E95, EE5, EE7, 1005, 1011, 1017, 1021, 1061, 1087, 10E1, 10E7, 10EE, 1101, 1107, 1125, 112E, 114E, 1167, 118E, 11X1, 11X5, 11E7, 1201, 1245, 1257, 125E, 1261, 1297, 1317, 133E, 1391, 1395, 1405, 1437, 143E, 1467, 1475, 149E, 14E1, 14E5, 14EE, 150E, 1517, 1587, 15XE, 1601, 1621, 1625, 1655, 1657, 165E, 1667, 1677, 167E, 1681, 168E, 1735, 1747, 1797, 17X1, 181E, 184E, 1861, 1865, 1915, 1931, 1937, 1947, 19E7, 1X11, 1X1E, 1X2E, 1X45, 1X6E, 1X71, 1X75, 1XE1, 1E01, 1E0E, 1E17, 1E27, 1E2E, 1E41, 1E4E, 1E67, 1E7E, 1EX1, 1EE5, 5001, 5007, 501E, 5025, 5041, 5045, 5057, 5077, 5095, 513E, 5147, 5155, 5165, 516E, 5191, 51E7, 5205, 5211, 521E, 5261, 5297, 52XE, 52E7, 5317, 5347, 5367, 5371, 5375, 5385, 53X7, 5405, 5421, 5455, 54X1, 54X5, 550E, 5515, 5545, 555E, 5561, 5585, 5587, 559E, 55E5, 5615, 562E, 566E, 5681, 5697, 56X7, 56E7, 5727, 5735, 5741, 579E, 57X1, 57EE, 5835, 583E, 5855, 5857, 587E, 58XE, 58E7, 5905, 5927, 5931, 595E, 59X5, 5X11, 5X45, 5X4E, 5X5E, 5X6E, 5X95, 5XEE, 5E17, 5E1E, 5E2E, 5E3E, 5E41, 5E55, 5E8E, 5E9E, 5EE1, 7005, 7011, 703E, 7057, 7097, 70EE, 7101, 7131, 7135, 7151, 716E, 7187, 71E1, 71E5, 7275, 727E, 7295, 72X7, 72E1, 730E, 7341, 7377, 7391, 739E, 7415, 7435, 7471, 7477, 7491, 749E, 74X7, 7505, 7507, 7521, 7561, 7577, 7585, 7611, 761E, 7635, 7641, 7661, 7687, 76E1, 76E7, 7705, 7737, 773E, 7747, 7757, 7761, 776E, 7801, 7817, 7851, 7855, 7867, 789E, 7907, 7921, 7925, 794E, 795E, 7965, 7971, 79XE, 7X27, 7X35, 7X47, 7X65, 7XEE, 7E01, 7E11, 7E15, 7E25, 7E5E, 7E65, 7E67, 7E6E, 7E85, 7E91, 7E9E, E01E, E037, E051, E055, E05E, E0E1, E105, E10E, E125, E167, E181, E18E, E1X1, E1E5, E211, E265, E27E, E2X1, E2XE, E2E1, E2E5, E307, E315, E331, E341, E377, E385, E3E5, E3EE, E411, E481, E497, E4X5, E4E1, E50E, E521, E555, E561, E595, E597, E5X5, E5E7, E615, E617, E665, E677, E6X1, E6X5, E6E7, E727, E72E, E761, E785, E7XE, E7E1, E811, E81E, E861, E8E5, E937, E941, E947, E955, E975, E987, E9E5, E9E7, EX25, EX2E, EX51, EX7E, EX85, EX97, EE01, EE07, EE3E, EE41, EE75, EEX5, EEX7, ...

Smarandache primes: 12345, 123456789XE101112131415, 123456789XE101112131415161718191X1E202122232425262728292X2E303132333435363738393X3E404142434445464748494X4E, 123456789XE101112131415161718191X1E202122232425262728292X2E303132333435363738393X3E404142434445464748494X4E505152535455565758595X5E606162636465666768696X6E707172737475767778797X7E808182838485868788898X8E909192939495969798999X9EX0X1X2X3X4X5X6X7X8X9XXXEE0E1E2E3E4E5E6E7E8E9EXEE10010110210310410510610710810910X10E11011111211311411511611711811911X11E12012112212312412512612712812912X12E13013113213313413513613713813913X13E14014114214314414514614714814914X14E150151, ...

Smarandache numbers: 1, 12, 123, 1234, 12345, 123456, 1234567, 12345678, 123456789, 123456789X, 123456789XE, 123456789XE10, 123456789XE1011, 123456789XE101112, 123456789XE10111213, 123456789XE1011121314, 123456789XE101112131415, 123456789XE10111213141516, 123456789XE1011121314151617, 123456789XE101112131415161718, 123456789XE10111213141516171819, 123456789XE101112131415161718191X, 123456789XE101112131415161718191X1E, 123456789XE101112131415161718191X1E20, ...

Smarandache–Wellin primes: 2, 2357E11, ...

Smarandache–Wellin numbers: 2, 23, 235, 2357, 2357E, 2357E11, 2357E1115, 2357E111517, 2357E1115171E, 2357E1115171E25, 2357E1115171E2527, 2357E1115171E252731, 2357E1115171E25273135, 2357E1115171E2527313537, 2357E1115171E25273135373E, 2357E1115171E25273135373E45, 2357E1115171E25273135373E454E, 2357E1115171E25273135373E454E51, 2357E1115171E25273135373E454E5157, 2357E1115171E25273135373E454E51575E, 2357E1115171E25273135373E454E51575E61, 2357E1115171E25273135373E454E51575E6167, 2357E1115171E25273135373E454E51575E61676E, 2357E1115171E25273135373E454E51575E61676E75, ...

Full-reptend primes: 5, 7, 15, 27, 35, 37, 45, 57, 85, 87, 95, X7, E5, E7, 105, 107, 117, 125, 145, 167, 195, 1X5, 1E5, 1E7, 205, 225, 255, 267, 277, 285, 295, 315, 325, 365, 377, 397, 3X5, 3E5, 3E7, 415, 427, 435, 437, 447, 455, 465, 497, 4X5, 517, 527, 535, 545, 557, 565, 575, 585, 5E5, 615, 655, 675, 687, 695, 6X7, 705, 735, 737, 745, 767, 775, 785, 797, 817, 825, 835, 855, 865, 8E5, 8E7, 907, 927, 955, 965, 995, 9X7, 9E5, X07, X17, X35, X37, X45, X77, X87, X95, XE7, E25, E37, E45, E95, E97, EX5, EE5, EE7, 1005, 1017, 1027, 1047, 1087, 10E7, 1105, 1107, 1115, 1125, 1135, 1165, 1185, 11X5, 11X7, 11E7, 1245, 1297, 12X7, 12E5, 1345, 1365, 1367, 1395, 13E5, 1405, 1425, 1437, 1445, 1457, 1465, 1475, 1495, 14E5, 1525, 1577, 1585, 1615, 1625, 1655, 1685, 1697, 16X7, 16E7, 1715, 1727, 1735, 1745, 1747, 1755, 1757, 1785, 1797, 17X5, 1815, 1825, 1865, 1875, 18E7, 1915, 1947, 1955, 19E7, 1X17, 1X35, 1X75, 1X77, 1X87, 1E07, 1E15, 1E17, 1E65, 1E67, 1E85, 1EE5, 2005, 2007, 2047, 2065, 2077, 2085, 2087, 20X5, 20E5, 2115, 2165, 2185, 21X7, 21E7, 2215, 2245, 2265, 2275, 2287, 2325, 2327, 2335, 2337, 2347, 2367, 2385, 2397, 23X5, 23E7, 2417, 2435, 2457, 2467, 2485, 24X5, 2535, 2537, 2545, 2555, 2565, 2595, 2615, 2625, 2637, 2645, 2665, 2675, 2685, 2687, 26E5, 2717, 2725, 2737, 2745, 2747, 2787, 27E7, 2825, 2835, 2837, 2847, 2855, 2895, 28X5, 2907, 2927, 2935, 2955, 2967, 29X5, 29E5, 2X35, 2X47, 2X65, 2X77, 2X87, 2X95, 2X97, 2XX5, 2XX7, 2E17, 2E57, 2E67, 2E95, 2EX7, 2EE7, 3005, 3037, 3045, 3065, 3075, 3095, 30X5, 3105, 3117, 3145, 3155, 3175, 3187, 3195, 3205, 3225, 3227, 3247, 3277, 3285, 3307, 3335, 3337, 3345, 3357, 3365, 3385, 33X7, 3427, 3435, 3445, 3457, 3467, 3475, 3477, 3485, 34E5, 3517, 3565, 3587, 35X5, 35E7, 3605, 3617, 3635, 3645, 3655, 3697, 36X5, 3705, 3717, 3725, 3747, 3755, 3765, 37X5, 37E5, 3807, 3815, 3837, 3845, 3895, 38E5, 3935, 3975, 3977, 3X25, 3X55, 3X65, 3X67, 3X95, 3E47, 3E55, 3E75, 3E85, 3E97, 3EE7, 4005, 4055, 4067, 4085, 4097, 4145, 4155, 4187, 41E5, 4217, 4225, 4245, 4305, 4307, 4375, 4395, 43E5, 4417, 4425, 4435, 4445, 4475, 4485, 4487, 4515, 4535, 4557, 4577, 45X5, 45X7, 4615, 4635, 4645, 4655, 4665, 4685, 4687, 4707, 4715, 4725, 4727, 4775, 47E7, 4805, 4815, 4825, 4845, 4887, 4925, 4955, 4967, 4975, 4987, 4X15, 4X65, 4X67, 4X97, 4E05, 4E15, 4E35, 4E65, 4E85, 4E95, 5025, 5067, 5095, 5117, 5145, 5155, 5167, 5187, 5205, 5235, 5267, 5285, 5295, 5297, 52E7, 5327, 5347, 5355, 5367, 5385, 5397, 53X7, 53E5, 5405, 5435, 5455, 5457, 5465, 5487, 54X5, 54X7, 5515, 5537, 5545, 5565, 5585, 5587, 5595, 55E5, 5607, 5615, 5625, 5637, 5697, 56X5, 5725, 5727, 5735, 5777, 5785, 57E7, 5817, 5835, 5855, 5857, 58E5, 5985, 59X5, 5X27, 5X45, 5X67, 5X75, 5X85, 5X95, 5E25, 5E37, 5E55, 5E67, 5E75, 5E95, 6027, 6055, 6075, 6077, 6115, 6117, 6147, 6165, 6175, 6185, 61X7, 6207, 6227, 6245, 6247, 6265, 6297, 62X5, 6327, 6345, 6357, 6375, 6377, 63E5, 63E7, 6425, 6437, 6487, 6495, 64X5, 64E7, 6505, 6525, 6527, 6575, 65X5, 6607, 6635, 6657, 6675, 66E5, 6715, 6757, 6795, 6797, 6807, 6825, 6857, 6865, 6885, 6895, 68E5, 6915, 6945, 6947, 6957, 6995, 6997, 69X5, 69E5, 6X05, 6X17, 6X47, 6X75, 6X85, 6XX5, 6E07, 6E15, 6E25, 6E77, 7005, 7015, 7045, 7055, 7085, 7097, 7125, 7135, 7175, 71E5, 71E7, 7215, 7225, 7245, 7257, 7275, 7287, 7295, 7335, 7377, 73X5, 7415, 7427, 7435, 7477, 74E5, 7505, 7565, 7577, 7585, 7587, 75X5, 75E5, 7607, 7617, 7635, 7665, 7675, 7705, 7747, 7767, 7795, 7797, 77X5, 7817, 7855, 7867, 7875, 7877, 7907, 7955, 7965, 7X15, 7X27, 7X35, 7X47, 7X65, 7X95, 7E15, 7E25, 7E27, 7E35, 7E65, 7E67, 7EX7, 8005, 8007, 8015, 8045, 8047, 8065, 8067, 8075, 80E7, 8125, 8127, 8135, 8137, 8155, 8175, 8195, 8197, 81E7, 8227, 8235, 8255, 82E5, 82E7, 8355, 8357, 8377, 8395, 8417, 8427, 8467, 8475, 8487, 84E5, 8505, 8507, 8515, 8517, 8565, 8575, 8595, 85X5, 85E7, 8625, 8645, 8655, 8667, 8677, 86X5, 86E7, 87X5, 87E5, 8835, 8865, 8885, 8897, 88X5, 8915, 8925, 8935, 8945, 8957, 8967, 8995, 8X05, 8X37, 8X55, 8X95, 8XX7, 8XE5, 8E05, 8E17, 8E27, 8E55, 8E75, 8E87, 9007, 9015, 9025, 9027, 9065, 9127, 9135, 9137, 9145, 9165, 9177, 9185, 9195, 9217, 9257, 9307, 9315, 9365, 9367, 9375, 9387, 9395, 9455, 9475, 9485, 94X5, 94E7, 9525, 9565, 9575, 9577, 9605, 9615, 9655, 9695, 96E5, 9707, 9775, 9795, 97E7, 9837, 9847, 98X5, 98X7, 98E7, 9927, 9935, 9945, 9967, 9975, 99E7, 9X25, 9X35, 9X47, 9X85, 9X97, 9XX5, 9E27, 9E45, 9E57, 9E87, X017, X035, X045, X067, X095, X0E5, X0E7, X117, X137, X145, X155, X157, X197, X205, X225, X227, X235, X275, X277, X285, X295, X2E7, X315, X365, X397, X3X5, X3X7, X457, X485, X487, X4X5, X535, X565, X575, X5X7, X605, X657, X667, X675, X695, X6X5, X735, X745, X777, X795, X7X5, X7E7, X817, X825, X875, X877, X907, X915, X935, X987, X997, X9X5, X9E5, XX25, XX45, XX65, XE05, XE45, XE47, XE97, E005, E025, E037, E055, E095, E105, E125, E127, E147, E157, E1E5, E205, E265, E277, E2X5, E2X7, E2E5, E307, E315, E325, E337, E385, E387, E395, E3E5, E465, E495, E4X5, E527, E555, E577, E595, E5X5, E5E7, E615, E635, E647, E655, E665, E675, E677, E685, E6X5, E6E7, E705, E707, E727, E747, E777, E785, E795, E815, E835, E875, E885, E8E5, E917, E925, E937, E945, E955, E975, E9X7, E9E5, E9E7, EX25, EX85, EX97, EE07, EE75, EE85, EEX5, EEX7, ...

