A natural number (i.e. 1, 2, 3, 4, 5, 6, etc.) is called a prime number (or a prime) if it has exactly two positive divisors, 1 and the number itself. Natural numbers greater than 1 that are not prime are called composite.
The first 1X5 prime numbers (all the prime numbers less than 1000) are:
- 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 primes end with 1, 5, 7 or E. The first k such that all of 10k, 10k + 1, 10k + 2, ..., 10k + E are composite is 38, i.e. all of 380, 381, 382, ..., 38E are composite. (numbers k such that all of 10k, 10k + 1, 10k + 2, ..., 10k + E are composite are 38, 5X, 60, 62, 89, 93, 94, E0, E5, E8, ...)
The maximal gaps of the primes less than 1000 is (927, 955), the gap (the difference of these two numbers) is 2X (i.e. there are 29 consecutive composites between 927 and 955).
The density of primes end with 1 is a relatively low (< 1/4), but the density of primes end with 5, 7 and E are nearly equal (all are a little more than 1/4). (i.e. for a given natural number N, the number of primes end with 1 less than N is usually smaller than the number of primes end with 5 (or 7, or E) less than N) e.g. For all 1426 primes < 10000, there are 3E8 primes (2E.3%) end with 1, 410 primes (30.3%) end with 5, 412 primes (30.5%) end with 7, 406 primes (2E.E%) end with E. It is conjectured that for every natural number N ≥ 10, the number of primes end with 1 less than N is smaller than the number of primes end with 5 (or 7, or E) less than N. (Note: the percentage in this section are also in dozenal, i.e. 20% means 0.2 or 20/100 = 1/6, 36% means 0.36 or 36/100 = 7/20, 58.7% means 0.587 or 587/1000)
13665 is the smallest prime p such that the number of primes end with 1 or 5 ≤ p is more than the number of primes end with 3, 7 or E ≤ p (i.e. congruent to 1 or 3 mod 4, see [1], of course, 3 is the only prime ends with 3). Besides, 9X03693X831 is the smallest prime p such that the number of primes end with 1 or 7 ≤ p is more than the number of primes end with 2, 5 or E ≤ p (i.e. congruent to 1 or 2 mod 3, see [2], of course, 2 is the only prime ends with 2). Besides, 2E69E is the smallest prime p such that the number of primes end with 1 or E ≤ p is more than the number of primes end with 5 or 7 ≤ p (of course, 2 is the only prime ends with 2, and 3 is the only prime ends with 3). Question: What is the smallest prime p such that the number of primes end with 1 ≤ p is more than the number of primes end with d ≤ p for at least one of d = 5, 7 or E?
"prime race" of last digit | the smallest number which (the set which has "1") wins |
{1, 5} v.s. {7, E} | 5 |
{1, 7} v.s. {5, E} | 9X03693X821 |
{1, E} v.s. {5, 7} | 2E69E |
{1, 5} v.s. {3, 7, E} | 13665 |
{1, 7} v.s. {2, 5, E} | 9X03693X831 |
{1, E} v.s. {2, 5, 7} | 2EX51 |
{1} v.s. {5} | ??? |
{1} v.s. {7} | ??? |
{1} v.s. {E} | ??? |
All squares of primes (except 2 and 3) end with 1.
There are 2X primes between 1 and 100, 23 primes between 101 and 200, 1X primes between 201 and 300, 1X primes between 301 and 400, 1E primes between 401 and 500, 1X primes between 501 and 600, 16 primes between 601 and 700, 1X primes between 701 and 800, 18 primes between 801 and 900, 16 primes between 901 and X00, 1X primes between X01 and E00, 17 primes between E01 and 1000.
There are about N/ln(N) primes less than N, where ln is the natural logarithm, i.e. the logarithm with base e = 2.875236069821... (see prime number theorem), thus there are about
primes less than 10n (i.e. with at most n digits), and ln(10) = 2.599E035E8169...
N | total numbers of primes less than N | numbers of primes end with 1 less than N | numbers of primes end with 5 less than N | numbers of primes end with 7 less than N | numbers of primes end with E less than N |
---|---|---|---|---|---|
10 | 5 | 0 | 1 | 1 | 1 |
40 | 13 | 2 | 4 | 4 | 3 |
100 | 2X | 6 | 9 | 9 | 8 |
400 | 89 | 1X | 23 | 23 | 23 |
1000 | 1X5 | 51 | 59 | 59 | 58 |
4000 | 621 | 157 | 16X | 170 | 166 |
10000 | 1426 | 3E8 | 410 | 412 | 406 |
40000 | 4833 | 11X4 | 121E | 1219 | 1211 |
100000 | 10852 | 31X4 | 3225 | 3225 | 321X |
400000 | 3928E | E333 | E377 | E3E9 | E3X2 |
1000000 | X4E20 | 27204 | 27295 | 2730X | 27333 |
In the following table, numbers shaded in black are units (0-almost primes), numbers shaded in cyan are primes (1-almost primes), numbers shaded in magenta are semiprimes (2-almost primes), numbers shaded in yellow are 3-almost primes, numbers shaded in blue are 4-almost primes, numbers shaded in green are 5-almost primes, and numbers shaded in red are 6-almost primes.
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 |
101 | 102 | 103 | 104 | 105 | 106 | 107 | 108 | 109 | 10X | 10E | 110 |
111 | 112 | 113 | 114 | 115 | 116 | 117 | 118 | 119 | 11X | 11E | 120 |
121 | 122 | 123 | 124 | 125 | 126 | 127 | 128 | 129 | 12X | 12E | 130 |
131 | 132 | 133 | 134 | 135 | 136 | 137 | 138 | 139 | 13X | 13E | 140 |
141 | 142 | 143 | 144 | 145 | 146 | 147 | 148 | 149 | 14X | 14E | 150 |
151 | 152 | 153 | 154 | 155 | 156 | 157 | 158 | 159 | 15X | 15E | 160 |
161 | 162 | 163 | 164 | 165 | 166 | 167 | 168 | 169 | 16X | 16E | 170 |
171 | 172 | 173 | 174 | 175 | 176 | 177 | 178 | 179 | 17X | 17E | 180 |
181 | 182 | 183 | 184 | 185 | 186 | 187 | 188 | 189 | 18X | 18E | 190 |
191 | 192 | 193 | 194 | 195 | 196 | 197 | 198 | 199 | 19X | 19E | 1X0 |
1X1 | 1X2 | 1X3 | 1X4 | 1X5 | 1X6 | 1X7 | 1X8 | 1X9 | 1XX | 1XE | 1E0 |
1E1 | 1E2 | 1E3 | 1E4 | 1E5 | 1E6 | 1E7 | 1E8 | 1E9 | 1EX | 1EE | 200 |
201 | 202 | 203 | 204 | 205 | 206 | 207 | 208 | 209 | 20X | 20E | 210 |
211 | 212 | 213 | 214 | 215 | 216 | 217 | 218 | 219 | 21X | 21E | 220 |
221 | 222 | 223 | 224 | 225 | 226 | 227 | 228 | 229 | 22X | 22E | 230 |
231 | 232 | 233 | 234 | 235 | 236 | 237 | 238 | 239 | 23X | 23E | 240 |
241 | 242 | 243 | 244 | 245 | 246 | 247 | 248 | 249 | 24X | 24E | 250 |
251 | 252 | 253 | 254 | 255 | 256 | 257 | 258 | 259 | 25X | 25E | 260 |
261 | 262 | 263 | 264 | 265 | 266 | 267 | 268 | 269 | 26X | 26E | 270 |
271 | 272 | 273 | 274 | 275 | 276 | 277 | 278 | 279 | 27X | 27E | 280 |
281 | 282 | 283 | 284 | 285 | 286 | 287 | 288 | 289 | 28X | 28E | 290 |
291 | 292 | 293 | 294 | 295 | 296 | 297 | 298 | 299 | 29X | 29E | 2X0 |
2X1 | 2X2 | 2X3 | 2X4 | 2X5 | 2X6 | 2X7 | 2X8 | 2X9 | 2XX | 2XE | 2E0 |
2E1 | 2E2 | 2E3 | 2E4 | 2E5 | 2E6 | 2E7 | 2E8 | 2E9 | 2EX | 2EE | 300 |
301 | 302 | 303 | 304 | 305 | 306 | 307 | 308 | 309 | 30X | 30E | 310 |
311 | 312 | 313 | 314 | 315 | 316 | 317 | 318 | 319 | 31X | 31E | 320 |
321 | 322 | 323 | 324 | 325 | 326 | 327 | 328 | 329 | 32X | 32E | 330 |
331 | 332 | 333 | 334 | 335 | 336 | 337 | 338 | 339 | 33X | 33E | 340 |
341 | 342 | 343 | 344 | 345 | 346 | 347 | 348 | 349 | 34X | 34E | 350 |
351 | 352 | 353 | 354 | 355 | 356 | 357 | 358 | 359 | 35X | 35E | 360 |
361 | 362 | 363 | 364 | 365 | 366 | 367 | 368 | 369 | 36X | 36E | 370 |
371 | 372 | 373 | 374 | 375 | 376 | 377 | 378 | 379 | 37X | 37E | 380 |
381 | 382 | 383 | 384 | 385 | 386 | 387 | 388 | 389 | 38X | 38E | 390 |
391 | 392 | 393 | 394 | 395 | 396 | 397 | 398 | 399 | 39X | 39E | 3X0 |
3X1 | 3X2 | 3X3 | 3X4 | 3X5 | 3X6 | 3X7 | 3X8 | 3X9 | 3XX | 3XE | 3E0 |
3E1 | 3E2 | 3E3 | 3E4 | 3E5 | 3E6 | 3E7 | 3E8 | 3E9 | 3EX | 3EE | 400 |
401 | 402 | 403 | 404 | 405 | 406 | 407 | 408 | 409 | 40X | 40E | 410 |
411 | 412 | 413 | 414 | 415 | 416 | 417 | 418 | 419 | 41X | 41E | 420 |
421 | 422 | 423 | 424 | 425 | 426 | 427 | 428 | 429 | 42X | 42E | 430 |