Unique primes: E, 11, 111, 11111, E0E1, EE01, 1111111111111111111, 24727225, E00E00EE0EE1, E0E0E0E0E1, EEEE0000EEEE0000EEEE0001, 100EEEXEXEE000101, EEE000000EEE000000EEEEEE000EEEEEE001, 10EEEXXXE011110EXXXE00011, EEEEEEEE00000000EEEEEEEE00000001, 100EEEXEE0000EEEXEE000101, EE00EE00EE00EE00EE00EE00EE00EE00EE00EE00EE01, 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111, 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111, E00E00E00E00E00E00E00E00E00E00E00E00EE0EE0EE0EE0EE0EE0EE0EE0EE0EE0EE0EE1, E00E00E00E00E00E00E00E00E00E00E00E00E00E0EE0EE0EE0EE0EE0EE0EE0EE0EE0EE0EE0EE0EE1, ... (Period lengths: 1, 2, 3, 5, X, 10, 17, 18, 19, 1X, 48, 50, 53, 5X, 68, 70, 78, 81, 91, 93, X3, 118, 139, 162, 1E0, 225, 255, 264, 282, 299, 320, 367, 450, 483, 4X5, 561, 669, 76X, 898, 8X0, ...)

Primes by class number of a field Edit

Heegner numbers: 1, 2, 3, 7, E, 17, 37, 57, 117 (no others)

Euler's "Lucky" numbers: 2, 3, 5, E, 15, 35 (no others)

Irregular primes: 31, 4E, 57, 85, 87, XE, 105, 111, 175, 195, 19E, 1X7, 1E7, 205, 217, 21E, 24E, 255, 277, 285, 295, 2X1, 2E1, 301, 325, 327, 32E, 34E, 377, 391, 397, 3X5, 401, 40E, 415, 427, 431, 435, 437, 447, 45E, 465, 46E, 481, 485, 48E, 497, 507, 527, 531, 535, 545, 565, 575, 577, 585, 58E, 59E, 611, 615, 61E, 655, 675, 68E, 745, 76E, 791, 7X1, 7EE, 801, 835, 841, 855, 865, 871, 8X7, 8XE, 8E7, 901, 905, 90E, 91E, 927, 95E, 971, 995, 9E1, 9EE, X37, X4E, X6E, X9E, E11, E21, E25, E2E, E31, E45, E67, E71, EE5, ...

Euler-irregular primes: 17, 27, 37, 3E, 51, 57, 5E, 67, 85, E5, E7, 105, 141, 167, 181, 18E, 19E, 1E1, 217, 21E, 251, 255, 25E, 271, 277, 2XE, 301, 325, 327, 34E, 365, 391, 3XE, 3E7, 401, 40E, 437, 485, 497, 4E1, 517, 527, 535, 541, 545, 577, 585, 611, 61E, 637, 655, 665, 687, 68E, 69E, 705, 70E, 71E, 727, 735, 737, 751, 7EE, 80E, 82E, 85E, 865, 867, 8X5, 8X7, 8XE, 8E7, 90E, 91E, 955, 971, 987, 995, 9X7, 9XE, 9E1, 9EE, X07, X11, X6E, X77, X9E, XEE, E15, E31, E45, E67, E91, E95, EE7, ...

Primes p with with class number h+ > 1 of

$ \zeta_p $

117, 13E, 171, 195, 1E1, 221, 251, 291, 295, 321, 34E, 375, 397, 401, 427, 447, 455, 4E1, 511, 535, 585, 58E, 591, 5E1, 5E5, 611, 661, 665, 675, 695, 701, 747, 751, 771, 7X1, 801, 865, 867, 901, 965, 971, 987, 9E1, X17, X41, XX7, E15, E95, E97, ...

Pseudoprimes Edit

Fermat pseudoprime base 2: 245, 3X9, 459, 781, 977, 1001, 1129, 1227, 1515, 1691, 1771, 1X91, 2401, 2641, 2643, 2861, 31E1, 39X1, 4731, 4995, 4XX9, 51X7, 5E31, 6161, 6661, 74X9, 7E51, 7E57, 8111, 8477, 9111, 9201, 9801, X9X9, XX01, E667, 11389, 11641, 12XX9, 14E91, 15521, 15X61, 16221, 16361, 16371, 17229, 18281, 18545, 1E0X1, 1E901, 20141, 20927, 23001, 24531, 24E11, 26561, 27E79, 29291, 2E165, 2E217, 30389, 31031, 317E1, 31941, 334E1, 36219, 37261, 37741, 3X771, 40285, 40501, 41581, 425X9, 43171, 43301, 44627, 447E5, 46461, 4X611, 50691, 52041, 55615, 57101, 5X361, 5E3XE, 61061, 63201, 63229, 63681, 67451, 72481, 7336E, 75219, 77289, 77795, 79X41, 79E95, 7E401, 83701, 85E31, 89325, 909E5, 91091, 94491, 95531, 95591, 9X081, 9E689, X0781, X2E19, X46X9, X4X31, X7231, X78X1, X9301, XE301, E0101, E2X21, E7575, 100701, 102221, 102675, 104887, 105727, 109285, 10X141, 111467, 111677, 1137X7, 113891, 115241, 116475, 117331, 118831, 1192E1, 11E959, 122367, 122461, 132231, 1342X1, 137401, 140819, 141461, 145101, 145761, 149595, 153055, 158521, 16846E, 16X2X1, 1713X7, 172XX1, 174361, 179361, 184717, 185301, 1872X9, 19015E, 194947, 197961, 197X61, 199629, 19972E, 1X1751, 1X4761, 1E0037, 1E2831, 1E5815, 1E6E01, 1E7691, 1E9855, 1E9991, 208691, 2092X5, 209867, 2148X9, 217281, 219091, 227X41, 229X35, 232101, 238601, 238811, 23EX15, 240E81, 244245, 244861, 251731, 255EE1, 259145, 260591, 262281, 267861, 26E641, 272581, 276105, 277E89, 278891, 279301, 281001, 281045, 2810X1, 283901, 285207, 289441, 289X6E, 28E841, 292331, 2X3231, 2X3801, 2X9861, 2X9E35, 2X9E85, 2E1XE1, 2E7491, 2E9307, 2E9X51, 2EX441, 2EE795, 301301, 306761, 311427, 311565, 31E501, 327391, 3355E5, 339701, 341179, 3450X1, 345551, 347101, 34X391, 351401, 351661, 361391, 362561, 3636E7, 374101, 3820E9, 382347, 390631, 39X291, 3E13X1, 3E5121, 401401, 405491, 410515, 4117X1, 414101, 414E77, 41X231, 428261, 429107, 429401, 429995, 433931, 438E65, 442481, 442761, 448317, 448921, 453111, 454601, 456071, 464X21, 467581, 46E381, 470471, 472921, 4769X7, 479E61, 484281, 496631, 497421, 4X2855, 501629, 504611, 504E35, 5162X9, 517137, 524561, 529897, 530301, 53E32E, 543731, 555681, 5557E1, 562E31, 5729X1, 574837, 575105, 585647, 591627, 595E6E, 5X3751, 5X4X47, 5X5761, 5X70E1, 5XEX81, 5E0081, 5E0189, 5E7589, 5EX0X9, 600601, 604531, 608521, 6087E7, 609811, 6141X1, 618E41, 619X57, 61E601, 61E861, 620065, 621831, 628797, 638301, 641E01, 6448E1, 6569X9, 65E001, 661881, 673241, 68E465, 696371, 6X6471, 6XE181, 6E5881, 6E8655, 702701, 707761, 716261, 72X981, 733341, 734445, 736749, 7409E7, 741361, 743721, 747371, 748861, 749031, 756961, 765X61, 773021, 775941, 7800E7, 7808X1, 7808E5, 795561, 7XE861, 7E9X91, 801801, 802401, 807E57, 80X471, 821901, 842349, 844841, 846931, 849101, 853971, 85E229, 85E401, 863731, 86E145, 8737E9, 875061, 8836X9, 8838X1, 885435, 888721, 892861, 894277, 8X4727, 8X88X9, 8E8201, 8E8601, 911001, 912495, 915171, 922031, 924559, 925729, 92X5X1, 93151E, 936E41, 942801, 954051, 9719E1, 984EX9, 988135, 994401, 994E37, 9X5301, 9EE945, X01E05, X08951, X0E491, X10X61, X12929, X1E5E5, X21231, X24661, X56705, X5X211, X61X61, X6288E, X67941, X68X61, X79005, X79241, X89421, XX5341, XE2091, XE3761, E05491, E05565, E0635E, E0E761, E19391, E21277, E28633, E2E201, E36X87, E44561, E63331, E6XX61, E6EE89, E7X161, E83691, E8X5X1, E99701, E9EX31, EX53X7, EE6607, EE6E15, ...

Fermat pseudoprime base 10: 55, 77, E1, EE, 101, 187, 275, 281, 4X7, 731, 777, 781, E55, 1001, 1111, 1117, 1221, 1361, 1515, 1691, 1771, 1887, 1E47, 2081, 2X91, 3131, 3267, 3421, 3611, 3795, 39X1, 51X7, 5301, 6161, 64E1, 7217, 7401, 7575, 7677, 7871, 7881, 7X41, 8181, 8327, 8761, 8805, 8921, 9201, 9647, X921, XX01, E1E1, E365, EX37, 10001, 10101, 10441, 11211, 11X91, 12387, 12X41, 13397, 13601, 14241, 14971, 14E91, 15117, 15961, 16277, 16371, 17501, 17675, 17905, 17977, 18211, 18921, 19741, 1X207, 1X347, 1X461, 1X537, 1X66E, 1E401, 1E647, 1E901, 202X1, 23001, 23391, 24221, 24531, 24E15, 26561, 26877, 268E7, 2X301, 2X987, 2XE91, 2E591, 30747, 31031, 31E41, 32455, 32691, 33331, 34521, 36751, 37001, 37741, 38015, 38191, 38417, 39721, 39877, 39E31, 3X011, 3X4X1, 3E991, 40285, 40501, 42X01, 43301, 43401, 434X7, 43681, 44627, 46461, 48407, 4X611, 4EE55, 50691, 52041, 53941, 53E01, 56827, 57101, 5X001, 5X245, 60071, 61061, 61381, 62291, 63001, 64101, 64461, 64601, 66067, 68575, 69X71, 70X17, 71X81, 73317, 73381, 74347, 755E1, 75801, 77141, 79E95, 7X401, 7XX17, 7XE41, 8042E, 81081, 82X85, 83701, 85E31, 89X21, 8E201, 90XX7, 91091, 92301, 93X01, 96455, 99231, 9X081, X17X7, X1X1E, X2515, X3501, X6747, X7041, X8241, X8941, XE301, E0101, E0X81, E2E81, E51E5, E6455, E7061, E7281, EE001, EEEEE, 101101, 101497, 102221, 107161, 108081, 108XX7, 10XE11, 10E717, 10E817, 111111, 113891, 115061, 115241, 117331, 118271, 11X047, 11E3E7, 11E401, 122461, 1225X1, 123321, 123401, 127577, 12E751, 132231, 132E51, 138791, 13X001, 13X4E5, 14073E, 141141, 141461, 144561, 144851, 144E7E, 145101, 14578E, 1460X7, 146161, 1467X1, 147541, 14XX71, 150015, 151371, 154785, 156947, 157081, 157531, 157X61, 158531, 159E61, 16544E, 166977, 16X791, 16EE61, 170691, 172XX1, 1754E1, 176601, 1778X1, 179361, 17X397, 182681, 185391, 186395, 1894X1, 190101, 191057, 194X81, 196495, 197X61, 19X315, 19EE31, 1X6901, 1X71X7, 1X8815, 1E2855, 1E5411, 1E6E01, 1E8671, 1E87X1, 1EX757, 1EEXX7, 205861, 2084X7, 208691, 20X181, 210401, 211981, 217281, 217815, 2179E7, 219091, 220E61, 227X41, 231091, 231761, 232017, 232101, 232475, 236115, 238601, 241X0E, 243321, 246191, 247477, 249341, 249EX7, 253761, 25X477, 260591, 262737, 2642E1, 264XX1, 264E47, 268515, 269777, 272201, 272727, 276105, 278901, 279247, 279301, 281001, 283901, 290X01, 293171, 298701, 299341, 299997, 2X9861, 2E0481, 2E1857, 2E315E, 2E3381, 2E6117, 2E9441, 2EE201, 300091, 301301, 304197, 306307, 308E31, 30E147, 313131, 319271, 31X8X1, 31E501, 320X17, 324867, 32X227, 336331, 337691, 339701, 342011, 342441, 343101, 3450X1, 347347, 3478E1, 348991, 349561, 350715, 351661, 355311, 35E681, 360691, 361391, 36428E, 369141, 36E107, 370X21, 3740X1, 388301, 396131, 399761, 39X821, 3X02X7, 3X5801, 3E1601, 3E7E61, 3EX201, 3EX277, 3EX541, 3EE637, 401401, 404691, 40E601, 410501, 412X1E, 414047, 414E77, 419E35, 41X231, 41E141, 420681, 4236X5, 428261, 42E377, 42E781, 431E01, 432251, 432985, 437261, 43X781, 442761, 4449X1, 446E81, 447437, 449401, 4512X1, 453E21, 458641, 459E31, 45X161, 461901, 464677, 4769X7, 477831, 482147, 482E81, 483841, 484991, 485281, 486687, 48X6X7, 493361, 496631, 498E11, 4X3981, 503427, 508091, 510847, 515151, 525141, 52X461, 52EX9E, 534501, 534947, 536701, 541541, 545677, 54663E, 548531, 54E211, 550055, 550891, 552X97, 555295, 562E31, 566661, 57E141, 584441, 591215, 598541, 5X5761, 5X5771, 5XEX81, 5E3261, 5E5X81, 600215, 605E61, 610061, 616161, 619X57, 61EX47, 621831, 630841, 638301, 641E01, 6448E1, 6486X7, 650301, 65E001, 65E461, 664231, 664EE5, 672991, 680055, 687201, 692601, 695535, 696371, 6X0735, 6X3361, 6X5001, 6E3187, 6E6091, 6EX501, 700007, 7022E1, 702955, 7036E7, 707761, 713001, 715681, 716261, 71X681, 724207, 729991, 72E901, 738X41, 739X17, 73E651, 742901, 7517X1, 753301, 756961, 75E121, 761877, 767X71, 769191, 76XX01, 776E5E, 7808E5, 781375, 788541, 78X441, 798491, 7XE855, 7E0551, 7E5517, 7E9X91, 801801, 803E81, 807717, 80X471, 810081, 818181, 81XE71, 821901, 833327, 836315, 836517, 838801, 83E7X1, 841271, 845E31, 846147, 84X211, 853971, 854831, 85E401, 86X351, 872197, 882291, 882X1E, 883851, 88E277, 892281, 892X77, 893391, 893557, 8X6291, 8X9941, 8E9001, 8EX301, 8EX655, 906E91, 91E481, 920075, 922031, 924391, 925881, 928767, 938601, 9456X7, 9484E7, 948991, 949981, 958X85, 95E047, 95E90E, 970001, 994401, 9X1561, 9X5301, 9E7951, X03531, X03901, X07521, X0XX01, X0E491, X13X91, X14161, X19141, X21231, X28617, X30801, X31701, X42601, X57337, X65381, X68X61, X6X047, X71421, X77221, X79241, X96X47, X986X7, X99575, XX0X21, XX5341, XXXE01, XE4E01, XE4E17, E00041, E00EE1, E024X7, E05565, E0E0E1, E21911, E30EX7, E318XE, E33X81, E3X081, E40E55, E41501, E53637, E61E61, E63331, E64X21, E70681, E7X161, E83755, E89691, E8X397, E8XE31, E8E661, E94721, E99301, E9EX31, EX2XE1, EX7401, EXXX9E, EE4355, EEX481, EEE001, ...