431 | 432 | 433 | 434 | 435 | 436 | 437 | 438 | 439 | 43X | 43E | 440 |
441 | 442 | 443 | 444 | 445 | 446 | 447 | 448 | 449 | 44X | 44E | 450 |
451 | 452 | 453 | 454 | 455 | 456 | 457 | 458 | 459 | 45X | 45E | 460 |
461 | 462 | 463 | 464 | 465 | 466 | 467 | 468 | 469 | 46X | 46E | 470 |
471 | 472 | 473 | 474 | 475 | 476 | 477 | 478 | 479 | 47X | 47E | 480 |
481 | 482 | 483 | 484 | 485 | 486 | 487 | 488 | 489 | 48X | 48E | 490 |
491 | 492 | 493 | 494 | 495 | 496 | 497 | 498 | 499 | 49X | 49E | 4X0 |
4X1 | 4X2 | 4X3 | 4X4 | 4X5 | 4X6 | 4X7 | 4X8 | 4X9 | 4XX | 4XE | 4E0 |
4E1 | 4E2 | 4E3 | 4E4 | 4E5 | 4E6 | 4E7 | 4E8 | 4E9 | 4EX | 4EE | 500 |
501 | 502 | 503 | 504 | 505 | 506 | 507 | 508 | 509 | 50X | 50E | 510 |
511 | 512 | 513 | 514 | 515 | 516 | 517 | 518 | 519 | 51X | 51E | 520 |
521 | 522 | 523 | 524 | 525 | 526 | 527 | 528 | 529 | 52X | 52E | 530 |
531 | 532 | 533 | 534 | 535 | 536 | 537 | 538 | 539 | 53X | 53E | 540 |
541 | 542 | 543 | 544 | 545 | 546 | 547 | 548 | 549 | 54X | 54E | 550 |
551 | 552 | 553 | 554 | 555 | 556 | 557 | 558 | 559 | 55X | 55E | 560 |
561 | 562 | 563 | 564 | 565 | 566 | 567 | 568 | 569 | 56X | 56E | 570 |
571 | 572 | 573 | 574 | 575 | 576 | 577 | 578 | 579 | 57X | 57E | 580 |
581 | 582 | 583 | 584 | 585 | 586 | 587 | 588 | 589 | 58X | 58E | 590 |
591 | 592 | 593 | 594 | 595 | 596 | 597 | 598 | 599 | 59X | 59E | 5X0 |
5X1 | 5X2 | 5X3 | 5X4 | 5X5 | 5X6 | 5X7 | 5X8 | 5X9 | 5XX | 5XE | 5E0 |
5E1 | 5E2 | 5E3 | 5E4 | 5E5 | 5E6 | 5E7 | 5E8 | 5E9 | 5EX | 5EE | 600 |
601 | 602 | 603 | 604 | 605 | 606 | 607 | 608 | 609 | 60X | 60E | 610 |
611 | 612 | 613 | 614 | 615 | 616 | 617 | 618 | 619 | 61X | 61E | 620 |
621 | 622 | 623 | 624 | 625 | 626 | 627 | 628 | 629 | 62X | 62E | 630 |
631 | 632 | 633 | 634 | 635 | 636 | 637 | 638 | 639 | 63X | 63E | 640 |
641 | 642 | 643 | 644 | 645 | 646 | 647 | 648 | 649 | 64X | 64E | 650 |
651 | 652 | 653 | 654 | 655 | 656 | 657 | 658 | 659 | 65X | 65E | 660 |
661 | 662 | 663 | 664 | 665 | 666 | 667 | 668 | 669 | 66X | 66E | 670 |
671 | 672 | 673 | 674 | 675 | 676 | 677 | 678 | 679 | 67X | 67E | 680 |
681 | 682 | 683 | 684 | 685 | 686 | 687 | 688 | 689 | 68X | 68E | 690 |
691 | 692 | 693 | 694 | 695 | 696 | 697 | 698 | 699 | 69X | 69E | 6X0 |
6X1 | 6X2 | 6X3 | 6X4 | 6X5 | 6X6 | 6X7 | 6X8 | 6X9 | 6XX | 6XE | 6E0 |
6E1 | 6E2 | 6E3 | 6E4 | 6E5 | 6E6 | 6E7 | 6E8 | 6E9 | 6EX | 6EE | 700 |
701 | 702 | 703 | 704 | 705 | 706 | 707 | 708 | 709 | 70X | 70E | 710 |
711 | 712 | 713 | 714 | 715 | 716 | 717 | 718 | 719 | 71X | 71E | 720 |
721 | 722 | 723 | 724 | 725 | 726 | 727 | 728 | 729 | 72X | 72E | 730 |
731 | 732 | 733 | 734 | 735 | 736 | 737 | 738 | 739 | 73X | 73E | 740 |
741 | 742 | 743 | 744 | 745 | 746 | 747 | 748 | 749 | 74X | 74E | 750 |
751 | 752 | 753 | 754 | 755 | 756 | 757 | 758 | 759 | 75X | 75E | 760 |
761 | 762 | 763 | 764 | 765 | 766 | 767 | 768 | 769 | 76X | 76E | 770 |
771 | 772 | 773 | 774 | 775 | 776 | 777 | 778 | 779 | 77X | 77E | 780 |
781 | 782 | 783 | 784 | 785 | 786 | 787 | 788 | 789 | 78X | 78E | 790 |
791 | 792 | 793 | 794 | 795 | 796 | 797 | 798 | 799 | 79X | 79E | 7X0 |
7X1 | 7X2 | 7X3 | 7X4 | 7X5 | 7X6 | 7X7 | 7X8 | 7X9 | 7XX | 7XE | 7E0 |
7E1 | 7E2 | 7E3 | 7E4 | 7E5 | 7E6 | 7E7 | 7E8 | 7E9 | 7EX | 7EE | 800 |
801 | 802 | 803 | 804 | 805 | 806 | 807 | 808 | 809 | 80X | 80E | 810 |
811 | 812 | 813 | 814 | 815 | 816 | 817 | 818 | 819 | 81X | 81E | 820 |
821 | 822 | 823 | 824 | 825 | 826 | 827 | 828 | 829 | 82X | 82E | 830 |
831 | 832 | 833 | 834 | 835 | 836 | 837 | 838 | 839 | 83X | 83E | 840 |
841 | 842 | 843 | 844 | 845 | 846 | 847 | 848 | 849 | 84X | 84E | 850 |
851 | 852 | 853 | 854 | 855 | 856 | 857 | 858 | 859 | 85X | 85E | 860 |
861 | 862 | 863 | 864 | 865 | 866 | 867 | 868 | 869 | 86X | 86E | 870 |
871 | 872 | 873 | 874 | 875 | 876 | 877 | 878 | 879 | 87X | 87E | 880 |
881 | 882 | 883 | 884 | 885 | 886 | 887 | 888 | 889 | 88X | 88E | 890 |
891 | 892 | 893 | 894 | 895 | 896 | 897 | 898 | 899 | 89X | 89E | 8X0 |
8X1 | 8X2 | 8X3 | 8X4 | 8X5 | 8X6 | 8X7 | 8X8 | 8X9 | 8XX | 8XE | 8E0 |
8E1 | 8E2 | 8E3 | 8E4 | 8E5 | 8E6 | 8E7 | 8E8 | 8E9 | 8EX | 8EE | 900 |
901 | 902 | 903 | 904 | 905 | 906 | 907 | 908 | 909 | 90X | 90E | 910 |
911 | 912 | 913 | 914 | 915 | 916 | 917 | 918 | 919 | 91X | 91E | 920 |
921 | 922 | 923 | 924 | 925 | 926 | 927 | 928 | 929 | 92X | 92E | 930 |
931 | 932 | 933 | 934 | 935 | 936 | 937 | 938 | 939 | 93X | 93E | 940 |
941 | 942 | 943 | 944 | 945 | 946 | 947 | 948 | 949 | 94X | 94E | 950 |
951 | 952 | 953 | 954 | 955 | 956 | 957 | 958 | 959 | 95X | 95E | 960 |
961 | 962 | 963 | 964 | 965 | 966 | 967 | 968 | 969 | 96X | 96E | 970 |
971 | 972 | 973 | 974 | 975 | 976 | 977 | 978 | 979 | 97X | 97E | 980 |
981 | 982 | 983 | 984 | 985 | 986 | 987 | 988 | 989 | 98X | 98E | 990 |
991 | 992 | 993 | 994 | 995 | 996 | 997 | 998 | 999 | 99X | 99E | 9X0 |
9X1 | 9X2 | 9X3 | 9X4 | 9X5 | 9X6 | 9X7 | 9X8 | 9X9 | 9XX | 9XE | 9E0 |
9E1 | 9E2 | 9E3 | 9E4 | 9E5 | 9E6 | 9E7 | 9E8 | 9E9 | 9EX | 9EE | X00 |
X01 | X02 | X03 | X04 | X05 | X06 | X07 | X08 | X09 | X0X | X0E | X10 |
X11 | X12 | X13 | X14 | X15 | X16 | X17 | X18 | X19 | X1X | X1E | X20 |
X21 | X22 | X23 | X24 | X25 | X26 | X27 | X28 | X29 | X2X | X2E | X30 |
X31 | X32 | X33 | X34 | X35 | X36 | X37 | X38 | X39 | X3X | X3E | X40 |
X41 | X42 | X43 | X44 | X45 | X46 | X47 | X48 | X49 | X4X | X4E | X50 |
X51 | X52 | X53 | X54 | X55 | X56 | X57 | X58 | X59 | X5X | X5E | X60 |
X61 | X62 | X63 | X64 | X65 | X66 | X67 | X68 | X69 | X6X | X6E | X70 |
X71 | X72 | X73 | X74 | X75 | X76 | X77 | X78 | X79 | X7X | X7E | X80 |
X81 | X82 | X83 | X84 | X85 | X86 | X87 | X88 | X89 | X8X | X8E | X90 |
X91 | X92 | X93 | X94 | X95 | X96 | X97 | X98 | X99 | X9X | X9E | XX0 |
XX1 | XX2 | XX3 | XX4 | XX5 | XX6 | XX7 | XX8 | XX9 | XXX | XXE | XE0 |
XE1 | XE2 | XE3 | XE4 | XE5 | XE6 | XE7 | XE8 | XE9 | XEX | XEE | E00 |
E01 | E02 | E03 | E04 | E05 | E06 | E07 | E08 | E09 | E0X | E0E | E10 |
E11 | E12 | E13 | E14 | E15 | E16 | E17 | E18 | E19 | E1X | E1E | E20 |
E21 | E22 | E23 | E24 | E25 | E26 | E27 | E28 | E29 | E2X | E2E | E30 |
E31 | E32 | E33 | E34 | E35 | E36 | E37 | E38 | E39 | E3X | E3E | E40 |
E41 | E42 | E43 | E44 | E45 | E46 | E47 | E48 | E49 | E4X | E4E | E50 |
E51 | E52 | E53 | E54 | E55 | E56 | E57 | E58 | E59 | E5X | E5E | E60 |
E61 | E62 | E63 | E64 | E65 | E66 | E67 | E68 | E69 | E6X | E6E | E70 |
E71 | E72 | E73 | E74 | E75 | E76 | E77 | E78 | E79 | E7X | E7E | E80 |
E81 | E82 | E83 | E84 | E85 | E86 | E87 | E88 | E89 | E8X | E8E | E90 |
E91 | E92 | E93 | E94 | E95 | E96 | E97 | E98 | E99 | E9X | E9E | EX0 |
EX1 | EX2 | EX3 | EX4 | EX5 | EX6 | EX7 | EX8 | EX9 | EXX | EXE | EE0 |
EE1 | EE2 | EE3 | EE4 | EE5 | EE6 | EE7 | EE8 | EE9 | EEX | EEE | 1000 |
The twin prime pairs below 100 are (3, 5), (5, 7), (E, 11), (15, 17), (25, 27), (35, 37), (4E, 51), (5E, 61), (85, 87), (8E, 91), (E5, E7), and there are only 47 twin prime pairs below 1000. Except (3, 5), all twin prime pairs end with (5, 7) or (E, 1), and it is conjectured that the density of them are the same.
Primes sorted by the last digit
- The primes end with 1 are neither Gaussian primes nor Eisenstein primes.
- The primes end with 5 (and the prime 2) are Eisenstein primes, but not Gaussian primes.
- The primes end with 7 (and the prime 3) are Gaussian primes, but not Eisenstein primes.
- The primes end with E are Gaussian primes and Eisenstein primes.
The primes end with 1, 5, 7 and E are called 1-primes, 5-primes, 7-primes and E-primes in order.
1-primes: 11, 31, 51, 61, 81, 91, 111, 131, 141, 171, 181, 1E1, 221, 241, 251, 271, 291, 2X1, 2E1, 301, 321, 391, 401, 421, 431, 471, 481, 4E1, 511, 531, 541, 591, 5E1, 611, 661, 6E1, 701, 711, 721, 751, 771, 791, 7X1, 801, 841, 851, 871, 881, 901, 921, 971, 9E1, X11, X41, X91, E11, E21, E31, E61, E71, E91, 1011, 1021, 1041, 1051, 1061, 10E1, 1101, 1151, 11X1, 1201, 1211, 1231, 1261, 1281, 12X1, 1301, 1351, 1391, 13X1, 13E1, 1431, 1461, 1471, 14E1, 1521, 1561, 1591, 1601, 1621, 1671, 1681, 16X1, 1711, 1751, 1781, 17X1, 1831, 1861, 18X1, 1911, 1921, 1931, 1971, 1981, 1X01, 1X11, 1X41, 1X51, 1X71, 1XE1, 1E01, 1E41, 1E51, 1EX1, 2001, 2011, 2051, 2061, 2071, 2111, 2131, 2161, 2181, 2191, 21E1, 2221, 2241, 2291, 22E1, 2301, 23E1, 2421, 2451, 2481, 24X1, 2501, 2521, 2571, 2581, 25X1, 2631, 26X1, 2741, 2771, 2781, 27E1, 2811, 2841, 28X1, 2931, 2941, 2951, 2991, 2X11, 2X31, 2X51, 2X61, 2X81, 2E31, 2E51, 2E61, 3011, 3021, 3041, 3081, 3171, 3191, 31X1, 3241, 3271, 3281, 3291, 3321, 3331, 3361, 3371, 33X1, 33E1, 3451, 3481, 3491, 34X1, 3541, 35E1, 3621, 3661, 3671, 3721, 3731, 3771, 3791, 3801, 3821, 3831, 3851, 3871, 38E1, 3901, 3941, 3961, 3981, 3X11, 3X31, 3X41, 3X71, 3X91, 3E11, 3E21, 3E51, 3E61, 4031, 4041, 4071, 4101, 4111, 4161, 41X1, 4211, 4231, 4281, 4291, 42X1, 42E1, 4321, 4341, 4361, 43E1, 4401, 4441, 4451, 4461, 4471, 44E1, 4531, 4541, 4571, 4591, 45X1, 4611, 4681, 4711, 4761, 4781, 47E1, 4821, 4831, 4881, 4901, 4911, 4921, 4951, 4971, 4991, 49X1, 4X01, 4X21, 4X31, 4X91, 4E21, 4E71, 4EE1, 5001, 5031, 5041, 5061, 5081, 50X1, 5131, 5191, 5201, 5211, 5261, 5271, 52X1, 5331, 5351, 5371, 5391, 5421, 5451, 54X1, 54E1, 5531, 5551, 5561, 5681, 5691, 5701, 5711, 5741, 5761, 5771, 57X1, 57E1, 5821, 5831, 5891, 5911, 5931, 5961, 59E1, 5X11, 5X51, 5X81, 5E41, 5E81, 5E91, 5EE1, 6001, 6051, 6071, 6091, 60E1, 6101, 6171, 6201, 6261, 6281, 62E1, 6331, 6351, 6391, 6411, 6441, 6521, 6551, 6561, 6571, 6591, 6621, 6671, 6681, 66X1, 6751, 67X1, 6861, 6881, 6911, 6921, 6931, 6X11, 6X21, 6XE1, 6E01, 6E71, 6E81, 6EX1, 7001, 7011, 7051, 7101, 7111, 7131, 7141, 7151, 71E1, 7221, 7231, 7241, 7261, 72E1, 7311, 7321, 7341, 7351, 7361, 7371, 7391, 7421, 7441, 7471, 7491, 7511, 7521, 7531, 7561, 7611, 7641, 7661, 76E1, 7761, 7801, 7841, 7851, 78E1, 7921, 7941, 7971, 79X1, 7X01, 7X51, 7X81, 7XE1, 7E01, 7E11, 7E41, 7E91, 8041, 8081, 8091, 8151, 8231, 8251, 8271, 8291, 8321, 8331, 8371, 83E1, 8401, 8431, 8441, 8451, 84E1, 8511, 8541, 8571, 8591, 8621, 8641, 8691, 86E1, 8731, 8781, 8831, 8871, 8881, 8901, 8961, 8981, 89X1, 8X11, 8X21, 8X41, 8X71, 8X81, 8X91, 8E71, 8EE1, 9041, 9081, 9091, 9131, 91X1, 9231, 9241, 9251, 9261, 9281, 92E1, 9341, 9361, 9371, 9411, 9451, 94X1, 9501, 9551, 9581, 9591, 9601, 9631, 9651, 9701, 9711, 9761, 9781, 97E1, 9821, 9831, 9961, 99E1, 9X01, 9X31, 9X41, 9X51, 9X71, 9E01, 9E61, 9EX1, X011, X031, X051, X081, X091, X0X1, X121, X161, X171, X201, X211, X301, X321, X331, X341, X421, X461, X4X1, X4E1, X511, X541, X551, X581, X5X1, X5E1, X621, X631, X661, X671, X691, X701, X711, X721, X791, X801, X821, X841, X851, X871, X891, X8X1, X951, X971, XX31, XX61, XE41, XE91, E001, E051, E061, E0E1, E151, E171, E181, E1X1, E211, E231, E271, E2X1, E2E1, E301, E331, E341, E351, E411, E421, E481, E4E1, E521, E541, E561, E571, E5E1, E6X1, E711, E761, E771, E781, E7E1, E801, E811, E861, E891, E931, E941, E971, EX51, EX61, EX71, EE01, EE41, ...
5-primes: 5, 15, 25, 35, 45, 75, 85, 95, E5, 105, 125, 145, 175, 195, 1X5, 1E5, 205, 225, 255, 285, 295, 315, 325, 365, 375, 3X5, 3E5, 415, 435, 455, 465, 485, 4X5, 535, 545, 565, 575, 585, 5E5, 615, 655, 665, 675, 695, 705, 735, 745, 775, 785, 825, 835, 855, 865, 8X5, 8E5, 905, 955, 965, 995, 9E5, X35, X45, X95, E15, E25, E45, E95, EX5, EE5, 1005, 1105, 1115, 1125, 1135, 1165, 1185, 11X5, 1245, 1255, 1295, 12X5, 12E5, 1345, 1365, 1395, 13E5, 1405, 1425, 1445, 1465, 1475, 1495, 14E5, 1525, 1585, 1615, 1625, 1635, 1655, 1685, 16E5, 1705, 1715, 1735, 1745, 1755, 1785, 17X5, 1815, 1825, 1865, 1875, 1915, 1955, 1995, 1X35, 1X45, 1X75, 1E15, 1E65, 1E85, 1EE5, 2005, 2065, 2085, 20X5, 20E5, 2115, 2165, 2185, 2215, 2245, 2265, 2275, 22E5, 2325, 2335, 2385, 2395, 23X5, 2415, 2435, 2485, 24X5, 2535, 2545, 2555, 2565, 2595, 2615, 2625, 2645, 2665, 2675, 2685, 26E5, 2715, 2725, 2745, 2825, 2835, 2855, 2895, 28X5, 2935, 2955, 29X5, 29E5, 2X35, 2X65, 2X95, 2XX5, 2E35, 2E95, 3005, 3045, 3065, 3075, 3095, 30X5, 3105, 3145, 3155, 3175, 3195, 3205, 3225, 3285, 3335, 3345, 3365, 3385, 33X5, 3435, 3445, 3475, 3485, 34E5, 3565, 35X5, 3605, 3635, 3645, 3655, 36X5, 3705, 3725, 3755, 3765, 37X5, 37E5, 3815, 3845, 3895, 38E5, 3935, 3975, 3985, 3X25, 3X55, 3X65, 3X95, 3XE5, 3E55, 3E75, 3E85, 4005, 4055, 4075, 4085, 4145, 4155, 41E5, 4225, 4245, 4305, 4375, 4395, 43E5, 4425, 4435, 4445, 4475, 4485, 4515, 4535, 45X5, 4615, 4635, 4645, 4655, 4665, 4685, 46X5, 4715, 4725, 4775, 4805, 4815, 4825, 4845, 4925, 4955, 4975, 4X15, 4X65, 4E05, 4E15, 4E35, 4E65, 4E85, 4E95, 5025, 5035, 5045, 5085, 5095, 5145, 5155, 5165, 5205, 5235, 5285, 5295, 5355, 5375, 5385, 53E5, 5405, 5435, 5455, 5465, 54X5, 5515, 5545, 5565, 5585, 5595, 55E5, 5615, 5625, 56X5, 5725, 5735, 5785, 5835, 5855, 58E5, 5905, 5985, 59X5, 5X45, 5X75, 5X85, 5X95, 5E25, 5E55, 5E65, 5E75, 5E95, 6055, 6075, 6115, 6165, 6175, 6185, 6245, 6265, 62X5, 6345, 6375, 63E5, 6405, 6425, 6495, 64X5, 6505, 6525, 6575, 65X5, 6625, 6635, 6675, 66E5, 6715, 6795, 6825, 6865, 6885, 6895, 68E5, 6915, 6945, 6995, 69X5, 69E5, 6X05, 6X75, 6X85, 6XX5, 6E15, 6E25, 6E75, 7005, 7015, 7045, 7055, 7085, 7125, 7135, 7175, 71E5, 7215, 7225, 7245, 7275, 7295, 7335, 7395, 73X5, 7415, 7435, 74E5, 7505, 7565, 7585, 75X5, 75E5, 7635, 7665, 7675, 7705, 7715, 7795, 77X5, 77E5, 7855, 7875, 7905, 7925, 7955, 7965, 7X15, 7X35, 7X65, 7X95, 7E15, 7E25, 7E35, 7E65, 7E85, 8005, 8015, 8045, 8065, 8075, 8125, 8135, 8155, 8175, 8195, 8235, 8255, 82E5, 8355, 8395, 8475, 84E5, 8505, 8515, 8565, 8575, 8595, 85X5, 8625, 8645, 8655, 86X5, 8755, 87X5, 87E5, 8835, 8865, 8885, 88X5, 8915, 8925, 8935, 8945, 8995, 8X05, 8X55, 8X95, 8XE5, 8E05, 8E45, 8E55, 8E75, 9015, 9025, 9065, 9075, 9135, 9145, 9155, 9165, 9185, 9195, 9235, 9315, 9365, 9375, 9395, 9455, 9475, 9485, 94X5, 9525, 9565, 9575, 9605, 9615, 9655, 9665, 9695, 96E5, 9775, 9785, 9795, 98X5, 9935, 9945, 9975, 9X25, 9X35, 9X85, 9XX5, 9E45, X035, X045, X095, X0E5, X145, X155, X205, X225, X235, X275, X285, X295, X315, X365, X3X5, X445, X455, X485, X4X5, X535, X565, X575, X605, X675, X695, X6X5, X735, X745, X755, X795, X7X5, X825, X875, X915, X935, X9X5, X9E5, XX25, XX45, XX65, XE05, XE45, XEE5, E005, E025, E055, E095, E105, E125, E1E5, E205, E265, E2X5, E2E5, E315, E325, E385, E395, E3E5, E465, E495, E4X5, E555, E595, E5X5, E615, E635, E655, E665, E675, E685, E6X5, E705, E785, E795, E815, E835, E875, E885, E8E5, E925, E945, E955, E975, E9E5, EX25, EX85, EE75, EE85, EEX5, ...