Euler pseudoprimes base 2: 245, 3X9, 781, 1001, 1129, 1227, 1515, 1X91, 2401, 2861, 31E1, 39X1, 4995, 4XX9, 5E31, 6161, 74X9, 9111, 9201, 9801, X9X9, 12XX9, 14E91, 15521, 16371, 17229, 18281, 1E901, 20927, 23001, 24531, 24E11, 26561, 30389, 317E1, 31941, 37261, 37741, 3X771, 40285, 41581, 425X9, 43171, 44627, 50691, 55615, 57101, 61061, 63229, 63681, 67451, 72481, 77795, 79E95, 7E401, 83701, 85E31, 909E5, 94491, 95591, X0781, X46X9, X4X31, X7231, X78X1, X9301, E2X21, 102221, 102675, 104887, 10X141, 111467, 113891, 115241, 116475, 117331, 122461, 132231, 137401, 141461, 145101, 149595, 153055, 16X2X1, 172XX1, 179361, 1872X9, 197961, 197X61, 1X1751, 1E0037, 1E5815, 1E6E01, 1E7691, 1E9855, 209867, 2148X9, 217281, 219091, 227X41, 23EX15, 244245, 244861, 255EE1, 262281, 267861, 272581, 276105, 277E89, 278891, 279301, 281001, 281045, 283901, 28E841, 292331, 2X3231, 2X3801, 2X9861, 2X9E85, 2E7491, 2E9307, 2E9X51, 2EE795, 301301, 311565, 327391, 3355E5, 339701, 3450X1, 345551, 347101, 351401, 351661, 361391, 362561, 3636E7, 382347, 39X291, 3E13X1, 3E5121, 401401, 405491, 410515, 4117X1, 414101, 428261, 429401, 429995, 433931, 438E65, 442481, 442761, 456071, 467581, 470471, 472921, 479E61, 484281, 497421, 4X2855, 501629, 504611, 504E35, 5162X9, 529897, 530301, 53E32E, 555681, 5557E1, 562E31, 574837, 575105, 595E6E, 5X5761, 5XEX81, 5E0081, 5E0189, 5E7589, 5EX0X9, 600601, 608521, 6087E7, 609811, 618E41, 619X57, 61E601, 620065, 638301, 6448E1, 6569X9, 65E001, 661881, 68E465, 696371, 6XE181, 6E5881, 6E8655, 702701, 716261, 734445, 736749, 741361, 749031, 756961, 765X61, 775941, 7800E7, 7808X1, 7808E5, 7XE861, 7E9X91, 801801, 807E57, 842349, 844841, 849101, 85E229, 85E401, 875061, 8838X1, 888721, 892861, 8X4727, 8X88X9, 8E8201, 8E8601, 911001, 912495, 915171, 922031, 92X5X1, 93151E, 942801, 9719E1, 988135, 994401, 9X5301, 9EE945, X10X61, X67941, X68X61, X89421, XX5341, XE3761, E05491, E0635E, E0E761, E19391, E36X87, E83691, E9EX31, EX53X7, EE6607, ...

Euler pseudoprimes base 10: 55, 77, E1, 101, 187, 275, 281, E55, 1001, 1221, 1361, 1515, 1771, 2081, 3795, 51X7, 5301, 6161, 7401, 7677, 7871, 7881, 7X41, 8761, 8805, 9201, 9647, XX01, E365, 10001, 10101, 10441, 11X91, 12387, 12X41, 13397, 13601, 14241, 14E91, 15117, 15961, 16277, 16371, 17501, 17977, 18211, 18921, 19741, 1X207, 1X347, 1X461, 1E401, 1E901, 23001, 24531, 26561, 26877, 2X301, 2E591, 31031, 31E41, 32455, 32691, 33331, 37001, 37741, 39721, 39E31, 3X011, 3X4X1, 40285, 42X01, 43401, 434X7, 43681, 46461, 48407, 4EE55, 53941, 56827, 57101, 5X001, 5X245, 60071, 61061, 62291, 63001, 64101, 64461, 64601, 68575, 70X17, 73317, 73381, 75801, 77141, 79E95, 7X401, 7XX17, 7XE41, 8042E, 81081, 83701, 8E201, 91091, 92301, 93X01, 96455, 99231, 9X081, X2515, X7041, X8241, XE301, E0X81, E2E81, E51E5, E6455, E7061, E7281, EE001, EEEEE, 101101, 107161, 108081, 108XX7, 10E717, 10E817, 111111, 115061, 117331, 11X047, 11E3E7, 11E401, 122461, 1225X1, 123321, 123401, 12E751, 132231, 138791, 13X001, 14073E, 141141, 141461, 144851, 14578E, 146161, 147541, 154785, 157081, 158531, 159E61, 16544E, 170691, 172XX1, 1754E1, 176601, 182681, 186395, 190101, 191057, 194X81, 196495, 197X61, 19X315, 1X71X7, 1X8815, 1E2855, 1E5411, 1E6E01, 1EX757, 205861, 208691, 211981, 217281, 231091, 236115, 238601, 246191, 247477, 249341, 249EX7, 253761, 25X477, 2642E1, 264XX1, 268515, 272201, 276105, 278901, 283901, 290X01, 293171, 298701, 299341, 2X9861, 2E1857, 2E3381, 2E6117, 2E9441, 2EE201, 301301, 304197, 306307, 30E147, 313131, 319271, 31X8X1, 320X17, 336331, 343101, 3450X1, 347347, 348991, 349561, 350715, 355311, 35E681, 361391, 36428E, 369141, 370X21, 39X821, 3X02X7, 3E1601, 3EX201, 3EX541, 401401, 404691, 40E601, 410501, 414E77, 41X231, 41E141, 420681, 4236X5, 428261, 42E377, 42E781, 431E01, 432251, 432985, 437261, 43X781, 442761, 446E81, 449401, 4512X1, 453E21, 461901, 4769X7, 483841, 485281, 493361, 496631, 498E11, 4X3981, 508091, 515151, 525141, 52X461, 534501, 534947, 54E211, 550055, 550891, 555295, 562E31, 566661, 57E141, 598541, 5X5761, 5X5771, 5XEX81, 5E5X81, 605E61, 616161, 619X57, 6448E1, 65E001, 664EE5, 680055, 687201, 692601, 696371, 6X5001, 6E3187, 6EX501, 700007, 7022E1, 713001, 715681, 716261, 71X681, 72E901, 738X41, 742901, 756961, 75E121, 767X71, 76XX01, 781375, 788541, 78X441, 798491, 7XE855, 7E0551, 7E9X91, 807717, 810081, 81XE71, 836315, 838801, 841271, 845E31, 846147, 84X211, 85E401, 882291, 882X1E, 883851, 892281, 8X6291, 8X9941, 8E9001, 8EX301, 906E91, 91E481, 922031, 924391, 925881, 938601, 9456X7, 958X85, 95E047, 970001, 994401, 9X5301, X07521, X0XX01, X14161, X19141, X30801, X31701, X42601, X65381, X68X61, X99575, XX5341, E00041, E024X7, E0E0E1, E21911, E3X081, E41501, E53637, E61E61, E64X21, E70681, E7X161, E83755, E8XE31, E94721, E99301, E9EX31, EX2XE1, EX7401, EXXX9E, EE4355, EEX481, EEE001, ...

Euler-Jacobi pseudoprimes base 2: 3X9, 781, 1001, 1129, 1227, 1515, 1X91, 2401, 2861, 39X1, 4995, 4XX9, 6161, 74X9, 9201, 9801, X9X9, 12XX9, 14E91, 15521, 17229, 18281, 1E901, 20927, 23001, 24531, 26561, 30389, 31941, 37261, 37741, 3X771, 41581, 425X9, 43171, 44627, 50691, 55615, 57101, 61061, 63229, 63681, 72481, 77795, 79E95, 7E401, 83701, 909E5, 95591, X0781, X46X9, X78X1, X9301, E2X21, 102221, 102675, 104887, 10X141, 111467, 115241, 116475, 122461, 132231, 137401, 141461, 145101, 149595, 153055, 16X2X1, 172XX1, 179361, 1872X9, 197961, 197X61, 1X1751, 1E0037, 1E5815, 1E6E01, 1E7691, 1E9855, 209867, 2148X9, 217281, 227X41, 23EX15, 244861, 262281, 267861, 272581, 277E89, 279301, 281001, 283901, 28E841, 2X3801, 2X9861, 2E9307, 2EE795, 301301, 327391, 3355E5, 339701, 3450X1, 345551, 347101, 351401, 351661, 361391, 362561, 3636E7, 382347, 3E13X1, 3E5121, 401401, 405491, 410515, 4117X1, 414101, 428261, 429401, 429995, 442481, 442761, 467581, 472921, 479E61, 484281, 497421, 4X2855, 501629, 504611, 504E35, 5162X9, 529897, 530301, 53E32E, 555681, 562E31, 574837, 595E6E, 5X5761, 5XEX81, 5E0081, 5E0189, 5E7589, 5EX0X9, 600601, 608521, 6087E7, 609811, 618E41, 619X57, 61E601, 638301, 6569X9, 65E001, 661881, 68E465, 6XE181, 6E5881, 6E8655, 702701, 716261, 734445, 736749, 741361, 756961, 765X61, 775941, 7800E7, 7808X1, 7808E5, 7XE861, 7E9X91, 801801, 807E57, 842349, 844841, 849101, 85E229, 85E401, 875061, 8838X1, 888721, 892861, 8X4727, 8X88X9, 8E8201, 8E8601, 911001, 912495, 915171, 922031, 92X5X1, 93151E, 942801, 9719E1, 988135, 994401, 9X5301, X10X61, X67941, X68X61, X89421, XX5341, XE3761, E05491, E0635E, E0E761, E36X87, E83691, EX53X7, EE6607, ...

Euler-Jacobi pseudoprimes base 10: 77, E1, 101, 187, 281, E55, 1001, 1221, 1361, 1771, 2081, 51X7, 5301, 6161, 7401, 7677, 7871, 7881, 7X41, 8761, 9201, 9647, XX01, E365, 10001, 10101, 10441, 11X91, 12387, 12X41, 13397, 13601, 14241, 14E91, 15117, 15961, 16277, 16371, 17501, 17977, 18211, 18921, 19741, 1X207, 1X347, 1X461, 1E401, 1E901, 23001, 24531, 26561, 26877, 2X301, 2E591, 31031, 31E41, 32691, 33331, 37001, 37741, 39721, 39E31, 3X011, 3X4X1, 42X01, 43401, 434X7, 43681, 46461, 48407, 53941, 56827, 57101, 5X001, 5X245, 60071, 61061, 62291, 63001, 64101, 64461, 64601, 70X17, 73317, 73381, 75801, 77141, 7X401, 7XX17, 7XE41, 8042E, 81081, 83701, 8E201, 91091, 92301, 93X01, 99231, 9X081, X7041, X8241, XE301, E0X81, E2E81, E7061, E7281, EE001, EEEEE, 101101, 107161, 108081, 108XX7, 10E717, 10E817, 111111, 115061, 117331, 11X047, 11E3E7, 11E401, 122461, 1225X1, 123321, 123401, 12E751, 132231, 138791, 13X001, 14073E, 141141, 141461, 144851, 14578E, 146161, 147541, 157081, 158531, 159E61, 16544E, 170691, 172XX1, 1754E1, 176601, 182681, 190101, 191057, 194X81, 197X61, 1X71X7, 1E5411, 1E6E01, 1EX757, 205861, 208691, 211981, 217281, 231091, 238601, 246191, 247477, 249341, 249EX7, 253761, 25X477, 2642E1, 264XX1, 272201, 278901, 283901, 290X01, 293171, 298701, 299341, 2X9861, 2E1857, 2E3381, 2E6117, 2E9441, 2EE201, 301301, 304197, 306307, 30E147, 313131, 319271, 31X8X1, 320X17, 336331, 343101, 3450X1, 347347, 348991, 349561, 355311, 35E681, 361391, 36428E, 369141, 370X21, 39X821, 3X02X7, 3E1601, 3EX201, 3EX541, 401401, 404691, 40E601, 410501, 414E77, 41X231, 41E141, 420681, 428261, 42E377, 42E781, 431E01, 432251, 432985, 437261, 43X781, 442761, 446E81, 449401, 4512X1, 453E21, 461901, 4769X7, 483841, 485281, 493361, 496631, 498E11, 4X3981, 508091, 515151, 525141, 52X461, 534501, 534947, 54E211, 550891, 562E31, 566661, 57E141, 598541, 5X5761, 5X5771, 5XEX81, 5E5X81, 605E61, 616161, 619X57, 6448E1, 65E001, 664EE5, 687201, 692601, 696371, 6X5001, 6E3187, 6EX501, 700007, 7022E1, 713001, 715681, 716261, 71X681, 72E901, 738X41, 742901, 756961, 75E121, 767X71, 76XX01, 788541, 78X441, 798491, 7E0551, 7E9X91, 807717, 810081, 81XE71, 838801, 841271, 845E31, 846147, 84X211, 85E401, 882291, 882X1E, 883851, 892281, 8X6291, 8X9941, 8E9001, 8EX301, 906E91, 91E481, 922031, 924391, 925881, 938601, 9456X7, 95E047, 970001, 994401, 9X5301, X07521, X0XX01, X14161, X19141, X30801, X31701, X42601, X65381, X68X61, XX5341, E00041, E024X7, E0E0E1, E21911, E3X081, E41501, E53637, E61E61, E64X21, E70681, E7X161, E8XE31, E94721, E99301, E9EX31, EX2XE1, EX7401, EXXX9E, EEX481, EEE001, ...

String pseudoprimes base 2: 1227, 1X91, 2401, 2861, 4995, 9201, 14E91, 20927, 24531, 26561, 31941, 37261, 3X771, 41581, 43171, 44627, 50691, 63681, 95591, X78X1, E2X21, 102221, 102675, 104887, 111467, 116475, 132231, 153055, 16X2X1, 1X1751, 1E0037, 1E5815, 1E7691, 209867, 23EX15, 267861, 272581, 2E9307, 327391, 3355E5, 345551, 361391, 3636E7, 382347, 3E13X1, 3E5121, 405491, 410515, 414101, 442481, 472921, 497421, 4X2855, 504611, 504E35, 529897, 53E32E, 555681, 562E31, 574837, 595E6E, 600601, 6087E7, 609811, 619X57, 68E465, 6E5881, 734445, 765X61, 7800E7, 7808E5, 7XE861, 7E9X91, 807E57, 844841, 892861, 8X4727, 912495, 915171, 922031, 93151E, 9719E1, 988135, X10X61, E05491, E0635E, E0E761, E36X87, E83691, EX53X7, EE6607, ...