7-primes: 7, 17, 27, 37, 57, 67, 87, X7, E7, 107, 117, 147, 157, 167, 1X7, 1E7, 217, 237, 267, 277, 307, 327, 347, 357, 377, 397, 3E7, 427, 437, 447, 457, 497, 507, 517, 527, 557, 577, 587, 5E7, 617, 637, 647, 687, 6X7, 727, 737, 747, 767, 797, 817, 867, 8X7, 8E7, 907, 927, 987, 9X7, X07, X17, X27, X37, X77, X87, XX7, XE7, E37, E67, E97, EE7, 1017, 1027, 1047, 1087, 10E7, 1107, 1167, 1197, 11X7, 11E7, 1257, 1297, 12X7, 1317, 1337, 1367, 1377, 13X7, 1407, 1437, 1457, 1467, 1517, 1547, 1577, 1587, 1647, 1657, 1667, 1677, 1697, 16X7, 16E7, 1727, 1747, 1757, 1797, 1807, 1877, 18E7, 1937, 1947, 19E7, 1X17, 1X77, 1X87, 1XE7, 1E07, 1E17, 1E27, 1E67, 2007, 2037, 2047, 2077, 2087, 2097, 20X7, 2107, 2127, 2137, 2177, 21X7, 21E7, 2267, 2287, 2317, 2327, 2337, 2347, 2367, 2397, 23E7, 2417, 2457, 2467, 24X7, 2537, 2547, 2557, 2607, 2617, 2637, 2687, 26X7, 2717, 2737, 2747, 2787, 27X7, 27E7, 2827, 2837, 2847, 2897, 2907, 2927, 2967, 2X07, 2X47, 2X77, 2X87, 2X97, 2XX7, 2E17, 2E57, 2E67, 2EX7, 2EE7, 3037, 30E7, 3117, 3167, 3177, 3187, 3197, 3207, 3227, 3247, 3277, 3307, 3327, 3337, 3357, 33X7, 3417, 3427, 3457, 3467, 3477, 3517, 3587, 35E7, 3617, 3627, 3637, 3687, 3697, 3707, 3717, 3747, 3767, 3807, 3827, 3837, 3877, 3897, 3957, 3977, 39X7, 39E7, 3X47, 3X57, 3X67, 3XE7, 3E47, 3E87, 3E97, 3EE7, 4047, 4067, 4097, 40X7, 4187, 4207, 4217, 4237, 4307, 4357, 4397, 4417, 4487, 4497, 4507, 4547, 4557, 4577, 45X7, 4677, 4687, 4707, 4727, 4737, 4777, 47E7, 4887, 4897, 48X7, 4947, 4967, 4987, 4X57, 4X67, 4X77, 4X97, 4E27, 4E37, 4E57, 4E87, 4EX7, 5007, 5057, 5067, 5077, 50E7, 5117, 5147, 5167, 5187, 51E7, 5237, 5267, 5297, 52E7, 5317, 5327, 5347, 5367, 5397, 53X7, 5457, 5487, 54X7, 5527, 5537, 5567, 5587, 5607, 5637, 5697, 56X7, 56E7, 5727, 5777, 57E7, 5817, 5857, 5867, 5877, 5897, 58E7, 5927, 5987, 5X17, 5X27, 5X67, 5E17, 5E37, 5E67, 6027, 6077, 6117, 6147, 6197, 61X7, 61E7, 6207, 6227, 6247, 6257, 6297, 6327, 6357, 6377, 6387, 63E7, 6437, 6487, 6497, 64X7, 64E7, 6527, 6537, 6607, 6617, 6647, 6657, 6667, 6707, 6757, 6777, 6797, 67X7, 6807, 6827, 6857, 6947, 6957, 6967, 6997, 6X17, 6X27, 6X47, 6X67, 6X97, 6E07, 6E17, 6E47, 6E77, 7057, 7097, 7187, 71E7, 7207, 7257, 7287, 72X7, 7317, 7347, 7377, 7427, 7457, 7477, 74X7, 7507, 7577, 7587, 7607, 7617, 7637, 7687, 76E7, 7737, 7747, 7757, 7767, 7797, 7817, 7837, 7867, 7877, 7907, 7917, 7X27, 7X47, 7X77, 7E07, 7E27, 7E37, 7E67, 7EX7, 8007, 8047, 8067, 80E7, 8127, 8137, 8187, 8197, 81E7, 8227, 82E7, 8357, 8377, 8407, 8417, 8427, 8467, 8487, 8507, 8517, 85E7, 8637, 8667, 8677, 86E7, 8717, 8747, 8777, 8797, 8807, 8847, 8897, 8917, 8957, 8967, 89E7, 8X07, 8X37, 8X47, 8X57, 8XX7, 8E17, 8E27, 8E37, 8E87, 9007, 9027, 9047, 9057, 9077, 9097, 90X7, 9127, 9137, 9177, 91X7, 9217, 9257, 9267, 9307, 9367, 9387, 93X7, 9447, 9487, 94E7, 9557, 9577, 95E7, 9627, 9687, 9707, 9737, 9777, 97E7, 9837, 9847, 98X7, 98E7, 9927, 9947, 9967, 9997, 99E7, 9X17, 9X47, 9X97, 9E27, 9E47, 9E57, 9E87, X017, X067, X087, X0E7, X107, X117, X137, X157, X197, X1X7, X227, X247, X277, X297, X2E7, X367, X397, X3X7, X3E7, X407, X447, X457, X487, X497, X537, X5X7, X647, X657, X667, X717, X767, X777, X7E7, X807, X817, X877, X907, X987, X997, XX57, XXE7, XE47, XE97, E037, E067, E127, E147, E157, E167, E197, E277, E2X7, E307, E327, E337, E357, E377, E387, E417, E487, E497, E527, E577, E597, E5E7, E617, E647, E677, E6E7, E707, E727, E747, E777, E7X7, E8X7, E917, E937, E947, E987, E9X7, E9E7, EX27, EX87, EX97, EE07, EE17, EE97, EEX7, EEE7, ...
E-primes: E, 1E, 3E, 4E, 5E, 6E, 8E, XE, 11E, 12E, 13E, 16E, 17E, 18E, 19E, 21E, 24E, 25E, 27E, 2XE, 2EE, 30E, 32E, 33E, 34E, 35E, 3XE, 40E, 41E, 45E, 46E, 48E, 4EE, 51E, 58E, 59E, 5EE, 61E, 63E, 66E, 68E, 69E, 70E, 71E, 76E, 77E, 7EE, 80E, 82E, 85E, 88E, 8XE, 90E, 91E, 95E, 9XE, 9EE, X0E, X3E, X4E, X5E, X6E, X9E, XXE, XEE, E1E, E2E, E6E, 104E, 106E, 107E, 109E, 10EE, 112E, 114E, 118E, 11XE, 120E, 121E, 123E, 125E, 126E, 127E, 133E, 136E, 138E, 142E, 143E, 147E, 148E, 149E, 14EE, 150E, 156E, 157E, 15XE, 15EE, 165E, 167E, 168E, 169E, 176E, 178E, 17EE, 181E, 183E, 184E, 186E, 189E, 18XE, 18EE, 194E, 197E, 19EE, 1X1E, 1X2E, 1X6E, 1XXE, 1E0E, 1E2E, 1E3E, 1E4E, 1E7E, 200E, 202E, 205E, 206E, 211E, 214E, 215E, 219E, 221E, 222E, 224E, 228E, 229E, 231E, 232E, 234E, 239E, 23XE, 243E, 244E, 247E, 248E, 252E, 256E, 257E, 258E, 265E, 26XE, 26EE, 274E, 276E, 279E, 282E, 285E, 286E, 287E, 28EE, 292E, 293E, 299E, 2X1E, 2X2E, 2X3E, 2X5E, 2X8E, 2XEE, 2E0E, 2E3E, 2E4E, 2E8E, 2EXE, 303E, 307E, 309E, 311E, 314E, 315E, 31EE, 320E, 322E, 323E, 324E, 329E, 331E, 332E, 337E, 341E, 343E, 346E, 348E, 349E, 34EE, 351E, 352E, 356E, 358E, 35EE, 366E, 367E, 370E, 375E, 377E, 378E, 379E, 37XE, 381E, 390E, 395E, 396E, 399E, 3X2E, 3X7E, 3E0E, 3E1E, 3E2E, 3E4E, 3E7E, 3EXE, 3EEE, 402E, 403E, 404E, 405E, 408E, 40XE, 411E, 413E, 415E, 417E, 41XE, 420E, 423E, 426E, 428E, 42XE, 438E, 43EE, 440E, 442E, 444E, 445E, 447E, 449E, 450E, 454E, 455E, 457E, 463E, 468E, 46XE, 46EE, 479E, 481E, 483E, 484E, 486E, 488E, 490E, 491E, 492E, 496E, 4X0E, 4X2E, 4X5E, 4X7E, 4E3E, 4EXE, 501E, 504E, 508E, 50EE, 511E, 512E, 513E, 516E, 521E, 522E, 525E, 526E, 52XE, 53XE, 540E, 541E, 547E, 548E, 550E, 554E, 555E, 558E, 559E, 55XE, 562E, 563E, 566E, 569E, 575E, 577E, 579E, 57EE, 580E, 583E, 584E, 587E, 58XE, 595E, 59XE, 59EE, 5X0E, 5X1E, 5X4E, 5X5E, 5X6E, 5XXE, 5XEE, 5E1E, 5E2E, 5E3E, 5E8E, 5E9E, 601E, 604E, 607E, 609E, 60XE, 613E, 617E, 619E, 620E, 622E, 626E, 62EE, 633E, 634E, 636E, 642E, 644E, 646E, 64EE, 655E, 656E, 660E, 663E, 669E, 671E, 672E, 673E, 675E, 677E, 678E, 67EE, 684E, 692E, 699E, 69EE, 6X1E, 6X4E, 6X7E, 6X9E, 6XXE, 6E2E, 6E4E, 6E9E, 700E, 701E, 703E, 708E, 70XE, 70EE, 710E, 711E, 716E, 718E, 727E, 728E, 729E, 72EE, 730E, 736E, 739E, 73XE, 73EE, 745E, 749E, 756E, 757E, 758E, 75EE, 761E, 763E, 766E, 76EE, 771E, 773E, 774E, 776E, 780E, 786E, 789E, 794E, 795E, 797E, 798E, 79XE, 7X6E, 7XEE, 7E0E, 7E5E, 7E6E, 7E9E, 802E, 804E, 806E, 808E, 80EE, 816E, 819E, 823E, 827E, 82XE, 833E, 835E, 83XE, 840E, 841E, 843E, 849E, 84EE, 853E, 856E, 857E, 860E, 862E, 864E, 865E, 866E, 867E, 86EE, 870E, 872E, 873E, 874E, 878E, 879E, 888E, 88XE, 890E, 898E, 89EE, 8X1E, 8X2E, 8X7E, 8X9E, 8E2E, 8E4E, 8E9E, 8EEE, 907E, 909E, 90XE, 912E, 915E, 917E, 918E, 923E, 926E, 929E, 92XE, 931E, 936E, 938E, 939E, 93EE, 940E, 944E, 947E, 953E, 960E, 962E, 965E, 96XE, 973E, 974E, 975E, 97XE, 97EE, 984E, 986E, 988E, 989E, 991E, 992E, 996E, 997E, 99XE, 9X2E, 9X8E, 9XXE, 9E1E, 9E3E, 9E5E, 9E7E, X00E, X03E, X05E, X08E, X13E, X14E, X17E, X20E, X24E, X32E, X35E, X37E, X42E, X43E, X46E, X4XE, X53E, X54E, X59E, X5XE, X5EE, X63E, X68E, X6EE, X71E, X76E, X80E, X85E, X88E, X90E, X97E, X9EE, XX0E, XX1E, XX6E, XX9E, XE2E, XE3E, XE6E, XE7E, E01E, E05E, E0XE, E10E, E14E, E18E, E21E, E26E, E27E, E28E, E2XE, E31E, E39E, E3XE, E3EE, E4EE, E50E, E51E, E52E, E63E, E68E, E69E, E72E, E73E, E78E, E7XE, E81E, E84E, E85E, E91E, E97E, E98E, EX2E, EX4E, EX7E, EE2E, EE3E, EE5E, ...