Strong pseudoprimes base 10: 77, E1, 101, 187, E55, 1001, 1771, 51X7, 5301, 6161, 7677, 7871, 9647, E365, 10001, 10441, 11X91, 12387, 13397, 15117, 16277, 16371, 17977, 18211, 18921, 1X207, 1X347, 1E401, 26877, 33331, 39E31, 3X011, 434X7, 48407, 56827, 5X245, 64461, 64601, 70X17, 73317, 7XX17, 8042E, 91091, 93X01, E0X81, E7281, EE001, EEEEE, 108081, 108XX7, 10E717, 10E817, 117331, 11X047, 11E3E7, 1225X1, 12E751, 138791, 14073E, 144851, 14578E, 158531, 16544E, 170691, 191057, 1X71X7, 1EX757, 231091, 246191, 247477, 249341, 249EX7, 253761, 25X477, 293171, 2E1857, 2E3381, 2E6117, 2EE201, 304197, 306307, 30E147, 319271, 320X17, 336331, 347347, 348991, 36428E, 369141, 3X02X7, 404691, 414E77, 42E377, 432985, 437261, 446E81, 453E21, 4769X7, 485281, 493361, 498E11, 508091, 534947, 54E211, 562E31, 566661, 57E141, 5X5771, 605E61, 619X57, 6448E1, 664EE5, 692601, 696371, 6E3187, 700007, 716261, 756961, 767X71, 78X441, 7E0551, 7E9X91, 807717, 81XE71, 838801, 841271, 846147, 84X211, 882291, 882X1E, 8X6291, 906E91, 922031, 9456X7, 95E047, E024X7, E0E0E1, E53637, E61E61, E9EX31, EX2XE1, EXXX9E, EEE001, ...

Weak pseudoprimes base 2: 245, 3X9, 459, 781, 977, 1001, 1129, 1227, 1515, 1691, 1771, 1X91, 2401, 2641, 2643, 2861, 31E1, 39X1, 4731, 4995, 4XX9, 51X7, 5E31, 6161, 6661, 74X9, 7E51, 7E57, 8111, 8477, 9111, 9201, 9801, X9X9, XX01, E667, 11389, 11641, 12XX9, 14E91, 15521, 15X61, 16221, 16361, 16371, 17229, 18281, 18545, 1E0X1, 1E901, 20141, 20927, 23001, 24531, 24E11, 26561, 27E79, 29291, 2E165, 2E217, 30389, 31031, 317E1, 31941, 334E1, 36219, 37261, 37741, 3X771, 40285, 40501, 41581, 425X9, 43171, 43301, 44627, 447E5, 46461, 4X611, 50691, 52041, 55615, 57101, 5X361, 5E3XE, 61061, 63201, 63229, 63681, 67451, 72481, 7336E, 75219, 77289, 77795, 7923X, 79X41, 79E95, 7E401, 83701, 85E31, 89325, 909E5, 91091, 94491, 95531, 95591, 9X081, 9E689, X0781, X2E19, X46X9, X473X, X4X31, X7231, X78X1, X9301, XE301, E0101, E2X21, E7575, 100701, 102221, 102675, 104887, 105727, 109285, 10X141, 111467, 111677, 1137X7, 113891, 115241, 116475, 117331, 118831, 1192E1, 11E959, 122367, 122461, 132231, 1342X1, 137401, 140819, 141461, 145101, 145761, 149595, 153055, 158521, 16846E, 16X2X1, 1713X7, 172XX1, 174361, 179361, 184717, 185301, 1872X9, 19015E, 194947, 197961, 197X61, 199629, 19972E, 1X1751, 1X4761, 1E0037, 1E2831, 1E5815, 1E6E01, 1E7691, 1E9855, 1E9991, 208691, 2092X5, 209867, 2148X9, 217281, 219091, 227X41, 229X35, 232101, 238601, 238811, 23EX15, 240E81, 244245, 244861, 251731, 255EE1, 259145, 260591, 262281, 267861, 26E641, 272581, 276105, 277E89, 278891, 279301, 281001, 281045, 2810X1, 283901, 285207, 289441, 289X6E, 28E841, 292331, 2X3231, 2X3801, 2X9861, 2X9E35, 2X9E85, 2E1XE1, 2E7491, 2E9307, 2E9X51, 2EX441, 2EE795, 301301, 306761, 311427, 311565, 31E501, 327391, 3355E5, 339701, 341179, 3450X1, 345551, 347101, 34X391, 351401, 351661, 361391, 362561, 3636E7, 374101, 3820E9, 382347, 390631, 39X291, 3E13X1, 3E5121, 401401, 405491, 410515, 4117X1, 414101, 414E77, 41X231, 428261, 429107, 429401, 429995, 433931, 438E65, 442481, 442761, 448317, 448921, 453111, 454601, 456071, 464X21, 467581, 46E381, 470471, 472921, 4769X7, 479E61, 484281, 496631, 497421, 4X2855, 501629, 504611, 504E35, 5162X9, 517137, 524561, 529897, 530301, 53E32E, 543731, 555681, 5557E1, 562E31, 5729X1, 574837, 575105, 585647, 591627, 595E6E, 5X3751, 5X4X47, 5X5761, 5X70E1, 5XEX81, 5E0081, 5E0189, 5E7589, 5EX0X9, 600601, 604531, 608521, 6087E7, 609811, 6141X1, 618E41, 619X57, 61E601, 61E861, 620065, 621831, 628797, 638301, 641E01, 6448E1, 6569X9, 65E001, 661881, 673241, 68E465, 696371, 6X6471, 6XE181, 6E5881, 6E8655, 702701, 707761, 716261, 72X981, 733341, 734445, 736749, 7409E7, 741361, 743721, 747371, 748861, 749031, 756961, 765X61, 773021, 775941, 7800E7, 7808X1, 7808E5, 795561, 7XE861, 7E9X91, 801801, 802401, 807E57, 80X471, 821901, 842349, 844841, 846931, 849101, 853971, 85E229, 85E401, 863731, 86E145, 8737E9, 875061, 8836X9, 8838X1, 885435, 888721, 892861, 894277, 8X4727, 8X88X9, 8E8201, 8E8601, 911001, 912495, 915171, 922031, 924559, 925729, 92X5X1, 93151E, 936E41, 942801, 954051, 9719E1, 984EX9, 988135, 994401, 994E37, 9X5301, 9EE945, X01E05, X08951, X0E491, X10X61, X12929, X1E5E5, X21231, X24661, X3X2XX, X56705, X5X211, X61X61, X6288E, X67941, X68X61, X79005, X79241, X89421, XX5341, XE2091, XE3761, E05491, E05565, E0635E, E0E761, E19391, E21277, E28633, E2E201, E36X87, E44561, E63331, E6XX61, E6EE89, E7X161, E83691, E8X5X1, E99701, E9EX31, EX53X7, EE6607, EE6E15, ...

Weak pseudoprimes base 10: 4, 6, 10, 1X, 29, 33, 38, 55, 56, 77, E0, E1, EE, 101, 119, 187, 1E0, 275, 281, 2E9, 3X9, 444, 4X7, 679, 731, 777, 781, E55, 1001, 1111, 1117, 1221, 12X9, 1361, 1515, 1691, 175X, 1771, 1849, 1887, 19E9, 1X29, 1E47, 1EEX, 2081, 2929, 2X91, 3131, 3267, 3421, 3611, 3795, 39X1, 4549, 5006, 51X7, 5301, 5879, 6161, 64E1, 7217, 7249, 7401, 7575, 7677, 7871, 7881, 7X41, 8181, 8327, 8482, 8761, 8805, 8921, 9201, 9647, 9E29, X921, XX01, XE84, E1E1, E365, EX37, 10001, 10101, 10441, 11211, 11X91, 12387, 12X41, 13397, 13601, 14241, 14971, 14E91, 15117, 15961, 16277, 16371, 17501, 17675, 17905, 17977, 18110, 18211, 18921, 19129, 19741, 19849, 1X207, 1X347, 1X461, 1X537, 1X66E, 1E401, 1E647, 1E901, 202X1, 23001, 23391, 24221, 24531, 24E15, 26561, 26877, 268E7, 275X9, 28729, 2X301, 2X987, 2XE91, 2E591, 2EEE9, 30389, 30747, 30829, 31031, 31E41, 32455, 32691, 33331, 34093, 34521, 36751, 36XX9, 37001, 37741, 38015, 38191, 38417, 39721, 39877, 39E31, 3X011, 3X4X1, 3E0X9, 3E991, 40285, 40501, 42X01, 43301, 43401, 434X7, 43681, 44627, 45149, 46461, 48407, 4X611, 4EE55, 50691, 52041, 52E22, 53941, 53E01, 56827, 57101, 5X001, 5X245, 60071, 61061, 61381, 62291, 62779, 63001, 63329, 64101, 64461, 64601, 66067, 66666, 68575, 69X71, 70X17, 71X81, 73317, 73381, 74347, 755E1, 75801, 77141, 79E95, 7X401, 7XX17, 7XE41, 8042E, 81081, 82X85, 83701, 859X9, 85E31, 89X21, 8E201, 90XX7, 91091, 91643, 92301, 92589, 93X01, 95489, 96455, 99231, 9X081, X04X9, X0E49, X17X7, X1X1E, X2515, X3501, X6747, X7041, X8241, X8941, XE301, E0101, E0X81, E2E81, E51E5, E6455, E7061, E7281, EE001, EEEEE, 101101, 101497, 102221, 102919, 1046X9, 107161, 108081, 108XX7, 10XE11, 10E717, 10E817, 111111, 113773, 113891, 115061, 115241, 117331, 118271, 119X89, 11X047, 11E3E7, 11E401, 122461, 1225X1, 123321, 123401, 127577, 12E751, 132231, 132E51, 135333, 138791, 13X001, 13X4E5, 14073E, 141141, 141461, 144561, 144851, 144E7E, 145101, 14578E, 1460X7, 146161, 1467X1, 147541, 14XX71, 150015, 151371, 154785, 156947, 157081, 157531, 157X61, 158531, 159E61, 1625X9, 16544E, 166977, 16X791, 16EE61, 170691, 172XX1, 1754E1, 176601, 1778X1, 179361, 17X397, 182681, 185391, 186395, 186549, 1894X1, 18E856, 190101, 191057, 194X81, 196495, 197X61, 19X315, 19EE31, 1X4729, 1X6901, 1X71X7, 1X8815, 1E2855, 1E5411, 1E6E01, 1E8671, 1E87X1, 1EX757, 1EEXX7, 201289, 205861, 207229, 2084X7, 208691, 20X181, 210401, 211981, 217281, 217815, 2179E7, 219091, 220E61, 227X41, 231091, 231761, 232017, 232101, 232475, 236115, 238601, 239XE9, 241X0E, 243321, 246191, 247477, 249341, 249EX7, 251429, 253761, 25X477, 260591, 262737, 2642E1, 264XX1, 264E47, 268515, 269777, 272201, 272727, 276105, 277E89, 278901, 279247, 279301, 281001, 283901, 290029, 290X01, 293171, 298701, 299341, 299997, 2X9861, 2E0481, 2E1857, 2E315E, 2E3381, 2E6117, 2E9441, 2EE201, 300091, 301301, 304197, 306307, 308E31, 30E147, 313131, 319271, 31X1X9, 31X8X1, 31E501, 320X17, 324867, 32X227, 336331, 337691, 339701, 342011, 342441, 343101, 3450X1, 347347, 3478E1, 348991, 349561, 350715, 351661, 355311, 35E681, 360691, 361391, 36428E, 366E89, 369141, 36E107, 370X21, 3740X1, 37E2E0, 383649, 388301, 396131, 399761, 39X821, 3X02X7, 3X5801, 3X9719, 3E1601, 3E4EE8, 3E7E61, 3EX201, 3EX277, 3EX541, 3EE637, 401401, 404691, 40E601, 410501, 412X1E, 414047, 414E77, 419E35, 41X231, 41E141, 420681, 4236X5, 428261, 42E377, 42E781, 431E01, 432251, 432985, 437261, 43X781, 442761, 4449X1, 446E81, 447437, 449401, 4512X1, 453E21, 454929, 458641, 459249, 459E31, 45X161, 461901, 464677, 4769X7, 477831, 482147, 482E81, 483841, 484991, 485281, 486687, 48X6X7, 493361, 496631, 497229, 498E11, 4X3981, 4E6706, 503427, 508091, 510847, 515151, 51X9X9, 525141, 52X461, 52EX9E, 534501, 534947, 536701, 541541, 545677, 54663E, 546679, 548531, 54E211, 550055, 550891, 552X97, 555295, 562E31, 566661, 57E141, 582419, 584441, 591215, 598541, 5X35E0, 5X5761, 5X5771, 5XEX81, 5E3261, 5E5X81, 5EEEE6, 600215, 605E61, 610061, 616161, 619X57, 61EX47, 621831, 630841, 638301, 641E01, 6448E1, 6486X7, 650301, 65E001, 65E461, 664231, 664EE5, 672991, 680055, 687201, 692601, 695535, 696371, 6X0735, 6X3361, 6X5001, 6E3187, 6E6091, 6EX501, 700007, 7022E1, 702955, 7036E7, 707761, 713001, 715681, 716261, 71X681, 724207, 729991, 72E901, 738X41, 739X17, 73E651, 742901, 7517X1, 753301, 75543X, 756961, 75E121, 761877, 767X71, 769191, 76XX01, 776E5E, 7808E5, 781375, 788541, 78X441, 798491, 7XE855, 7E0551, 7E5517, 7E9X91, 801801, 803E81, 807717, 80X471, 810081, 818181, 81X6X9, 81XE71, 821901, 826EE6, 82E4X9, 833327, 836315, 836517, 838801, 83E7X1, 841271, 845E31, 846147, 84X211, 853971, 854831, 85X4X9, 85E401, 8687E9, 86X351, 872197, 8783E9, 882291, 882X1E, 883851, 88E277, 892281, 892X77, 893391, 893557, 8X6291, 8X9941, 8E9001, 8EX301, 8EX655, 906E91, 91E481, 920075, 922031, 924391, 925881, 928767, 938601, 9456X7, 9484E7, 948991, 949981, 958X85, 95E047, 95E90E, 970001, 994401, 9981X9, 9X1561, 9X5301, 9X8629, 9E7951, X03531, X03901, X07521, X0XX01, X0E491, X13X91, X14161, X19141, X21231, X28617, X30801, X31701, X3E244, X42601, X57337, X65381, X68X61, X6X047, X71421, X77221, X79241, X96X47, X986X7, X99575, XX0X21, XX5341, XXXE01, XE4E01, XE4E17, E00041, E00EE1, E024X7, E05565, E077X9, E0E0E1, E21911, E30EX7, E318XE, E33X81, E384X9, E3X081, E40E55, E41501, E53637, E61E61, E63331, E64X21, E70681, E79629, E7X161, E83755, E89691, E8X397, E8XE31, E8E661, E94721, E99301, E9EX31, EX2XE1, EX7401, EXXX9E, EE4355, EEX481, EEE001, ...