Prime k-tuple
(p, p+2) (twin primes): (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), (104E, 1051), (10EE, 1101), (1105, 1107), (114E, 1151), (1165, 1167), (11X5, 11X7), (120E, 1211), (1255, 1257), (125E, 1261), (127E, 1281), (1295, 1297), (12X5, 12X7), (1365, 1367), (138E, 1391), (1405, 1407), (142E, 1431), (1465, 1467), (1585, 1587), (15EE, 1601), (1655, 1657), (167E, 1681), (169E, 16X1), (16E5, 16E7), (1745, 1747), (1755, 1757), (1875, 1877), (189E, 18X1), (197E, 1981), (19EE, 1X01), (1X6E, 1X71), (1X75, 1X77), (1XXE, 1XE1), (1E15, 1E17), (1E3E, 1E41), (1E4E, 1E51), (1E65, 1E67), (2005, 2007), (200E, 2011), (205E, 2061), (206E, 2071), (2085, 2087), (20X5, 20X7), (215E, 2161), (221E, 2221), (2265, 2267), (228E, 2291), (2325, 2327), (2335, 2337), (2395, 2397), (23XE, 23E1), (2415, 2417), (244E, 2451), (247E, 2481), (24X5, 24X7), (2535, 2537), (2545, 2547), (2555, 2557), (256E, 2571), (257E, 2581), (2615, 2617), (2685, 2687), (2715, 2717), (2745, 2747), (276E, 2771), (2825, 2827), (2835, 2837), (2895, 2897), (292E, 2931), (293E, 2941), (2X2E, 2X31), (2X5E, 2X61), (2X95, 2X97), (2XX5, 2XX7), (2E4E, 2E51), (303E, 3041), (307E, 3081), (3175, 3177), (3195, 3197), (3205, 3207), (3225, 3227), (323E, 3241), (331E, 3321), (332E, 3331), (3335, 3337), (33X5, 33X7), (3475, 3477), (348E, 3491), (349E, 34X1), (3635, 3637), (366E, 3671), (3705, 3707), (3765, 3767), (378E, 3791), (381E, 3821), (3895, 3897), (395E, 3961), (3975, 3977), (3X2E, 3X31), (3X55, 3X57), (3X65, 3X67), (3XE5, 3XE7), (3E0E, 3E11), (3E1E, 3E21), (3E4E, 3E51), (3E85, 3E87), (402E, 4031), (403E, 4041), (415E, 4161), (420E, 4211), (428E, 4291), (42XE, 42E1), (4305, 4307), (4395, 4397), (43EE, 4401), (444E, 4451), (445E, 4461), (4485, 4487), (45X5, 45X7), (4685, 4687), (4725, 4727), (4775, 4777), (481E, 4821), (490E, 4911), (491E, 4921), (496E, 4971), (4X2E, 4X31), (4X65, 4X67), (4E35, 4E37), (4E85, 4E87), (4EXE, 4EE1), (512E, 5131), (5145, 5147), (5165, 5167), (5235, 5237), (525E, 5261), (526E, 5271), (5295, 5297), (541E, 5421), (5455, 5457), (54X5, 54X7), (554E, 5551), (555E, 5561), (5565, 5567), (5585, 5587), (56X5, 56X7), (5725, 5727), (575E, 5761), (579E, 57X1), (5855, 5857), (58E5, 58E7), (595E, 5961), (5985, 5987), (59XE, 59E1), (5X0E, 5X11), (5X4E, 5X51), (5E3E, 5E41), (5E65, 5E67), (5E8E, 5E91), (604E, 6051), (6075, 6077), (60XE, 60E1), (6115, 6117), (6245, 6247), (634E, 6351), (6375, 6377), (63E5, 63E7), (6495, 6497), (64X5, 64X7), (6525, 6527), (655E, 6561), (656E, 6571), (669E, 66X1), (6795, 6797), (6825, 6827), (692E, 6931), (6945, 6947), (6995, 6997), (6X1E, 6X21), (6XXE, 6XE1), (6E15, 6E17), (6E75, 6E77), (6E9E, 6EX1), (700E, 7011), (7055, 7057), (70EE, 7101), (710E, 7111), (71E5, 71E7), (730E, 7311), (736E, 7371), (7505, 7507), (7585, 7587), (7635, 7637), (763E, 7641), (7795, 7797), (7875, 7877), (7905, 7907), (7XEE, 7E01), (7E0E, 7E11), (7E25, 7E27), (7E35, 7E37), (7E65, 7E67), (8005, 8007), (8045, 8047), (8065, 8067), (808E, 8091), (8125, 8127), (8135, 8137), (8195, 8197), (82E5, 82E7), (8355, 8357), (83XE, 83E1), (843E, 8441), (8505, 8507), (8515, 8517), (853E, 8541), (856E, 8571), (872E, 8731), (8915, 8917), (8X05, 8X07), (8X1E, 8X21), (8X55, 8X57), (8X7E, 8X81), (9025, 9027), (9075, 9077), (907E, 9081), (912E, 9131), (9135, 9137), (923E, 9241), (92XE, 92E1), (9365, 9367), (936E, 9371), (940E, 9411), (944E, 9451), (9485, 9487), (9575, 9577), (962E, 9631), (975E, 9761), (9775, 9777), (97XE, 97E1), (98X5, 98X7), (9945, 9947), (99XE, 99E1), (9X2E, 9X31), (9E45, 9E47), (9E5E, 9E61), (X00E, X011), (X08E, X091), (X0E5, X0E7), (X155, X157), (X20E, X211), (X225, X227), (X275, X277), (X295, X297), (X32E, X331), (X365, X367), (X3X5, X3X7), (X445, X447), (X455, X457), (X485, X487), (X4XE, X4E1), (X535, X537), (X53E, X541), (X54E, X551), (X59E, X5X1), (X5XE, X5E1), (X68E, X691), (X6EE, X701), (X71E, X721), (X875, X877), (X88E, X891), (XE3E, XE41), (XE45, XE47), (E05E, E061), (E0XE, E0E1), (E125, E127), (E14E, E151), (E26E, E271), (E2X5, E2X7), (E2XE, E2E1), (E325, E327), (E385, E387), (E495, E497), (E51E, E521), (E595, E597), (E615, E617), (E675, E677), (E69E, E6X1), (E705, E707), (E7XE, E7E1), (E85E, E861), (E945, E947), (E9E5, E9E7), (EX25, EX27), (EX4E, EX51), (EX85, EX87), (EE3E, EE41), (EEX5, EEX7), ...
(p, p+4) (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), (1047, 104E), (10E7, 10EE), (1101, 1105), (11X1, 11X5), (11X7, 11XE), (1257, 125E), (12X1, 12X5), (1337, 133E), (1367, 136E), (1391, 1395), (13E1, 13E5), (1437, 143E), (1461, 1465), (1471, 1475), (14E1, 14E5), (1521, 1525), (1577, 157E), (1621, 1625), (1657, 165E), (1677, 167E), (1681, 1685), (1697, 169E), (1711, 1715), (1751, 1755), (1781, 1785), (17X1, 17X5), (1861, 1865), (18E7, 18EE), (1911, 1915), (1947, 194E), (19E7, 19EE), (1X17, 1X1E), (1X41, 1X45), (1X71, 1X75), (1E07, 1E0E), (1E27, 1E2E), (2001, 2005), (2007, 200E), (2061, 2065), (2111, 2115), (2161, 2165), (2181, 2185), (2241, 2245), (2287, 228E), (22E1, 22E5), (2317, 231E), (2327, 232E), (2347, 234E), (2397, 239E), (2481, 2485), (24X1, 24X5), (26X7, 26XE), (2741, 2745), (2747, 274E), (2827, 282E), (28X1, 28X5), (2927, 292E), (2931, 2935), (2951, 2955), (2X31, 2X35), (2X61, 2X65), (2X87, 2X8E), (2E31, 2E35), (2EX7, 2EXE), (3037, 303E), (3041, 3045), (3117, 311E), (3171, 3175), (3191, 3195), (3207, 320E), (3227, 322E), (3247, 324E), (3281, 3285), (3327, 332E), (3331, 3335), (3361, 3365), (33X1, 33X5), (3417, 341E), (3467, 346E), (3481, 3485), (3517, 351E), (3587, 358E), (35E7, 35EE), (3707, 370E), (3721, 3725), (38E1, 38E5), (3957, 395E), (3981, 3985), (3X91, 3X95), (3E47, 3E4E), (3E51, 3E55), (3EE7, 3EEE), (4047, 404E), (4071, 4075), (40X7, 40XE), (4207, 420E), (4237, 423E), (43E1, 43E5), (4441, 4445), (4471, 4475), (4497, 449E), (4507, 450E), (4531, 4535), (4547, 454E), (4557, 455E), (4577, 457E), (45X1, 45X5), (4611, 4615), (4681, 4685), (4687, 468E), (4711, 4715), (4821, 4825), (4887, 488E), (4921, 4925), (4951, 4955), (4967, 496E), (4971, 4975), (4X57, 4X5E), (4X77, 4X7E), (4E37, 4E3E), (4EX7, 4EXE), (5031, 5035), (5041, 5045), (5081, 5085), (50E7, 50EE), (5117, 511E), (5167, 516E), (5201, 5205), (5267, 526E), (5351, 5355), (5371, 5375), (53X7, 53XE), (5451, 5455), (5487, 548E), (54X1, 54X5), (5561, 5565), (5587, 558E), (5637, 563E), (5697, 569E), (5777, 577E), (57E7, 57EE), (5831, 5835), (5877, 587E), (5X17, 5X1E), (5X67, 5X6E), (5X81, 5X85), (5E17, 5E1E), (5E37, 5E3E), (5E91, 5E95), (6051, 6055), (6071, 6075), (6077, 607E), (6171, 6175), (6197, 619E), (6207, 620E), (6227, 622E), (6261, 6265), (64E7, 64EE), (6521, 6525), (6571, 6575), (6607, 660E), (6621, 6625), (6671, 6675), (6757, 675E), (6777, 677E), (6861, 6865), (6881, 6885), (6911, 6915), (6997, 699E), (6X17, 6X1E), (6X47, 6X4E), (6X97, 6X9E), (6E47, 6E4E), (6E71, 6E75), (7001, 7005), (7011, 7015), (7051, 7055), (7131, 7135), (7187, 718E), (71E1, 71E5), (7221, 7225), (7241, 7245), (7287, 728E), (7391, 7395), (7457, 745E), (7561, 7565), (7577, 757E), (7587, 758E), (7617, 761E), (7637, 763E), (7661, 7665), (76E7, 76EE), (7737, 773E), (7747, 774E), (7767, 776E), (7851, 7855), (7867, 786E), (7921, 7925), (7E07, 7E0E), (7E11, 7E15), (7E67, 7E6E), (8041, 8045), (8047, 804E), (8067, 806E), (80E7, 80EE), (8151, 8155), (8197, 819E), (8231, 8235), (8251, 8255), (8357, 835E), (8407, 840E), (8417, 841E), (84E1, 84E5), (8511, 8515), (8571, 8575), (8591, 8595), (8621, 8625), (8641, 8645), (8667, 866E), (8677, 867E), (86E7, 86EE), (8747, 874E), (8797, 879E), (8831, 8835), (8881, 8885), (89E7, 89EE), (8X91, 8X95), (8E27, 8E2E), (8E71, 8E75), (9077, 907E), (9097, 909E), (90X7, 90XE), (9127, 912E), (9131, 9135), (9177, 917E), (9231, 9235), (9267, 926E), (9361, 9365), (9367, 936E), (9371, 9375), (9387, 938E), (9447, 944E), (9451, 9455), (94X1, 94X5), (9601, 9605), (9627, 962E), (9651, 9655), (9737, 973E), (9781, 9785), (97E7, 97EE), (9847, 984E), (9927, 992E), (9967, 996E), (9X31, 9X35), (9E57, 9E5E), (X031, X035), (X087, X08E), (X091, X095), (X137, X13E), (X201, X205), (X247, X24E), (X4X1, X4X5), (X537, X53E), (X5X7, X5XE), (X671, X675), (X691, X695), (X717, X71E), (X767, X76E), (X791, X795), (X807, X80E), (X821, X825), (X871, X875), (X907, X90E), (XX61, XX65), (XE41, XE45), (E001, E005), (E051, E055), (E147, E14E), (E277, E27E), (E2X1, E2X5), (E2X7, E2XE), (E2E1, E2E5), (E527, E52E), (E6X1, E6X5), (E727, E72E), (E781, E785), (E7X7, E7XE), (E811, E815), (E917, E91E), (E941, E945), (E971, E975), (E987, E98E), (EX27, EX2E), ...
(p, p+6) (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), (1011, 1017), (1017, 1021), (1021, 1027), (1041, 1047), (1047, 1051), (10E1, 10E7), (10E7, 1101), (10EE, 1105), (1101, 1107), (1125, 112E), (112E, 1135), (1185, 118E), (1197, 11X1), (11X1, 11X7), (11X5, 11XE), (11E7, 1201), (123E, 1245), (1255, 125E), (1257, 1261), (1297, 12X1), (12X1, 12X7), (133E, 1345), (1365, 136E), (138E, 1395), (13X1, 13X7), (13X7, 13E1), (1425, 142E), (1431, 1437), (143E, 1445), (1457, 1461), (1461, 1467), (1467, 1471), (1475, 147E), (148E, 1495), (1495, 149E), (14E5, 14EE), (1517, 1521), (157E, 1585), (1587, 1591), (1655, 165E), (1667, 1671), (1671, 1677), (1677, 1681), (167E, 1685), (1685, 168E), (1697, 16X1), (16X1, 16X7), (1747, 1751), (1751, 1757), (1785, 178E), (1797, 17X1), (1815, 181E), (181E, 1825), (1865, 186E), (186E, 1875), (1931, 1937), (194E, 1955), (19E7, 1X01), (1X11, 1X17), (1X2E, 1X35), (1X6E, 1X75), (1X71, 1X77), (1XE1, 1XE7), (1XE7, 1E01), (1E01, 1E07), (1E0E, 1E15), (1E7E, 1E85), (2001, 2007), (2005, 200E), (2007, 2011), (2047, 2051), (205E, 2065), (2065, 206E), (2071, 2077), (2107, 2111), (2115, 211E), (2127, 2131), (2131, 2137), (215E, 2165), (2177, 2181), (21X7, 21E1), (21E1, 21E7), (2215, 221E), (2245, 224E), (2287, 2291), (231E, 2325), (2325, 232E), (232E, 2335), (2395, 239E), (239E, 23X5), (23X5, 23XE), (23E1, 23E7), (2417, 2421), (2435, 243E), (2451, 2457), (247E, 2485), (2485, 248E), (24X1, 24X7), (252E, 2535), (2565, 256E), (258E, 2595), (2631, 2637), (265E, 2665), (26X1, 26X7), (26XE, 26E5), (26E5, 26EE), (2737, 2741), (2741, 2747), (2745, 274E), (2781, 2787), (27X7, 27E1), (27E1, 27E7), (2825, 282E), (282E, 2835), (2837, 2841), (2841, 2847), (2855, 285E), (2897, 28X1), (2927, 2931), (292E, 2935), (2935, 293E), (299E, 29X5), (2X07, 2X11), (2X2E, 2X35), (2X35, 2X3E), (2X47, 2X51), (2X5E, 2X65), (2X77, 2X81), (2X81, 2X87), (2X8E, 2X95), (2E35, 2E3E), (2E51, 2E57), (2E57, 2E61), (2E61, 2E67), (2E8E, 2E95), (3037, 3041), (303E, 3045), (3075, 307E), (3095, 309E), (309E, 30X5), (3145, 314E), (314E, 3155), (3155, 315E), (3167, 3171), (3171, 3177), (3187, 3191), (3191, 3197), (3197, 31X1), (31EE, 3205), (3205, 320E), (3225, 322E), (3241, 3247), (3271, 3277), (3277, 3281), (3321, 3327), (3327, 3331), (332E, 3335), (3331, 3337), (3357, 3361), (337E, 3385), (33X1, 33X7), (33X7, 33E1), (3435, 343E), (343E, 3445), (3451, 3457), (346E, 3475), (3477, 3481), (3485, 348E), (34E5, 34EE), (3565, 356E), (35E1, 35E7), (35EE, 3605), (3617, 3621), (3621, 3627), (3705, 370E), (3717, 3721), (3755, 375E), (375E, 3765), (3767, 3771), (379E, 37X5), (37X5, 37XE), (37XE, 37E5), (3801, 3807), (3815, 381E), (3821, 3827), (3827, 3831), (3831, 3837), (3871, 3877), (3957, 3961), (396E, 3975), (3977, 3981), (3X25, 3X2E), (3X41, 3X47), (3X67, 3X71), (3E47, 3E51), (3E4E, 3E55), (3E75, 3E7E), (3E7E, 3E85), (3EEE, 4005), (4041, 4047), (404E, 4055), (4055, 405E), (4067, 4071), (4085, 408E), (413E, 4145), (4155, 415E), (41XE, 41E5), (4207, 4211), (4211, 4217), (4231, 4237), (423E, 4245), (4357, 4361), (438E, 4395), (43E5, 43EE), (4425, 442E), (442E, 4435), (4445, 444E), (4475, 447E), (447E, 4485), (450E, 4515), (4541, 4547), (4571, 4577), (45X1, 45X7), (4635, 463E), (463E, 4645), (4677, 4681), (4681, 4687), (4685, 468E), (46X5, 46XE), (4707, 4711), (4777, 4781), (47E1, 47E7), (4815, 481E), (481E, 4825), (483E, 4845), (4845, 484E), (4881, 4887), (491E, 4925), (4925, 492E), (4947, 4951), (4967, 4971), (496E, 4975), (4987, 4991), (4X0E, 4X15), (4X5E, 4X65), (4X91, 4X97), (4E21, 4E27), (4E35, 4E3E), (4EX7, 4EE1), (5001, 5007), (501E, 5025), (5045, 504E), (5057, 5061), (5061, 5067), (5077, 5081), (5085, 508E), (508E, 5095), (513E, 5145), (5165, 516E), (5187, 5191), (51E7, 5201), (522E, 5235), (5261, 5267), (5267, 5271), (5297, 52X1), (5327, 5331), (5347, 5351), (5367, 5371), (5391, 5397), (53XE, 53E5), (5405, 540E), (5451, 5457), (54X1, 54X7), (54X7, 54E1), (550E, 5515), (5527, 5531), (5531, 5537), (5545, 554E), (555E, 5565), (5561, 5567), (5585, 558E), (558E, 5595), (5595, 559E), (55XE, 55E5), (5625, 562E), (5691, 5697), (569E, 56X5), (56E7, 5701), (5771, 5777), (577E, 5785), (57E1, 57E7), (5817, 5821), (5835, 583E), (584E, 5855), (5891, 5897), (58XE, 58E5), (5927, 5931), (59X5, 59XE), (5X11, 5X17), (5X45, 5X4E), (5X6E, 5X75), (5E1E, 5E25), (5E25, 5E2E), (5E37, 5E41), (5E8E, 5E95), (5E95, 5E9E), (604E, 6055), (6071, 6077), (6075, 607E), (6175, 617E), (617E, 6185), (61E7, 6201), (6201, 6207), (6257, 6261), (6265, 626E), (6327, 6331), (633E, 6345), (6345, 634E), (6351, 6357), (636E, 6375), (6387, 6391), (6425, 642E), (6437, 6441), (64EE, 6505), (6521, 6527), (656E, 6575), (6617, 6621), (6635, 663E), (6667, 6671), (6715, 671E), (6751, 6757), (678E, 6795), (6797, 67X1), (67X1, 67X7), (6857, 6861), (6995, 699E), (699E, 69X5), (69E5, 69EE), (69EE, 6X05), (6X11, 6X17), (6X17, 6X21), (6X21, 6X27), (6X75, 6X7E), (6X7E, 6X85), (6X9E, 6XX5), (6XX5, 6XXE), (6E01, 6E07), (6E25, 6E2E), (6E71, 6E77), (6E77, 6E81), (7005, 700E), (700E, 7015), (7015, 701E), (703E, 7045), (7051, 7057), (7085, 708E), (711E, 7125), (716E, 7175), (71E1, 71E7), (7257, 7261), (7275, 727E), (728E, 7295), (7295, 729E), (72X7, 72E1), (7311, 7317), (7317, 7321), (7341, 7347), (7347, 7351), (7371, 7377), (7395, 739E), (739E, 73X5), (73X5, 73XE), (7421, 7427), (7471, 7477), (7507, 7511), (7565, 756E), (757E, 7585), (7585, 758E), (75E5, 75EE), (7607, 7611), (7611, 7617), (7635, 763E), (7637, 7641), (7665, 766E), (766E, 7675), (76E1, 76E7), (76EE, 7705), (7715, 771E), (7757, 7761), (7761, 7767), (7837, 7841), (786E, 7875), (7917, 7921), (794E, 7955), (7955, 795E), (795E, 7965), (7X47, 7X51), (7X65, 7X6E), (7X77, 7X81), (7E01, 7E07), (7E07, 7E11), (7E0E, 7E15), (7E37, 7E41), (7E5E, 7E65), (7E65, 7E6E), (8041, 8047), (8045, 804E), (8065, 806E), (806E, 8075), (816E, 8175), (8195, 819E), (8227, 8231), (8235, 823E), (82XE, 82E5), (8355, 835E), (8371, 8377), (8401, 8407), (8427, 8431), (84E5, 84EE), (84EE, 8505), (8507, 8511), (8511, 8517), (8565, 856E), (856E, 8575), (8575, 857E), (8625, 862E), (8637, 8641), (8645, 864E), (864E, 8655), (8655, 865E), (86E1, 86E7), (874E, 8755), (8777, 8781), (879E, 87X5), (8885, 888E), (88X5, 88XE), (890E, 8915), (8957, 8961), (8961, 8967), (898E, 8995), (89EE, 8X05), (8X07, 8X11), (8X37, 8X41), (8X41, 8X47), (8X95, 8X9E), (8E45, 8E4E), (8E4E, 8E55), (9041, 9047), (9075, 907E), (9077, 9081), (9091, 9097), (9127, 9131), (912E, 9135), (9131, 9137), (9155, 915E), (915E, 9165), (917E, 9185), (9185, 918E), (918E, 9195), (91X1, 91X7), (9235, 923E), (9251, 9257), (9257, 9261), (9261, 9267), (9315, 931E), (9361, 9367), (9365, 936E), (9367, 9371), (936E, 9375), (938E, 9395), (9395, 939E), (9447, 9451), (944E, 9455), (9475, 947E), (947E, 9485), (94E7, 9501), (9551, 9557), (9577, 9581), (95E7, 9601), (9605, 960E), (960E, 9615), (9627, 9631), (9655, 965E), (965E, 9665), (96XE, 96E5), (9701, 9707), (9707, 9711), (9777, 9781), (97E1, 97E7), (9831, 9837), (989E, 98X5), (992E, 9935), (9961, 9967), (996E, 9975), (9975, 997E), (99E1, 99E7), (99E7, 9X01), (9X25, 9X2E), (9X2E, 9X35), (9X41, 9X47), (9X47, 9X51), (9X85, 9X8E), (9XX5, 9XXE), (9E3E, 9E45), (9E57, 9E61), (X011, X017), (X035, X03E), (X03E, X045), (X081, X087), (X087, X091), (X08E, X095), (X117, X121), (X13E, X145), (X145, X14E), (X14E, X155), (X157, X161), (X205, X20E), (X2E7, X301), (X35E, X365), (X43E, X445), (X457, X461), (X497, X4X1), (X4X5, X4XE), (X535, X53E), (X537, X541), (X5X1, X5X7), (X5X7, X5E1), (X5EE, X605), (X657, X661), (X661, X667), (X667, X671), (X68E, X695), (X711, X717), (X717, X721), (X7E7, X801), (X801, X807), (X817, X821), (X871, X877), (X90E, X915), (X9E5, X9EE), (XX1E, XX25), (XX57, XX61), (XX65, XX6E), (XE3E, XE45), (XE41, XE47), (XE91, XE97), (E01E, E025), (E055, E05E), (E061, E067), (E105, E10E), (E147, E151), (E151, E157), (E167, E171), (E197, E1X1), (E265, E26E), (E271, E277), (E2X1, E2X7), (E2X5, E2XE), (E2X7, E2E1), (E2XE, E2E5), (E301, E307), (E315, E31E), (E31E, E325), (E327, E331), (E331, E337), (E337, E341), (E351, E357), (E395, E39E), (E3XE, E3E5), (E3E5, E3EE), (E411, E417), (E417, E421), (E481, E487), (E521, E527), (E571, E577), (E5E1, E5E7), (E635, E63E), (E685, E68E), (E69E, E6X5), (E707, E711), (E771, E777), (E777, E781), (E785, E78E), (E78E, E795), (E7X7, E7E1), (E815, E81E), (E91E, E925), (E931, E937), (E937, E941), (E941, E947), (E975, E97E), (EX25, EX2E), (EX7E, EX85), (EE01, EE07), ...