Fibonacci U-pseudoprimes: 22E, 275, 1117, 226E, 2505, 3415, 39X1, 3X81, 4871, 6365, 68EE, 7781, 8111, 89XE, 9XX7, X2EE, X79E, E02E, 11667, 12E85, 1398E, 15X61, 18001, 1827E, 1845E, 1X82E, 1E531, 2505E, 26001, 260EE, 265E9, 2707E, 2XE35, 310EE, 31521, 33331, 334E1, 335E7, 37545, 39461, 3X04E, 40033, 4197E, 43335, 434X7, 44151, 442EE, 4694E, 47701, 48801, 49E3E, 5069E, 55885, 56827, 58661, 5X0EE, 5X301, 68261, 6X82E, 70147, 70X17, 72X61, 74EE1, 77X25, 7922E, 799E1, 7X461, 89755, 90241, 9289E, 94E8E, 96161, 97761, 979XE, X6747, X7231, E2107, 100X05, 102221, 103215, 105201, 109X49, 109E87, 10E681, 111917, 117E95, 117EX5, 12253E, 1269E1, 1274X5, 1292EE, 133241, 13E615, 140819, 1460X7, 148221, 164175, 16502E, 166E8E, 172XX1, 1884EE, 188XEE, 18XE31, 191XX7, 19X2X7, 19E0EE, 1X0091, 1X46E1, 1E7401, 20157E, 205161, 20585E, 208691, 211481, 217097, 2255XE, 22X005, 2353EE, 237607, 24E7EE, 253721, 264647, 267X0E, 268515, 26856E, 2693X5, 26E641, 277201, 2874EE, 2908EE, 297X4E, 2X9861, 2X9E85, 2E415E, 2E602E, 2E9307, 303XXE, 303E95, 309561, 30E133, 31207E, 314747, 324867, 326177, 33E78E, 35101E, 351661, 351XX5, 361391, 387841, 398X41, 3X02X7, 3E547E, 3EE645, 402805, 404471, 408X4E, 40EEEE, 414047, 414E77, 415X81, 41X465, 41XX81, 421301, 426317, 42E445, 432251, 441E55, 443521, 45429E, 454455, 470471, 474E29, 47550E, 487XE5, 496631, 498E15, 4X04E5, 4X2855, 4X59X7, 507031, 51X7X7, 528527, 530E7E, 534947, 536281, 54E111, 559331, 56E91E, 5717X1, 5814X7, 5850E1, 5X1755, 5X3755, 61E601, 621461, 647X4E, 648761, 649X29, 64X1X7, 663091, 664665, 664EE5, 66922E, 678E41, 67E49E, 696371, 69X1EE, 6E1985, 6E8655, 705967, 721727, 72E901, 73451E, 756961, 756XE7, 75EX17, 760275, 7808E5, 785091, 7X0915, 7X8351, 7XX62E, 7E0277, 810401, 8240EE, 831555, 834X15, 83X96E, 846931, 853971, 86417E, 870X25, 8712EE, 872E61, 873219, 877991, 881791, 885435, 896141, 8X73X7, 8X93EE, 8E192E, 908307, 91181E, 925785, 95XE41, 99547E, 9XX691, 9E5231, X06801, X10601, X1213E, X2015E, X35535, X483EE, X487E1, X56705, X84805, XX5341, XE4E17, XE5101, E024X7, E0E761, E16861, E220EE, E243E1, E4EE61, E55425, E56001, E5E45E, E66281, E7062E, EXX201, ...

Fibonacci V-pseudoprimes: 4X9, 1515, 1701, 2201, 2505, 3415, 3X81, 6365, 7781, 89XE, 121X9, 14E41, 18001, 18861, 26001, 277X9, 310EE, 31521, 33331, 335E7, 37545, 3X4X5, 44151, 47701, 48801, 49XX9, 49E3E, 50E15, 55885, 58661, 70X17, 7922E, 799E1, 7X461, 87EX9, 90241, 94901, 96161, X1401, X7231, E0101, E0945, E2107, 102221, 103215, 105201, 10E681, 111917, 117E95, 1269E1, 1274X5, 139501, 13E615, 172XX1, 188XEE, 18XE31, 191XX7, 196921, 19EX49, 1E7401, 1E8075, 200081, 208691, 211481, 217097, 22X005, 249E41, 259X95, 267X0E, 268515, 2693X5, 26X12E, 277201, 282405, 291801, 297529, 2X9E85, 2E9307, 35101E, 351661, 351XX5, 3848X9, 387841, 38X301, 3EXX29, 402805, 414E77, 41X465, 41XX81, 421301, 438801, 441E55, 443521, 453X11, 45429E, 454455, 47550E, 487XE5, 496631, 4X04E5, 4X59X7, 4E6E29, 507031, 534947, 536281, 53E255, 54E111, 56E91E, 5717X1, 581XX9, 5890X1, 617681, 61E601, 621461, 657E91, 664665, 664EE5, 678E41, 696371, 69X1EE, 6E8655, 713161, 721535, 72E901, 756961, 756XE7, 7808E5, 7E0277, 7E3931, 808421, 851E81, 853971, 866855, 872E61, 881791, 885435, 894245, 896141, 8E192E, 91181E, 95XE41, 99547E, 9XX691, 9E5231, X06801, X10601, X12275, X21231, X35535, X46801, X487E1, X56705, X84805, XX5341, E05941, E0E761, E16861, E243E1, E56001, E66281, E9E001, EX14X9, EXX201, ...

Deceptive primes: 55, 77, E1, 101, 187, 275, 4X7, 777, 781, E55, 1001, 1111, 1117, 1221, 1515, 1691, 1771, 1887, 1E47, 3131, 3267, 3421, 3795, 39X1, 51X7, 5301, 6161, 7217, 7401, 7575, 7677, 7871, 7881, 8181, 8327, 8805, 8921, 9201, 9647, XX01, E1E1, E365, EX37, 10001, 10101, 10441, 11211, 12387, 12X41, 13397, 14241, 14E91, 15117, 16277, 16371, 17501, 17675, 17977, 18211, 18921, 1X207, 1X347, 1X537, 1X66E, 1E401, 1E647, 202X1, 23001, 23391, 24531, 24E15, 26561, 26877, 268E7, 2X301, 2X987, 2E591, 30747, 31031, 31E41, 32455, 32691, 33331, 34521, 38015, 38417, 39877, 39E31, 3X011, 3X4X1, 40285, 40501, 42X01, 43401, 434X7, 44627, 46461, 48407, 4EE55, 50691, 52041, 53E01, 56827, 57101, 5X001, 5X245, 60071, 61061, 61381, 62291, 63001, 64101, 64461, 64601, 66067, 68575, 70X17, 71X81, 73317, 74347, 755E1, 75801, 77141, 79E95, 7XX17, 8042E, 81081, 83701, 85E31, 89X21, 90XX7, 91091, 92301, 93X01, 96455, 99231, 9X081, X17X7, X2515, X3501, X6747, X8241, X8941, XE301, E0101, E0X81, E6455, E7061, E7281, EE001, 101101, 102221, 107161, 108081, 108XX7, 10XE11, 10E717, 10E817, 111111, 113891, 115061, 115241, 117331, 118271, 11X047, 11E3E7, 11E401, 122461, 1225X1, 123321, 127577, 12E751, 132231, 132E51, 138791, 13X001, 13X4E5, 14073E, 141141, 141461, 144561, 144851, 144E7E, 145101, 14578E, 1460X7, 146161, 1467X1, 150015, 151371, 154785, 156947, 157X61, 158531, 16544E, 166977, 16X791, 16EE61, 170691, 172XX1, 1754E1, 176601, 1778X1, 179361, 17X397, 182681, 185391, 186395, 190101, 191057, 196495, 197X61, 19X315, 19EE31, 1X6901, 1X71X7, 1E2855, 1E5411, 1E6E01, 1E8671, 1E87X1, 1EX757, 1EEXX7, 2084X7, 208691, 210401, 217281, 217815, 2179E7, 227X41, 231091, 231761, 232017, 232101, 232475, 236115, 238601, 241X0E, 243321, 246191, 247477, 249341, 249EX7, 253761, 25X477, 260591, 262737, 2642E1, 264E47, 268515, 269777, 272201, 272727, 276105, 278901, 279247, 281001, 283901, 293171, 298701, 299341, 299997, 2X9861, 2E0481, 2E1857, 2E3381, 2E6117, 2E9441, 2EE201, 300091, 301301, 304197, 306307, 308E31, 30E147, 313131, 319271, 31E501, 320X17, 324867, 32X227, 336331, 337691, 339701, 342441, 343101, 3450X1, 347347, 3478E1, 348991, 349561, 350715, 355311, 35E681, 360691, 361391, 36428E, 369141, 36E107, 370X21, 3740X1, 388301, 396131, 399761, 3X02X7, 3X5801, 3E7E61, 3EX201, 3EX277, 3EX541, 3EE637, 401401, 404691, 412X1E, 414047, 414E77, 41X231, 420681, 4236X5, 428261, 42E377, 431E01, 432251, 432985, 437261, 442761, 4449X1, 446E81, 447437, 4512X1, 453E21, 458641, 45X161, 461901, 464677, 4769X7, 477831, 482147, 482E81, 483841, 484991, 485281, 486687, 48X6X7, 493361, 496631, 498E11, 4X3981, 503427, 508091, 510847, 515151, 525141, 52X461, 52EX9E, 534501, 534947, 541541, 545677, 54663E, 548531, 54E211, 550055, 550891, 552X97, 555295, 562E31, 566661, 57E141, 584441, 591215, 598541, 5X5761, 5X5771, 5XEX81, 5E3261, 5E5X81, 600215, 605E61, 610061, 616161, 619X57, 61EX47, 621831, 638301, 641E01, 6448E1, 6486X7, 650301, 65E001, 664EE5, 672991, 680055, 687201, 692601, 696371, 6X0735, 6X3361, 6E3187, 700007, 7022E1, 702955, 7036E7, 707761, 713001, 715681, 716261, 729991, 72E901, 739X17, 742901, 7517X1, 753301, 756961, 75E121, 761877, 767X71, 76XX01, 776E5E, 7808E5, 781375, 78X441, 798491, 7XE855, 7E0551, 7E5517, 7E9X91, 801801, 803E81, 807717, 80X471, 810081, 818181, 81XE71, 821901, 833327, 836315, 836517, 838801, 83E7X1, 841271, 845E31, 846147, 84X211, 854831, 85E401, 872197, 882291, 882X1E, 88E277, 892281, 892X77, 893557, 8X6291, 8X9941, 8E9001, 8EX655, 906E91, 91E481, 920075, 922031, 924391, 928767, 938601, 9456X7, 9484E7, 948991, 949981, 958X85, 95E047, 95E90E, 970001, 994401, 9X1561, 9X5301, 9E7951, X03901, X07521, X0XX01, X0E491, X13X91, X14161, X19141, X21231, X28617, X42601, X57337, X68X61, X6X047, X71421, X77221, X96X47, X986X7, X99575, XXXE01, XE4E01, E00041, E00EE1, E024X7, E05565, E0E0E1, E21911, E30EX7, E33X81, E40E55, E53637, E61E61, E63331, E64X21, E7X161, E83755, E8X397, E8E661, E94721, E9EX31, EX2XE1, EXXX9E, EE4355, EEX481, EEE001, ...

Repunit pseudoprimes: 4, 6, 10, 33, 55, 77, E1, 101, 187, 1E0, 275, 444, 4X7, 777, 781, E55, 1001, 1111, 1117, 1221, 1515, 1691, 175X, 1771, 1887, 19E9, 1E47, 3131, 3267, 3421, 3795, 39X1, 51X7, 5301, 5879, 6161, 7217, 7401, 7575, 7677, 7871, 7881, 8181, 8327, 8805, 8921, 9201, 9647, 9E29, XX01, E1E1, E365, EX37, 10001, 10101, 10441, 11211, 12387, 12X41, 13397, 14241, 14E91, 15117, 16277, 16371, 17501, 17675, 17977, 18211, 18921, 19849, 1X207, 1X347, 1X537, 1X66E, 1E401, 1E647, 202X1, 23001, 23391, 24531, 24E15, 26561, 26877, 268E7, 28729, 2X301, 2X987, 2E591, 30389, 30747, 31031, 31E41, 32455, 32691, 33331, 34093, 34521, 36XX9, 38015, 38417, 39877, 39E31, 3X011, 3X4X1, 40285, 40501, 42X01, 43401, 434X7, 44627, 45149, 46461, 48407, 4EE55, 50691, 52041, 53E01, 56827, 57101, 5X001, 5X245, 60071, 61061, 61381, 62291, 62779, 63001, 63329, 64101, 64461, 64601, 66067, 66666, 68575, 70X17, 71X81, 73317, 74347, 755E1, 75801, 77141, 79E95, 7XX17, 8042E, 81081, 83701, 859X9, 85E31, 89X21, 90XX7, 91091, 91643, 92301, 93X01, 95489, 96455, 99231, 9X081, X0E49, X17X7, X2515, X3501, X6747, X8241, X8941, XE301, E0101, E0X81, E6455, E7061, E7281, EE001, 101101, 102221, 1046X9, 107161, 108081, 108XX7, 10XE11, 10E717, 10E817, 111111, 113891, 115061, 115241, 117331, 118271, 119X89, 11X047, 11E3E7, 11E401, 122461, 1225X1, 123321, 127577, 12E751, 132231, 132E51, 135333, 138791, 13X001, 13X4E5, 14073E, 141141, 141461, 144561, 144851, 144E7E, 145101, 14578E, 1460X7, 146161, 1467X1, 150015, 151371, 154785, 156947, 157X61, 158531, 16544E, 166977, 16X791, 16EE61, 170691, 172XX1, 1754E1, 176601, 1778X1, 179361, 17X397, 182681, 185391, 186395, 18E856, 190101, 191057, 196495, 197X61, 19X315, 19EE31, 1X6901, 1X71X7, 1E2855, 1E5411, 1E6E01, 1E8671, 1E87X1, 1EX757, 1EEXX7, 2084X7, 208691, 210401, 217281, 217815, 2179E7, 227X41, 231091, 231761, 232017, 232101, 232475, 236115, 238601, 241X0E, 243321, 246191, 247477, 249341, 249EX7, 251429, 253761, 25X477, 260591, 262737, 2642E1, 264E47, 268515, 269777, 272201, 272727, 276105, 278901, 279247, 281001, 283901, 293171, 298701, 299341, 299997, 2X9861, 2E0481, 2E1857, 2E3381, 2E6117, 2E9441, 2EE201, 300091, 301301, 304197, 306307, 308E31, 30E147, 313131, 319271, 31X1X9, 31E501, 320X17, 324867, 32X227, 336331, 337691, 339701, 342441, 343101, 3450X1, 347347, 3478E1, 348991, 349561, 350715, 355311, 35E681, 360691, 361391, 36428E, 366E89, 369141, 36E107, 370X21, 3740X1, 37E2E0, 388301, 396131, 399761, 3X02X7, 3X5801, 3X9719, 3E4EE8, 3E7E61, 3EX201, 3EX277, 3EX541, 3EE637, 401401, 404691, 412X1E, 414047, 414E77, 41X231, 420681, 4236X5, 428261, 42E377, 431E01, 432251, 432985, 437261, 442761, 4449X1, 446E81, 447437, 4512X1, 453E21, 458641, 45X161, 461901, 464677, 4769X7, 477831, 482147, 482E81, 483841, 484991, 485281, 486687, 48X6X7, 493361, 496631, 498E11, 4X3981, 4E6706, 503427, 508091, 510847, 515151, 525141, 52X461, 52EX9E, 534501, 534947, 541541, 545677, 54663E, 546679, 548531, 54E211, 550055, 550891, 552X97, 555295, 562E31, 566661, 57E141, 582419, 584441, 591215, 598541, 5X35E0, 5X5761, 5X5771, 5XEX81, 5E3261, 5E5X81, 600215, 605E61, 610061, 616161, 619X57, 61EX47, 621831, 638301, 641E01, 6448E1, 6486X7, 650301, 65E001, 664EE5, 672991, 680055, 687201, 692601, 696371, 6X0735, 6X3361, 6E3187, 700007, 7022E1, 702955, 7036E7, 707761, 713001, 715681, 716261, 729991, 72E901, 739X17, 742901, 7517X1, 753301, 75543X, 756961, 75E121, 761877, 767X71, 76XX01, 776E5E, 7808E5, 781375, 78X441, 798491, 7XE855, 7E0551, 7E5517, 7E9X91, 801801, 803E81, 807717, 80X471, 810081, 818181, 81XE71, 821901, 833327, 836315, 836517, 838801, 83E7X1, 841271, 845E31, 846147, 84X211, 854831, 85X4X9, 85E401, 8687E9, 872197, 8783E9, 882291, 882X1E, 88E277, 892281, 892X77, 893557, 8X6291, 8X9941, 8E9001, 8EX655, 906E91, 91E481, 920075, 922031, 924391, 928767, 938601, 9456X7, 9484E7, 948991, 949981, 958X85, 95E047, 95E90E, 970001, 994401, 9981X9, 9X1561, 9X5301, 9E7951, X03901, X07521, X0XX01, X0E491, X13X91, X14161, X19141, X21231, X28617, X3E244, X42601, X57337, X68X61, X6X047, X71421, X77221, X96X47, X986X7, X99575, XXXE01, XE4E01, E00041, E00EE1, E024X7, E05565, E0E0E1, E21911, E30EX7, E33X81, E384X9, E40E55, E53637, E61E61, E63331, E64X21, E7X161, E83755, E8X397, E8E661, E94721, E9EX31, EX2XE1, EXXX9E, EE4355, EEX481, EEE001, ...