(p, p+8) (octy primes): (3, E), (5, 11), (E, 17), (1E, 27), (25, 31), (45, 51), (4E, 57), (5E, 67), (75, 81), (85, 91), (XE, E7), (105, 111), (125, 131), (13E, 147), (175, 181), (19E, 1X7), (1X5, 1E1), (25E, 267), (285, 291), (295, 2X1), (2EE, 307), (315, 321), (33E, 347), (34E, 357), (3XE, 3E7), (3E5, 401), (415, 421), (41E, 427), (465, 471), (48E, 497), (4X5, 4E1), (4EE, 507), (51E, 527), (535, 541), (585, 591), (63E, 647), (655, 661), (69E, 6X7), (705, 711), (71E, 727), (745, 751), (785, 791), (80E, 817), (835, 841), (85E, 867), (865, 871), (8XE, 8E7), (8E5, 901), (91E, 927), (965, 971), (9EE, X07), (X0E, X17), (X35, X41), (X6E, X77), (X9E, XX7), (XXE, XE7), (E15, E21), (E25, E31), (E2E, E37), (1005, 1011), (107E, 1087), (10EE, 1107), (118E, 1197), (11XE, 11E7), (1255, 1261), (1295, 12X1), (12E5, 1301), (1345, 1351), (136E, 1377), (1395, 13X1), (1425, 1431), (142E, 1437), (1465, 1471), (150E, 1517), (156E, 1577), (157E, 1587), (1585, 1591), (1615, 1621), (165E, 1667), (168E, 1697), (169E, 16X7), (1705, 1711), (1745, 1751), (178E, 1797), (17EE, 1807), (1825, 1831), (186E, 1877), (18XE, 18E7), (1915, 1921), (1X35, 1X41), (1X45, 1X51), (1X6E, 1X77), (1XXE, 1XE7), (1E0E, 1E17), (1EE5, 2001), (2005, 2011), (202E, 2037), (2065, 2071), (206E, 2077), (211E, 2127), (2185, 2191), (219E, 21X7), (2215, 2221), (22E5, 2301), (231E, 2327), (232E, 2337), (23X5, 23E1), (23XE, 23E7), (2415, 2421), (244E, 2457), (252E, 2537), (2565, 2571), (2595, 25X1), (2625, 2631), (279E, 27X7), (282E, 2837), (2835, 2841), (2895, 28X1), (28EE, 2907), (2935, 2941), (2X3E, 2X47), (2X8E, 2X97), (2E0E, 2E17), (2E4E, 2E57), (2EXE, 2EE7), (3005, 3011), (3075, 3081), (315E, 3167), (3195, 31X1), (31EE, 3207), (323E, 3247), (3285, 3291), (331E, 3327), (332E, 3337), (3365, 3371), (33X5, 33E1), (341E, 3427), (3445, 3451), (346E, 3477), (3475, 3481), (3485, 3491), (35X5, 35E1), (3655, 3661), (367E, 3687), (370E, 3717), (3725, 3731), (375E, 3767), (3765, 3771), (37E5, 3801), (3815, 3821), (381E, 3827), (3845, 3851), (38E5, 3901), (3935, 3941), (396E, 3977), (3975, 3981), (399E, 39X7), (3X25, 3X31), (3X65, 3X71), (3E55, 3E61), (3E7E, 3E87), (3EXE, 3EE7), (403E, 4047), (405E, 4067), (408E, 4097), (4155, 4161), (417E, 4187), (420E, 4217), (4225, 4231), (438E, 4397), (43E5, 4401), (440E, 4417), (4435, 4441), (4445, 4451), (447E, 4487), (4535, 4541), (454E, 4557), (46EE, 4707), (4775, 4781), (4815, 4821), (4825, 4831), (488E, 4897), (4X15, 4X21), (4X5E, 4X67), (4E15, 4E21), (4E65, 4E71), (5025, 5031), (5035, 5041), (504E, 5057), (5095, 50X1), (513E, 5147), (5205, 5211), (522E, 5237), (525E, 5267), (5295, 52X1), (52XE, 52E7), (5385, 5391), (547E, 5487), (54X5, 54E1), (5545, 5551), (555E, 5567), (562E, 5637), (569E, 56X7), (5735, 5741), (580E, 5817), (584E, 5857), (58XE, 58E7), (5905, 5911), (59X5, 59E1), (5X0E, 5X17), (5X1E, 5X27), (5X45, 5X51), (5X5E, 5X67), (5X75, 5X81), (5E2E, 5E37), (5E75, 5E81), (601E, 6027), (613E, 6147), (6165, 6171), (619E, 61X7), (62X5, 62E1), (6345, 6351), (634E, 6357), (636E, 6377), (6405, 6411), (642E, 6437), (660E, 6617), (663E, 6647), (6675, 6681), (678E, 6797), (6795, 67X1), (67EE, 6807), (684E, 6857), (6915, 6921), (6X05, 6X11), (6X1E, 6X27), (6XX5, 6XE1), (6E75, 6E81), (7005, 7011), (7045, 7051), (708E, 7097), (7125, 7131), (7135, 7141), (7215, 7221), (7225, 7231), (727E, 7287), (729E, 72X7), (730E, 7317), (7335, 7341), (736E, 7377), (7415, 7421), (7435, 7441), (749E, 74X7), (7505, 7511), (756E, 7577), (757E, 7587), (75EE, 7607), (7635, 7641), (773E, 7747), (774E, 7757), (77E5, 7801), (780E, 7817), (786E, 7877), (7965, 7971), (7X6E, 7X77), (7XEE, 7E07), (7E35, 7E41), (7E5E, 7E67), (7E85, 7E91), (7E9E, 7EX7), (8075, 8081), (82XE, 82E7), (840E, 8417), (841E, 8427), (84EE, 8507), (8505, 8511), (8565, 8571), (862E, 8637), (865E, 8667), (866E, 8677), (86X5, 86E1), (870E, 8717), (873E, 8747), (878E, 8797), (8865, 8871), (888E, 8897), (890E, 8917), (8995, 89X1), (89EE, 8X07), (8X05, 8X11), (8X2E, 8X37), (8X9E, 8XX7), (8E2E, 8E37), (8EEE, 9007), (9075, 9081), (909E, 90X7), (912E, 9137), (9195, 91X1), (9235, 9241), (9365, 9371), (939E, 93X7), (947E, 9487), (9575, 9581), (96E5, 9701), (9775, 9781), (97XE, 97E7), (989E, 98X7), (991E, 9927), (99XE, 99E7), (9X25, 9X31), (9X35, 9X41), (9X8E, 9X97), (9E1E, 9E27), (9E3E, 9E47), (9E7E, 9E87), (X00E, X017), (X045, X051), (X05E, X067), (X095, X0X1), (X14E, X157), (X155, X161), (X205, X211), (X315, X321), (X35E, X367), (X43E, X447), (X455, X461), (X4X5, X4E1), (X535, X541), (X575, X581), (X59E, X5X7), (X63E, X647), (X76E, X777), (X80E, X817), (X97E, X987), (XX25, XX31), (XE3E, XE47), (XEE5, E001), (E055, E061), (E05E, E067), (E14E, E157), (E18E, E197), (E205, E211), (E265, E271), (E26E, E277), (E2X5, E2E1), (E2E5, E301), (E31E, E327), (E325, E331), (E4X5, E4E1), (E51E, E527), (E555, E561), (E5X5, E5E1), (E63E, E647), (E705, E711), (E73E, E747), (E885, E891), (E925, E931), (E97E, E987), (EX7E, EX87), ...