Unrestricted Perrin pseudoprimes: 111101, 37761E, 5653662, 8312001, 9225762, 9321341, 13769517, 2X483731, 37X29X31, 557E9X65, 5E820X85, 125461661, 1328E1685, 1X4365137, 1EX442105, 212560805, 230E78347, 26559738E, 277869001, 2X57E4271, 329496471, 35E2E4081, 495976871, 5437X7X71, 6E0962281, 774490347, ...

Restricted Perrin pseudoprimes: 9321341, 13769517, 2X483731, 37X29X31, 125461661, 1328E1685, 1X4365137, 1EX442105, 230E78347, 2X57E4271, 774490347, 8E2550757, 91656X5E5, E70953401, EE2109E77, 10238E1E17, 1289X1E1E7, 1447533221, ...

Carmichael numbers: 3X9, 781, 1001, 1515, 1771, 39X1, 51X7, 6161, 9201, 14E91, 1E901, 23001, 26561, 30389, 31031, 37741, 4X611, 57101, 61061, 79E95, 83701, 91091, 102221, 115241, 122461, 132231, 141461, 145101, 172XX1, 179361, 197X61, 1E6E01, 208691, 217281, 227X41, 277E89, 279301, 283901, 301301, 339701, 3450X1, 351661, 401401, 414E77, 41X231, 428261, 442761, 4769X7, 496631, 5X5761, 638301, 65E001, 716261, 756961, 7808E5, 853971, 85E401, 994401, 9X5301, X0E491, X21231, X68X61, XX5341, ...

Lucas-Carmichael numbers: 293, 65E, 11EE, 182E, 2X7E, 3387, 40EE, 515E, 743E, X57E, EE95, 1019E, 1127E, 14E6E, 162EE, 227EE, 2587E, 2X90E, 308EE, 32X7E, 3667E, 384EE, 3X4X5, 3E35E, 432EE, 442EE, 5069E, 579EE, 59945, 713EE, 7415E, 7620E, 7X193, 92EEE, 9455E, 958EE, X3E5E, X66EE, E123E, 109X5E, 152E3E, 1686EE, 169X7E, 1E3027, 24465E, 27652E, 2800X7, 2877EE, 2X238E, 2E8EEE, 30823E, 3084EE, 31549E, 325E1E, 36553E, 3723EE, 38045E, 3X71EE, 3X758E, 3XE49E, 408XEE, 4108EE, 44E12E, 4807X5, 4EX28E, 50735E, 61698E, 62E45E, 64501E, 6468EE, 68017E, 6X43EE, 6X60EE, 6XXX3E, 73451E, 77865E, 7843EE, 7X95EE, 8293EE, 83135E, 87882E, 8991EE, 9060EE, 9193EE, 98665E, X4599E, X7827E, E0XEEE, E9022E, ...

Absolute Euler pseudoprimes: 1001, 1515, 9201, 1E901, 23001, 37741, 79E95, 83701, 172XX1, 197X61, 1E6E01, 217281, 277E89, 283901, 3450X1, 401401, 428261, 65E001, 716261, 756961, 85E401, 994401, 9X5301, XX5341, ...

Wolstenholme pseudoprimes: 13885, 806225, 313257597E, 52821X5990679441, 30XE676088869X5407087741, ...

Weak Wolstenholme pseudoprimes: 2XX, 13885, 806225, 313257597E, 52821X5990679441, 30XE676088869X5407087741, ...

Primes by satisfying congruences Edit

Wieferich primes: 771, 2047, ...

Generalized Wieferich primes base 10: 1685, 5E685, ...

Wieferich pairs: (2, 771), (3, 406217), (5, 39E028717), (5, 306E7457755), (6E, 299E), (63E, 134685), (181E, XX57), ...

Wall-Sun-Sun primes: ...

Wolstenholme primes: 98E7, 865687, ...

Wilson primes: 5, 11, 3XE, ...

Wieferich-non-Wilson primes: 2, 3, 866E, ...

Non-generous primes: 2, 1E51E, 1369315921, ...

Primes by base-dependent property Edit

Near-repdigit primes: 15, 17, 1E, 25, 27, 31, 35, 37, 3E, 45, 4E, 51, 57, 5E, 61, 67, 6E, 75, 81, 85, 87, 8E, 91, 95, X7, XE, E5, E7, 117, 11E, 131, 141, 171, 181, 1E1, 221, 225, 255, 277, 2EE, 33E, 377, 447, 455, 4EE, 511, 535, 545, 557, 565, 575, 577, 585, 5E5, 5EE, 611, 655, 661, 665, 66E, 711, 727, 737, 747, 767, 771, 775, 77E, 797, 7EE, 855, 881, 88E, 955, 995, 9EE, X11, X77, XX7, XXE, XEE, E11, E1E, E2E, E6E, EE5, EE7, 1011, 1101, 1115, 1151, 11X1, 1211, 1711, 1911, 1X11, 2111, 2221, 222E, 2555, 3331, 3335, 3337, 3EEE, 4111, 4441, 4445, 444E, 4777, 5155, 5355, 5455, 5515, 5545, 5551, 555E, 5565, 5585, 5595, 55E5, 5777, 5855, 5E55, 6667, 6777, 7111, 7377, 7477, 7577, 7737, 7747, 7757, 7767, 7797, 7877, 7X77, 8777, 8881, 8885, 888E, 8EEE, 9777, 9997, X777, E3EE, E4EE, E555, E777, EE2E, EE3E, EE5E, EEE7, 11151, 11191, 111E1, 11411, 11511, 11811, 11911, 11X11, 11E11, 15555, 17777, 1E111, 22227, 27777, 2EEEE, 33337, 35555, 37777, 44441, 45555, 55535, 55545, 5555E, 55565, 55595, 555E5, 55855, 55E55, 56555, 59555, 66661, 66667, 6666E, 76777, 77177, 77277, 77377, 77771, 7777E, 77787, 77797, 77E77, 7EEEE, 87777, 97777, 9999E, XXXX1, E1111, E1EEE, E2EEE, E3EEE, E5EEE, E7777, E7EEE, E8EEE, EE1EE, EE9EE, EEE2E, EEE7E, EEEE1, EEEE7, 11111E, 111141, 111151, 111191, 1111E1, 111211, 111511, 111711, 112111, 113111, 114111, 11E111, 177777, 1E1111, 1EEEEE, 222227, 311111, 33333E, 355555, 3EEEEE, 444441, 444445, 511111, 525555, 545555, 553555, 555155, 5555E5, 556555, 559555, 565555, 575555, 595555, 655555, 771777, 777177, 777727, 777757, 777767, 777775, 7777E7, 777X77, 778777, 7X7777, 877777, 888885, 888887, 88888E, 999991, 9EEEEE, X11111, E55555, E6EEEE, EXEEEE, EE3EEE, EE8EEE, EE9EEE, EEE3EE, EEE6EE, EEE8EE, EEEE8E, EEEEXE, EEEEE1, EEEEE7, ...

Near-repunit primes: 15, 17, 1E, 31, 51, 61, 81, 91, 117, 11E, 131, 141, 171, 181, 1E1, 511, 611, 711, X11, E11, 1011, 1101, 1115, 1151, 11X1, 1211, 1711, 1911, 1X11, 2111, 4111, 7111, 11151, 11191, 111E1, 11411, 11511, 11811, 11911, 11X11, 11E11, 1E111, E1111, 11111E, 111141, 111151, 111191, 1111E1, 111211, 111511, 111711, 112111, 113111, 114111, 11E111, 1E1111, 311111, 511111, X11111, 111111E, 1111161, 1111171, 1111181, 1111191, 1111411, 1111711, 1111E11, 1121111, 1131111, 11X1111, 1911111, 4111111, 6111111, 11101111, 11111121, 11111131, 11111151, 11111171, 11111811, 11121111, 11131111, 11171111, 11191111, 11711111, 13111111, 31111111, 71111111, 81111111, ...

Minimal primes: 2, 3, 5, 7, E, 11, 61, 81, 91, 401, X41, 4441, X0X1, XXXX1, 44XXX1, XXX0001, XX000001 (there are 15 such numbers)

Weakly primes: 6E8XE77, 88X74X7, E69EEX1, ...

Permutable primes: 2, 3, 5, 7, E, 11, 15, 57, 5E, 111, 117, 11E, 5EEE, 11111, 1111111111111111111, 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111, 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111, ... (only list the smallest representative prime of the permutation set)

Circular primes: 2, 3, 5, 7, E, 11, 15, 57, 5E, 111, 117, 11E, 175, 1E7, 157E, 555E, 11111, 115E77, 1111111111111111111, 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111, 1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111, ... (only list the smallest representative prime of the cycle)

Left-truncatable primes: 2, 3, 5, 7, E, 15, 17, 1E, 25, 27, 35, 37, 3E, 45, 4E, 57, 5E, 67, 6E, 75, 85, 87, 8E, 95, X7, XE, E5, E7, 117, 11E, 125, 13E, 145, 157, 167, 16E, 175, 18E, 195, 1X7, 1E5, 1E7, 217, 21E, 225, 237, 24E, 25E, 267, 285, 295, 2XE, 315, 325, 327, 33E, 34E, 357, 35E, 375, 3XE, 3E5, 3E7, 415, 41E, 427, 435, 437, 457, 45E, 46E, 485, 48E, 517, 51E, 527, 535, 545, 557, 575, 585, 587, 58E, 5E5, 5E7, 615, 617, 61E, 637, 63E, 66E, 675, 687, 68E, 695, 6X7, 71E, 727, 735, 737, 745, 767, 76E, 775, 785, 817, 825, 835, 85E, 867, 88E, 8X7, 8XE, 8E5, 8E7, 91E, 927, 95E, 987, 995, 9X7, 9XE, 9E5, X17, X27, X35, X37, X3E, X45, X4E, X5E, X6E, X87, X95, XX7, XXE, XE7, E15, E1E, E25, E37, E45, E67, E6E, E95, EE5, EE7, 1125, 1167, 118E, 11X7, 11E7, 121E, 125E, 1295, 133E, 13E5, 1437, 1457, 148E, 1517, 1585, 1587, 1615, 168E, 16X7, 1727, 1735, 1745, 176E, 1785, 1825, 18XE, 18E7, 1995, 1X17, 1X35, 1X45, 1X6E, 1X87, 1XXE, 1XE7, 1E15, 1E67, 1EE5, 211E, 21X7, 21E7, 221E, 224E, 2267, 2325, 2327, 234E, 23XE, 23E7, 2415, 2435, 2457, 2485, 248E, 2535, 2545, 2557, 258E, 2615, 2617, 2637, 2675, 2687, 26X7, 2737, 2745, 276E, 2825, 2835, 285E, 2927, 29E5, 2X35, 2X3E, 2X5E, 2X87, 2X95, 2XX7, 2E67, 2E95, 2EE7, 3117, 311E, 3145, 3167, 3175, 3195, 3225, 324E, 3285, 3327, 3357, 341E, 3427, 3435, 3457, 346E, 3485, 348E, 3517, 351E, 3587, 358E, 35E7, 3617, 3637, 366E, 3687, 3767, 38E5, 395E, 39X7, 3X95, 3XE7, 3E1E, 3EE7, 411E, 413E, 4145, 41E5, 4217, 4225, 4237, 42XE, 4357, 4375, 43E5, 4435, 445E, 4485, 4535, 4557, 4615, 463E, 4687, 468E, 4727, 4737, 4775, 4825, 488E, 48X7, 491E, 4987, 4X5E, 4E15, 4E37, 4E95, 5117, 511E, 513E, 5145, 5167, 516E, 51E7, 521E, 5237, 525E, 5267, 5285, 5295, 52XE, 5327, 5375, 53XE, 53E5, 541E, 5435, 5457, 548E, 5527, 5545, 5585, 5587, 558E, 55E5, 5615, 5637, 563E, 566E, 56X7, 5727, 5735, 5785, 5817, 5835, 5867, 58XE, 58E5, 58E7, 5927, 595E, 5987, 59XE, 5X17, 5X27, 5X45, 5X4E, 5X5E, 5X6E, 5X95, 5XXE, 5E1E, 5E25, 5E37, 5E67, 5E95, 6117, 613E, 6175, 61X7, 61E7, 6327, 633E, 634E, 6357, 6375, 63E5, 63E7, 6437, 646E, 6527, 6575, 6617, 663E, 6675, 671E, 6825, 68E5, 6995, 69E5, 6X17, 6X27, 6X4E, 6XXE, 6E15, 6E25, 711E, 7125, 716E, 7175, 718E, 71E5, 71E7, 7225, 7295, 73XE, 7415, 7427, 7435, 7457, 745E, 7585, 7587, 758E, 75E5, 7617, 761E, 7637, 763E, 766E, 7675, 7687, 771E, 7737, 7767, 776E, 7817, 7867, 795E, 79XE, 7X27, 7X35, 7X6E, 7X95, 7E15, 7E25, 7E37, 7E67, 7E6E, 8125, 816E, 8175, 8195, 81E7, 82XE, 833E, 8357, 835E, 83XE, 841E, 8427, 8517, 8575, 85E7, 8637, 866E, 8835, 888E, 88XE, 8995, 8X37, 8X95, 8XX7, 8E37, 8E45, 9145, 918E, 9195, 91X7, 9217, 9267, 92XE, 9315, 9375, 9485, 9557, 9575, 95E7, 9615, 9687, 9695, 9737, 9775, 9785, 988E, 98X7, 98E7, 991E, 9927, 99XE, 9X17, 9X35, 9XXE, 9E1E, 9E45, X117, X13E, X145, X157, X1X7, X225, X24E, X285, X295, X315, X35E, X3E7, X457, X46E, X485, X535, X575, X63E, X675, X68E, X695, X71E, X735, X745, X767, X76E, X817, X825, X85E, X88E, X987, X9E5, XX45, XX6E, XXE7, XE45, XE6E, XEE5, E125, E157, E167, E18E, E1E5, E21E, E2XE, E315, E325, E327, E357, E3XE, E3E5, E51E, E527, E5E7, E615, E617, E63E, E675, E68E, E727, E785, E835, E85E, E8X7, E8E5, E91E, E987, E9X7, E9E5, EX27, EX4E, EX87, EEE7, 11125, 1133E, 11517, 118XE, 11995, 11X45, 11X87, 11XE7, 1211E, 1234E, 123E7, 12435, 12535, 12557, 12615, 126X7, 12737, 12745, 12825, 12X35, 12X3E, 12X5E, 12XX7, 12E95, 13117, 13175, 13195, 13225, 1324E, 13285, 13485, 13E1E, 14535, 1463E, 1468E, 14727, 148X7, 1513E, 15145, 15167, 1548E, 15585, 1558E, 1566E, 156X7, 15927, 159XE, 15X45, 15E1E, 15E67, 16117, 16175, 161E7, 16327, 1633E, 16437, 16675, 169E5, 16X17, 16X4E, 16E25, 1711E, 1718E, 171E5, 17225, 1745E, 17637, 1771E, 1776E, 179XE, 17X27, 17X35, 17E6E, 181E7, 18357, 1841E, 185E7, 1866E, 18835, 18995, 18E37, 191X7, 19375, 19575, 19737, 19785, 1988E, 198X7, 198E7, 1991E, 19X17, 1X1X7, 1X225, 1X485, 1X695, 1X71E, 1X767, 1X76E, 1X85E, 1XX45, 1E2XE, 1E315, 1E51E, 1E617, 1E675, 1E785, 1E8X7, 1E987, 1E9E5, 1EX4E, 1EEE7, 2118E, 21585, 2168E, 21735, 21825, 218XE, 218E7, 21XXE, 22325, 223XE, 22737, 22745, 22X5E, 22X87, 22E67, 23117, 23145, 23175, 23327, 2348E, 23637, 23687, 23767, 2395E, 239X7, 24357, 243E5, 2445E, 24557, 24775, 248X7, 24987, 2521E, 25295, 255E5, 25615, 2566E, 25727, 25817, 25867, 25927, 2595E, 25987, 259XE, 25XXE, 25E1E, 26375, 268E5, 26X17, 26XXE, 26E15, 26E25, 2718E, 271E5, 27675, 27867, 27X35, 28125, 28175, 281E7, 2835E, 28427, 28835, 28X37, 28E37, 29145, 29217, 29687, 299XE, 29E1E, 29E45, 2X13E, 2X157, 2X1X7, 2X225, 2X285, 2X535, 2X575, 2X63E, 2X68E, 2X695, 2XXE7, 2E167, 2E1E5, 2E2XE, 2E327, 2E3XE, 2E51E, 2E527, 2E5E7, 2E617, 2E727, 2E835, 2E85E, 2E987, 2EX4E, 31125, 3118E, 31457, 31615, 316X7, 31745, 3176E, 31X87, 31E15, 31E67, 31EE5, 3211E, 3248E, 3258E, 32637, 32675, 32X95, 32XX7, 3311E, 33145, 33225, 33357, 3358E, 34145, 341E5, 34217, 342XE, 34435, 3445E, 34615, 3488E, 3491E, 35117, 3513E, 35285, 35295, 353XE, 35587, 35727, 35817, 358E7, 35X17, 35X45, 35E25, 36117, 3613E, 361E7, 36327, 36527, 36617, 36675, 3671E, 36825, 36X27, 36E15, 36E25, 3711E, 3716E, 371E7, 37415, 375E5, 37637, 37767, 379XE, 37E37, 37E67, 3816E, 38195, 3833E, 3841E, 38517, 3888E, 38E37, 39195, 391X7, 392XE, 39485, 39575, 39695, 39775, 398X7, 39927, 399XE, 39X35, 39E1E, 39E45, 3X157, 3X295, 3X46E, 3X735, 3X825, 3X88E, 3E167, 3E21E, 3E325, 3E527, 3EX87, 3EEE7, 41517, 4168E, 41727, 41745, 41785, 41825, 41X17, 41XXE, 4221E, 42267, 42325, 42415, 4248E, 42557, 42615, 4276E, 4285E, 429E5, 42X35, 42X3E, 42X5E, 42X87, 43327, 43457, 4348E, 43517, 43587, 438E5, 43X95, 4411E, 44145, 44217, 44225, 44237, 44435, 44485, 44535, 44687, 44737, 44X5E, 44E15, 45145, 45167, 4516E, 451E7, 4525E, 45267, 452XE, 453E5, 45457, 45545, 45727, 45785, 458XE, 4595E, 45X45, 45X4E, 45E95, 4613E, 46357, 4646E, 46527, 46575, 4671E, 46X17, 46X4E, 47125, 4716E, 47175, 47295, 473XE, 47415, 47617, 47637, 4766E, 47817, 47E37, 47E67, 48175, 482XE, 4841E, 48575, 48835, 48X37, 48X95, 49375, 49485, 49615, 498E7, 49927, 499XE, 49E1E, 4X285, 4X315, 4X735, 4X88E, 4XX6E, 4XE6E, 4E18E, 4E1E5, 4E357, 4E5E7, 4E8X7, 4EX27, 4EX4E, 511E7, 5125E, 513E5, 518E7, 51X17, 51XXE, 51E67, 52327, 523XE, 52535, 52557, 52675, 526X7, 52737, 5285E, 52927, 52E67, 53175, 53195, 5324E, 53285, 53357, 53427, 53435, 53457, 53485, 5348E, 53687, 53EE7, 54217, 54225, 54237, 54357, 54485, 54825, 548X7, 54X5E, 54E95, 55167, 551E7, 55267, 5541E, 55545, 55587, 5558E, 555E5, 55637, 55727, 55835, 55927, 55987, 55X17, 55X4E, 55X6E, 55XXE, 55E25, 55E37, 55E67, 56175, 561X7, 56357, 563E5, 56527, 56675, 5671E, 568E5, 56X4E, 57175, 5718E, 57295, 5745E, 5761E, 5763E, 57737, 5776E, 579XE, 57X95, 57E25, 57E6E, 5816E, 581E7, 58637, 588XE, 58995, 58X95, 58E37, 59145, 59195, 591X7, 59575, 595E7, 59687, 59695, 59737, 598X7, 5991E, 59X17, 59X35, 5X117, 5X13E, 5X145, 5X157, 5X285, 5X3E7, 5X485, 5X535, 5X68E, 5X695, 5X745, 5X76E, 5X817, 5X88E, 5X9E5, 5XX45, 5XE45, 5E125, 5E18E, 5E527, 5E5E7, 5E727, 5E85E, 5E987, 5E9E5, 5EX87, 61125, 613E5, 6148E, 61587, 61X45, 61E67, 62267, 62435, 62485, 62557, 62737, 62XX7, 63117, 63225, 63357, 6341E, 6346E, 6351E, 63587, 63617, 6366E, 63767, 639X7, 6413E, 64375, 6468E, 64727, 648X7, 6491E, 64E15, 65145, 65167, 6516E, 65237, 65327, 65435, 65585, 65637, 6563E, 656X7, 65817, 65867, 658XE, 65X95, 65E25, 65E37, 65E95, 66117, 66175, 66357, 663E5, 66437, 66575, 66995, 669E5, 66E25, 6716E, 67427, 6758E, 675E5, 6761E, 67867, 67X27, 67X35, 67E15, 67E37, 67E6E, 68195, 68357, 6866E, 69315, 695E7, 69XXE, 6X157, 6X295, 6X63E, 6X695, 6X745, 6X76E, 6X817, 6XE45, 6E315, 6E51E, 6E617, 6E9X7, 6EX87, 711X7, 711E7, 713E5, 71587, 71615, 71727, 71825, 718E7, 71X17, 71X35, 71X6E, 721E7, 72325, 7234E, 72457, 72545, 72615, 72617, 72675, 729E5, 72X35, 72X87, 7311E, 73145, 73167, 73457, 73485, 7358E, 73637, 73687, 73767, 7395E, 7411E, 74225, 74357, 74435, 74557, 748X7, 75267, 75285, 752XE, 75375, 75435, 75527, 75585, 7558E, 75637, 75735, 758E5, 758E7, 75927, 75987, 759XE, 75X17, 75X4E, 75X5E, 75E1E, 7634E, 76357, 76375, 763E5, 76437, 76575, 76X17, 76X4E, 76E25, 77295, 77415, 77587, 77675, 77817, 77X6E, 77E15, 78175, 78195, 783XE, 78835, 78E37, 79267, 792XE, 795E7, 798X7, 7X13E, 7X145, 7X1X7, 7X225, 7X24E, 7X285, 7X315, 7X3E7, 7X485, 7X535, 7X68E, 7X695, 7X735, 7X825, 7XXE7, 7E157, 7E21E, 7E325, 7E327, 7E3E5, 7E527, 7E615, 7E85E, 7E8E5, 7E91E, 7E987, 7EX87, 7EEE7, 811X7, 811E7, 81745, 818XE, 81X35, 81X87, 81E15, 821E7, 8224E, 82415, 82457, 82485, 82617, 82835, 829E5, 82X87, 82E67, 83195, 83357, 8341E, 83427, 83517, 8395E, 841E5, 842XE, 84535, 84727, 84737, 84775, 84825, 848X7, 84X5E, 85237, 85285, 85295, 85327, 8548E, 85585, 856X7, 85817, 85867, 858XE, 85X45, 85X6E, 85X95, 85E67, 86117, 86175, 8634E, 86375, 86527, 8663E, 86675, 8711E, 87225, 87435, 87457, 87587, 8766E, 87687, 8795E, 879XE, 87E6E, 8816E, 88195, 88357, 8841E, 891X7, 89315, 89695, 89775, 89785, 899XE, 89X17, 89X35, 89E1E, 8X1X7, 8X295, 8X71E, 8X76E, 8X987, 8E125, 8E1E5, 8E327, 8E675, 8E85E, 8EEE7, 9118E, 9125E, 91295, 9133E, 91727, 91735, 918E7, 9221E, 92327, 9248E, 92675, 92687, 926X7, 92745, 92X35, 92EE7, 93327, 93357, 9341E, 93517, 93587, 935E7, 93XE7, 9411E, 9413E, 94375, 94557, 9468E, 94825, 94X5E, 94E15, 94E37, 95117, 9541E, 95457, 95587, 95637, 95727, 95987, 95X95, 95E1E, 95E67, 95E95, 9646E, 96825, 968E5, 96X27, 96X4E, 96E15, 97175, 9718E, 97225, 97415, 97435, 97617, 97675, 97687, 9771E, 97767, 9776E, 9795E, 97X27, 97X35, 97X95, 97E67, 981E7, 982XE, 9833E, 983XE, 985E7, 988XE, 98X95, 99615, 99737, 99X35, 9X117, 9X145, 9X24E, 9X315, 9X46E, 9X675, 9XX45, 9XX6E, 9XXE7, 9E18E, 9E1E5, 9E2XE, 9E315, 9E527, 9E63E, 9E68E, 9E8X7, 9E91E, X1167, X11X7, X11E7, X133E, X1437, X148E, X1727, X1X87, X1XXE, X1EE5, X2435, X2485, X248E, X258E, X2637, X2737, X2745, X2825, X285E, X2X35, X2X95, X2XX7, X2E67, X3175, X3195, X3357, X346E, X351E, X366E, X38E5, X411E, X413E, X4145, X4225, X4237, X42XE, X4357, X4615, X463E, X4687, X488E, X4E37, X5295, X53E5, X5435, X5527, X563E, X566E, X56X7, X595E, X5X4E, X5E95, X6327, X6357, X6375, X6527, X6617, X6675, X68E5, X6X17, X7125, X716E, X7175, X718E, X73XE, X7427, X7587, X766E, X7767, X7867, X7E25, X7E37, X816E, X82XE, X83XE, X85E7, X9217, X92XE, X9315, X9485, X9737, X988E, X9927, XX13E, XX1X7, XX315, XX35E, XX46E, XX68E, XX71E, XX735, XX825, XXX45, XXE6E, XE1E5, XE315, XE3E5, XE51E, XE617, XE727, XE835, E1167, E11E7, E133E, E13E5, E1457, E148E, E1517, E1587, E1727, E1735, E1785, E18XE, E1X45, E1X6E, E1X87, E211E, E21X7, E2267, E2325, E2615, E2637, E276E, E3145, E3285, E3327, E341E, E3457, E346E, E3587, E35E7, E3637, E3X95, E3EE7, E413E, E41E5, E43E5, E4615, E463E, E468E, E48X7, E4987, E4X5E, E4E15, E51E7, E5237, E5295, E5375, E5457, E5527, E5545, E558E, E566E, E5835, E5867, E58XE, E595E, E59XE, E5X27, E5X45, E5X5E, E5XXE, E5E37, E6117, E61E7, E633E, E6575, E6617, E6675, E68E5, E6995, E6X4E, E71E5, E7225, E7585, E75E5, E761E, E7817, E795E, E7X27, E7E15, E8125, E816E, E833E, E8357, E83XE, E841E, E8517, E8575, E85E7, E866E, E88XE, E8X37, E8X95, E8XX7, E9575, E95E7, E9615, E98E7, E9X17, E9X35, EX157, EX24E, EX675, EX825, EX85E, EX9E5, EXX6E, EE315, EE357, EE51E, EE675, EE9E5, EEEE7, 112435, 112XX7, 113E1E, 11548E, 115585, 116117, 1161E7, 116E25, 11745E, 117637, 119375, 119737, 1198E7, 11X76E, 11E51E, 12118E, 121735, 121825, 121XXE, 122745, 122X5E, 123327, 1239X7, 12566E, 125727, 125987, 126E15, 1271E5, 128125, 1281E7, 12835E, 128X37, 1299XE, 12E2XE, 12E987, 131125, 131745, 13248E, 132675, 13311E, 1341E5, 134217, 134435, 134615, 13488E, 135295, 135817, 136117, 136825, 136E15, 1371E7, 137767, 137E37, 137E67, 13833E, 13841E, 1391X7, 1392XE, 139575, 139775, 1398X7, 13X295, 13E167, 13E21E, 13E325, 141X17, 142325, 142615, 14516E, 145457, 14646E, 147295, 14766E, 148835, 149375, 149615, 14E5E7, 151XXE, 1526X7, 153435, 153485, 153EE7, 154217, 15558E, 155637, 155727, 155XXE, 1561X7, 156357, 156675, 15671E, 156X4E, 15776E, 157X95, 157E25, 158637, 158X95, 159575, 15X13E, 15X157, 15X76E, 15E527, 15EX87, 161125, 161587, 161X45, 161E67, 162267, 162557, 1648X7, 164E15, 165327, 165585, 1658XE, 16716E, 168195, 1695E7, 16X157, 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81866E, 819785, 81988E, 8198X7, 81991E, 81X695, 81X767, 81E617, 81E675, 82168E, 822E67, 823145, 8248X7, 82521E, 825727, 826375, 826XXE, 827675, 8299XE, 829E1E, 82X1X7, 82X285, 82XXE7, 82E167, 82E1E5, 82E527, 82E835, 831E15, 83258E, 832637, 834145, 834615, 835117, 83613E, 836527, 83671E, 836X27, 836E15, 83716E, 837E37, 838517, 839195, 8399XE, 83X735, 84168E, 841727, 84221E, 842X35, 842X87, 843327, 84411E, 844435, 844535, 844687, 845167, 84525E, 845267, 8452XE, 845X45, 845E95, 846575, 847125, 847175, 848X37, 849375, 84X285, 84XX6E, 84E18E, 84E5E7, 84EX4E, 851X17, 851E67, 852535, 8526X7, 853687, 853EE7, 854X5E, 855545, 855835, 855X6E, 855XXE, 856357, 8563E5, 8568E5, 857295, 85761E, 8581E7, 858637, 8598X7, 85X117, 85X68E, 85X76E, 85XX45, 85E987, 85EX87, 861125, 8613E5, 861587, 8648X7, 865145, 86516E, 865237, 865867, 865E37, 866117, 866357, 866575, 866995, 867X35, 867E15, 8695E7, 86X157, 86X745, 86E315, 86E617, 86E9X7, 872X87, 87311E, 873145, 873485, 873637, 875285, 8752XE, 875735, 877675, 8795E7, 87X68E, 87X735, 87XXE7, 87E85E, 87EX87, 8821E7, 882485, 882617, 8829E5, 8841E5, 8858XE, 886375, 88711E, 887E6E, 8891X7, 88X987, 89125E, 89248E, 892675, 89341E, 893587, 89411E, 894557, 894825, 89541E, 895457, 895637, 895987, 895E67, 896X4E, 896E15, 897175, 897675, 89771E, 897X35, 8982XE, 89833E, 8988XE, 899615, 899737, 89X117, 89X145, 89X315, 89E18E, 89E315, 89E8X7, 8X2485, 8X2637, 8X2745, 8X3175, 8X3195, 8X463E, 8X5435, 8X6327, 8X6617, 8X6X17, 8X85E7, 8X988E, 8XX13E, 8XE315, 8XE617, 8XE727, 8E1785, 8E1X87, 8E3EE7, 8E48X7, 8E4987, 8E5237, 8E5375, 8E5527, 8E633E, 8E68E5, 8E71E5, 8E8125, 8E866E, 8E88XE, 8E8X95, 8E8XX7, 8EE315, 8EE357, 911XE7, 91211E, 912557, 912825, 912E95, 913285, 915145, 915167, 91771E, 918995, 91X485, 91X695, 91E987, 921735, 922745, 923117, 923175, 92348E, 923687, 9243E5, 9248X7, 925867, 925927, 925987, 927675, 929687, 929E1E, 92X535, 92X575, 92E3XE, 92E527, 931125, 93311E, 933225, 93491E, 9353XE, 935587, 9361E7, 93716E, 937637, 9391X7, 9398X7, 93EX87, 941517, 941727, 94221E, 942325, 942415, 942615, 942X5E, 943457, 944435, 944485, 94516E, 945785, 94595E, 94646E, 946575, 946X17, 948175, 94XE6E, 94E357, 9511E7, 951E67, 952675, 953285, 953357, 953427, 955587, 956675, 9579XE, 95816E, 958995, 9591X7, 959X35, 95X745, 95X76E, 95XX45, 95E85E, 962435, 963117, 96346E, 96351E, 964375, 964E15, 965E25, 967427, 96758E, 967X27, 967X35, 967E15, 9711X7, 971615, 972325, 9729E5, 972X35, 973145, 973767, 975267, 975585, 975637, 9758E7, 97634E, 976375, 976X17, 977817, 977X6E, 9783XE, 97X315, 97X485, 97E157, 97E21E, 97E327, 97E527, 97E615, 981X87, 982485, 984737, 984825, 985295, 986675, 987687, 98795E, 98841E, 989785, 98X76E, 98E675, 98EEE7, 991295, 991727, 991735, 99248E, 992X35, 992EE7, 993587, 99541E, 995E95, 996X27, 996E15, 99718E, 997617, 9981E7, 9983XE, 99X315, 99E18E, 99E68E, 99E91E, 9X148E, 9X2X95, 9X2XX7, 9X3357, 9X463E, 9X5295, 9X53E5, 9X6375, 9X6527, 9X7587, 9X82XE, 9X9485, 9XX315, 9XX71E, 9XXX45, 9E1517, 9E211E, 9E2267, 9E2637, 9E276E, 9E3285, 9E3X95, 9E413E, 9E5457, 9E558E, 9E566E, 9E5E37, 9E6575, 9E68E5, 9E6995, 9E7585, 9E761E, 9E7817, 9E795E, 9E833E, 9E83XE, 9E8517, 9E9615, 9E9X35, 9EX24E, 9EXX6E, 9EE357, X123E7, X126X7, X1324E, X13485, X14727, X15167, X1548E, X15585, X1566E, X156X7, X15X45, X161E7, X16E25, X17225, X17637, X17X35, X181E7, X18357, X185E7, X18995, X19575, X19785, X1X1X7, X1X225, X1X485, X1X767, X1X85E, X1E785, X1E987, X21825, X22325, X2395E, X24987, X255E5, X2566E, X2718E, X281E7, X28835, X29217, X2X535, X2E1E5, X2E2XE, X2E617, X2E835, X3118E, X3176E, X31E15, X32637, X32XX7, X34615, X353XE, X35817, X35X45, X361E7, X3671E, X371E7, X37415, X37767, X37E37, X3816E, X38195, X3833E, X3888E, X391X7, X39485, X39775, X3E167, X41727, X41XXE, X4285E, X42X87, X43517, X4411E, X44217, X44E15, X4516E, X451E7, X452XE, X45457, X45785, X46527, X46575, X4671E, X46X4E, X47E37, X482XE, X49375, X498E7, X4E357, X4E5E7, X4E8X7, X52327, X5285E, X5348E, X53687, X53EE7, X54237, X5541E, X55545, X55587, X55727, X55X6E, X55E37, X563E5, X5718E, X5745E, X5763E, X579XE, X57E6E, X58637, X588XE, X58X95, X591X7, X59687, X5X117, X5X13E, X5X157, X5X745, X5X817, X5X88E, X6148E, X61587, X61X45, X62485, X62737, X63225, X6346E, X63767, X6468E, X648X7, X6491E, X65145, X6516E, X65637, X6563E, X65E95, X66117, X66437, X66575, X66995, X67E15, X67E6E, X68195, X68357, X6866E, X69315, X69XXE, X6X745, X6XE45, X6E617, X711E7, X7234E, X73167, X73485, X7395E, X7411E, X748X7, X75527, X75585, X75637, X75735, X75927, X76357, X763E5, X76E25, X79267, X7X13E, X7X535, X7X695, X7E21E, X7E325, X7E327, X811X7, X821E7, X83427, X83517, X84727, X848X7, X85585, X85X45, X85X95, X85E67, X87457, X899XE, X89X35, X89E1E, X8E675, X9118E, X9133E, X918E7, X92745, X92EE7, X94375, X95E1E, X95E67, X9646E, X96X4E, X96E15, X97225, X982XE, X98X95, X9X675, X9E18E, X9E315, X9E63E, XX133E, XX1437, XX1X87, XX1XXE, XX1EE5, XX2X35, XX38E5, XX411E, XX4145, XX42XE, XX4615, XX5435, XX5527, XX595E, XX5X4E, XX5E95, XX6527, XX82XE, XX85E7, XX988E, XX9927, XXX46E, XXX735, XXX825, XXXE6E, XXE617, XE1167, XE13E5, XE1517, XE1587, XE1735, XE18XE, XE1X45, XE1X6E, XE2267, XE3327, XE3637, XE3X95, XE3EE7, XE4615, XE468E, XE4987, XE4E15, XE5457, XE5545, XE5835, XE5867, XE59XE, XE5E37, XE68E5, XE7X27, XE83XE, XE8517, XE8575, XE866E, XE98E7, XE9X17, XEX9E5, XEE357, E11125, E12435, E13E1E, E1468E, E14727, E15E67, E16117, E16175, E161E7, E17637, E1841E, E185E7, E18E37, E1988E, E198X7, E198E7, E1X76E, E1E9E5, E1EEE7, E223XE, E2348E, E2445E, E24775, E26X17, E26XXE, E2718E, E27675, E2X225, E2E1E5, E2EX4E, E3118E, E3176E, E3211E, E32XX7, E33225, E33357, E3358E, E34145, E342XE, E3445E, E3488E, E3491E, E358E7, E35X45, E361E7, E36327, E36825, E3711E, E379XE, E3816E, E38195, E3833E, E38E37, E392XE, E39695, E39927, E39E1E, E39E45, E3X46E, E3X825, E3EX87, E41785, E41X17, E42615, E4276E, E42X35, E42X5E, E45267, E45545, E45X45, E45E95, E46357, E46575, E4716E, E47295, E47637, E4766E, E482XE, E48575, E48835, E511E7, E518E7, E51E67, E526X7, E53485, E54217, E54357, E54485, E55267, E5558E, E555E5, E55727, E55987, E55X4E, E56527, E56X4E, E57737, E581E7, E58E37, E598X7, E5X145, E5X745, E5XE45, E5E85E, E5E987, E6148E, E62435, E62485, E6341E, E6366E, E64375, E648X7, E6491E, E64E15, E6563E, E656X7, E65867, E65X95, E6716E, E67E6E, E6866E, E6X63E, E6X745, E7234E, E72617, E73167, E74435, E74557, E75927, E759XE, E75X17, E76575, E77415, E7X145, E7X24E, E7X735, E7E527, E82415, E829E5, E82X87, E83357, E83517, E8395E, E841E5, E84737, E85285, E85295, E85585, E85817, E85X95, E86175, E86375, E86527, E8663E, E87225, E87435, E87687, E8816E, E8841E, E89785, E899XE, E89X17, E8X1X7, E8E125, E92X35, E93517, E93XE7, E94375, E95E67, E968E5, E97767, E9795E, E9833E, E983XE, E9X24E, E9E8X7, E9E91E, EX11X7, EX1437, EX2745, EX2X95, EX3195, EX4145, EX6675, EX7175, EX816E, EXX13E, EXX315, EXX46E, EXX71E, EXXE6E, EXE3E5, EE1167, EE11E7, EE1587, EE1X87, EE211E, EE3145, EE413E, EE43E5, EE4987, EE5237, EE5295, EE5375, EE5527, EE5545, EE58XE, EE6117, EE6675, EE795E, EE816E, EE833E, EE841E, EE85E7, EE9X35, EEX825, EEX9E5, EEE675, EEEEE7, ..., 471X34X164259EX16E324XE8X32E7817 (there are 824E1 such numbers)

Right-truncatable primes: 2, 3, 5, 7, E, 25, 27, 31, 35, 37, 3E, 51, 57, 5E, 75, E5, E7, 251, 255, 25E, 271, 277, 27E, 315, 357, 35E, 375, 377, 3E5, 3E7, 511, 517, 51E, 575, 577, 5E1, 5E5, 5E7, 5EE, 751, E71, 2555, 2557, 2715, 2717, 2771, 27E1, 27E7, 3155, 315E, 35E1, 35E7, 35EE, 3755, 375E, 3771, 377E, 3E51, 3E55, 3E75, 3E7E, 5117, 511E, 51E7, 575E, 5771, 5777, 577E, 5E17, 5E1E, 5E55, 5E75, 5EE1, 7511, E711, 25551, 25577, 27151, 27155, 2715E, 27E17, 27E77, 31551, 315E5, 375E5, 375EE, 37715, 3E515, 3E557, 3E55E, 3E7E5, 511E7, 51E71, 575EE, 57711, 57717, 577E7, 577EE, 5E175, 5E1E7, 5E55E, 5E751, 5EE17, 75111, 75115, E7111, E7115, 255515, 255775, 271555, 2715E1, 27E177, 27E17E, 27E771, 375E55, 375EE5, 377151, 3E5155, 3E5157, 3E515E, 3E5571, 3E557E, 3E55E7, 3E7E5E, 511E77, 51E717, 575EEE, 577117, 577175, 577E75, 5E55E1, 5E55EE, 5EE171, 751115, E71157, 2715551, 27E7715, 27E7717, 375E555, 375E557, 375EE5E, 3771515, 3E5155E, 3E5157E, 3E55715, 3E557E5, 3E557E7, 3E55E71, 3E55E77, 3E55E7E, 511E775, 5771171, 5771755, 5E55E1E, 5E55EE1, 5EE1711, 7511151, 7511157, 27E77151, 27E7715E, 27E77175, 375EE5E5, 3E5155EE, 3E5157E7, 3E557151, 3E557E75, 3E55E775, 3E55E7E5, 3E55E7EE, 511E7755, 5E55E1E5, 27E771511, 27E771755, 375EE5E51, 375EE5E55, 3E5571515, 3E55E7755, 3E55E7E57, 375EE5E515 (there are 12E such numbers)

Two-sided primes: 2, 3, 5, 7, E, 25, 27, 35, 37, 3E, 57, 5E, 75, E5, E7, 25E, 315, 357, 35E, 375, 3E5, 3E7, 517, 51E, 575, 5E5, 5E7, 2557, 35E7, 5117, 511E, 51E7, 5E1E, 375E5, 511E7 (there are 2E such numbers)