(p, p+X) (dekry primes): (3, 11), (7, 15), (11, 1E), (17, 25), (27, 35), (31, 3E), (37, 45), (51, 5E), (61, 6E), (67, 75), (81, 8E), (87, 95), (X7, E5), (E7, 105), (111, 11E), (117, 125), (131, 13E), (167, 175), (171, 17E), (181, 18E), (1X7, 1E5), (1E7, 205), (217, 225), (241, 24E), (251, 25E), (271, 27E), (277, 285), (2X1, 2XE), (2E1, 2EE), (301, 30E), (307, 315), (321, 32E), (357, 365), (397, 3X5), (401, 40E), (427, 435), (447, 455), (457, 465), (481, 48E), (497, 4X5), (4E1, 4EE), (511, 51E), (527, 535), (557, 565), (577, 585), (591, 59E), (5E1, 5EE), (611, 61E), (647, 655), (661, 66E), (687, 695), (701, 70E), (711, 71E), (727, 735), (737, 745), (767, 775), (771, 77E), (801, 80E), (817, 825), (851, 85E), (881, 88E), (8X7, 8E5), (8E7, 905), (901, 90E), (987, 995), (9X7, 9E5), (9E1, 9EE), (X27, X35), (X37, X45), (X41, X4E), (X87, X95), (X91, X9E), (E11, E1E), (E21, E2E), (E37, E45), (E61, E6E), (E97, EX5), (EE7, 1005), (1041, 104E), (1061, 106E), (10E1, 10EE), (10E7, 1105), (1107, 1115), (1197, 11X5), (11X1, 11XE), (1201, 120E), (1211, 121E), (1231, 123E), (1261, 126E), (1297, 12X5), (12X7, 12E5), (1337, 1345), (13X7, 13E5), (1431, 143E), (1437, 1445), (1457, 1465), (1467, 1475), (1471, 147E), (14E1, 14EE), (1517, 1525), (1561, 156E), (1577, 1585), (1647, 1655), (1671, 167E), (1677, 1685), (1681, 168E), (16X7, 16E5), (16E7, 1705), (1727, 1735), (1747, 1755), (1781, 178E), (1797, 17X5), (1807, 1815), (1831, 183E), (1861, 186E), (18X1, 18XE), (1947, 1955), (1971, 197E), (1X11, 1X1E), (1E01, 1E0E), (1E07, 1E15), (1E41, 1E4E), (2001, 200E), (2051, 205E), (2061, 206E), (2077, 2085), (2097, 20X5), (20X7, 20E5), (2107, 2115), (2111, 211E), (2177, 2185), (2191, 219E), (2221, 222E), (2241, 224E), (2267, 2275), (2291, 229E), (2317, 2325), (2327, 2335), (2397, 23X5), (2481, 248E), (2521, 252E), (2537, 2545), (2547, 2555), (2557, 2565), (2571, 257E), (2581, 258E), (2607, 2615), (2617, 2625), (2637, 2645), (26X1, 26XE), (26X7, 26E5), (2717, 2725), (2737, 2745), (2741, 274E), (2827, 2835), (2847, 2855), (2897, 28X5), (2927, 2935), (2931, 293E), (2991, 299E), (2X11, 2X1E), (2X31, 2X3E), (2X51, 2X5E), (2X81, 2X8E), (2X87, 2X95), (2X97, 2XX5), (2E31, 2E3E), (2EE7, 3005), (3037, 3045), (30E7, 3105), (3167, 3175), (3187, 3195), (3241, 324E), (3277, 3285), (3291, 329E), (3321, 332E), (3327, 3335), (3337, 3345), (3357, 3365), (3371, 337E), (3427, 3435), (3467, 3475), (3477, 3485), (3481, 348E), (3491, 349E), (35E1, 35EE), (35E7, 3605), (3627, 3635), (3637, 3645), (3661, 366E), (3671, 367E), (3697, 36X5), (3717, 3725), (3747, 3755), (3771, 377E), (3791, 379E), (3807, 3815), (3837, 3845), (3901, 390E), (3961, 396E), (3977, 3985), (3X47, 3X55), (3X57, 3X65), (3X71, 3X7E), (3E11, 3E1E), (3E21, 3E2E), (3E47, 3E55), (3EE7, 4005), (4031, 403E), (4041, 404E), (4047, 4055), (4067, 4075), (4111, 411E), (41X1, 41XE), (4217, 4225), (4231, 423E), (4237, 4245), (4281, 428E), (42X1, 42XE), (43E1, 43EE), (4401, 440E), (4417, 4425), (4441, 444E), (4451, 445E), (4471, 447E), (4507, 4515), (4541, 454E), (4571, 457E), (4677, 4685), (4681, 468E), (4707, 4715), (47E7, 4805), (4831, 483E), (4881, 488E), (4901, 490E), (4911, 491E), (4921, 492E), (4947, 4955), (4967, 4975), (4X01, 4X0E), (4X21, 4X2E), (4X57, 4X65), (4E27, 4E35), (4E57, 4E65), (4E87, 4E95), (5041, 504E), (5077, 5085), (5081, 508E), (5131, 513E), (5147, 5155), (51E7, 5205), (5211, 521E), (5261, 526E), (52X1, 52XE), (5347, 5355), (5367, 5375), (53X7, 53E5), (5457, 5465), (5537, 5545), (5551, 555E), (5587, 5595), (5607, 5615), (5691, 569E), (5697, 56X5), (5727, 5735), (5771, 577E), (5777, 5785), (57E1, 57EE), (5831, 583E), (58E7, 5905), (59E1, 59EE), (5X11, 5X1E), (5X51, 5X5E), (5X67, 5X75), (5E17, 5E25), (5E67, 5E75), (5E81, 5E8E), (5E91, 5E9E), (6071, 607E), (6091, 609E), (6171, 617E), (6201, 620E), (6257, 6265), (6261, 626E), (6297, 62X5), (62E1, 62EE), (6331, 633E), (63E7, 6405), (6441, 644E), (6487, 6495), (6497, 64X5), (64E7, 6505), (6551, 655E), (6561, 656E), (6617, 6625), (6667, 6675), (6707, 6715), (6751, 675E), (6857, 6865), (6921, 692E), (6997, 69X5), (6X11, 6X1E), (6X67, 6X75), (6X97, 6XX5), (6E07, 6E15), (6E17, 6E25), (7001, 700E), (7011, 701E), (7101, 710E), (7111, 711E), (7207, 7215), (7287, 7295), (72E1, 72EE), (7361, 736E), (7391, 739E), (7427, 7435), (7491, 749E), (74X7, 74E5), (7561, 756E), (7577, 7585), (7611, 761E), (7661, 766E), (76E1, 76EE), (76E7, 7705), (7761, 776E), (7797, 77X5), (7801, 780E), (7867, 7875), (7917, 7925), (7941, 794E), (7971, 797E), (79X1, 79XE), (7X27, 7X35), (7XE1, 7XEE), (7E01, 7E0E), (7E07, 7E15), (7E27, 7E35), (7E91, 7E9E), (8007, 8015), (8041, 804E), (8067, 8075), (8081, 808E), (8127, 8135), (8187, 8195), (8227, 8235), (8231, 823E), (8271, 827E), (8331, 833E), (8401, 840E), (8431, 843E), (8467, 8475), (84E1, 84EE), (8507, 8515), (8571, 857E), (8621, 862E), (8637, 8645), (8641, 864E), (86E1, 86EE), (8731, 873E), (8747, 8755), (8781, 878E), (8797, 87X5), (8881, 888E), (8897, 88X5), (8901, 890E), (8917, 8925), (8981, 898E), (89E7, 8X05), (8X11, 8X1E), (8X21, 8X2E), (8X47, 8X55), (8X71, 8X7E), (8X91, 8X9E), (8XX7, 8XE5), (8E37, 8E45), (8EE1, 8EEE), (9007, 9015), (9057, 9065), (9091, 909E), (9127, 9135), (9137, 9145), (9177, 9185), (9231, 923E), (9261, 926E), (9307, 9315), (9361, 936E), (9367, 9375), (9387, 9395), (9447, 9455), (9557, 9565), (95E7, 9605), (9601, 960E), (9651, 965E), (9687, 9695), (9777, 9785), (97E1, 97EE), (9927, 9935), (9961, 996E), (9967, 9975), (9X17, 9X25), (9X97, 9XX5), (X031, X03E), (X051, X05E), (X081, X08E), (X087, X095), (X137, X145), (X171, X17E), (X201, X20E), (X227, X235), (X277, X285), (X321, X32E), (X397, X3X5), (X421, X42E), (X447, X455), (X461, X46E), (X497, X4X5), (X4X1, X4XE), (X541, X54E), (X5X1, X5XE), (X5E1, X5EE), (X631, X63E), (X667, X675), (X711, X71E), (X801, X80E), (X817, X825), (X851, X85E), (X907, X915), (X971, X97E), (X997, X9X5), (XX57, XX65), (XX61, XX6E), (XXE7, XE05), (E051, E05E), (E181, E18E), (E211, E21E), (E271, E27E), (E2X1, E2XE), (E2X7, E2E5), (E307, E315), (E377, E385), (E387, E395), (E487, E495), (E497, E4X5), (E4E1, E4EE), (E521, E52E), (E597, E5X5), (E647, E655), (E677, E685), (E6E7, E705), (E777, E785), (E781, E78E), (E811, E81E), (E8X7, E8E5), (E917, E925), (E937, E945), (E947, E955), (E971, E97E), (E9X7, E9E5), (EX71, EX7E), (EE97, EEX5), ...
(p, p+10) (dozeny primes): (5, 15), (7, 17), (E, 1E), (15, 25), (17, 27), (25, 35), (27, 37), (35, 45), (3E, 4E), (4E, 5E), (51, 61), (57, 67), (5E, 6E), (75, 85), (81, 91), (85, 95), (X7, E7), (E5, 105), (E7, 107), (107, 117), (11E, 12E), (12E, 13E), (131, 141), (147, 157), (157, 167), (16E, 17E), (171, 181), (17E, 18E), (18E, 19E), (195, 1X5), (1X5, 1E5), (1X7, 1E7), (1E5, 205), (241, 251), (24E, 25E), (267, 277), (285, 295), (291, 2X1), (2X1, 2E1), (2XE, 2EE), (2E1, 301), (2EE, 30E), (315, 325), (32E, 33E), (33E, 34E), (347, 357), (34E, 35E), (365, 375), (3X5, 3E5), (40E, 41E), (421, 431), (427, 437), (437, 447), (447, 457), (455, 465), (45E, 46E), (471, 481), (507, 517), (517, 527), (531, 541), (535, 545), (565, 575), (575, 585), (577, 587), (58E, 59E), (637, 647), (655, 665), (665, 675), (68E, 69E), (6E1, 701), (701, 711), (70E, 71E), (711, 721), (727, 737), (735, 745), (737, 747), (76E, 77E), (775, 785), (791, 7X1), (7EE, 80E), (825, 835), (841, 851), (855, 865), (871, 881), (8X5, 8E5), (8X7, 8E7), (8E5, 905), (8E7, 907), (90E, 91E), (955, 965), (9XE, 9EE), (9EE, X0E), (X07, X17), (X17, X27), (X27, X37), (X35, X45), (X3E, X4E), (X4E, X5E), (X5E, X6E), (X77, X87), (X9E, XXE), (XX7, XE7), (XXE, XEE), (E11, E21), (E15, E25), (E1E, E2E), (E21, E31), (E61, E71), (E95, EX5), (EX5, EE5), (EE5, 1005), (1011, 1021), (1017, 1027), (1041, 1051), (1051, 1061), (106E, 107E), (10E1, 1101), (10E7, 1107), (1105, 1115), (1115, 1125), (1125, 1135), (1197, 11X7), (11X7, 11E7), (1201, 1211), (120E, 121E), (1245, 1255), (125E, 126E), (126E, 127E), (1295, 12X5), (1297, 12X7), (12X5, 12E5), (1367, 1377), (1391, 13X1), (13X1, 13E1), (13E5, 1405), (142E, 143E), (1457, 1467), (1461, 1471), (1465, 1475), (147E, 148E), (148E, 149E), (14EE, 150E), (156E, 157E), (1577, 1587), (15XE, 15EE), (1615, 1625), (1625, 1635), (1647, 1657), (1657, 1667), (1667, 1677), (1671, 1681), (167E, 168E), (168E, 169E), (1697, 16X7), (16X7, 16E7), (16E5, 1705), (1705, 1715), (1735, 1745), (1745, 1755), (1747, 1757), (1815, 1825), (183E, 184E), (1865, 1875), (189E, 18XE), (18XE, 18EE), (1911, 1921), (1921, 1931), (1937, 1947), (1971, 1981), (1X01, 1X11), (1X1E, 1X2E), (1X35, 1X45), (1X41, 1X51), (1X77, 1X87), (1XE1, 1E01), (1XE7, 1E07), (1E07, 1E17), (1E17, 1E27), (1E2E, 1E3E), (1E3E, 1E4E), (1E41, 1E51), (1EE5, 2005), (2001, 2011), (2037, 2047), (2051, 2061), (205E, 206E), (2061, 2071), (2077, 2087), (2087, 2097), (2097, 20X7), (20X5, 20E5), (2127, 2137), (214E, 215E), (2181, 2191), (21X7, 21E7), (221E, 222E), (2265, 2275), (228E, 229E), (22E1, 2301), (2317, 2327), (231E, 232E), (2325, 2335), (2327, 2337), (2337, 2347), (2385, 2395), (2395, 23X5), (239E, 23XE), (243E, 244E), (2457, 2467), (247E, 248E), (2535, 2545), (2537, 2547), (2545, 2555), (2547, 2557), (2555, 2565), (256E, 257E), (2571, 2581), (257E, 258E), (2607, 2617), (2615, 2625), (2665, 2675), (2675, 2685), (26XE, 26EE), (2715, 2725), (2737, 2747), (2771, 2781), (27X7, 27E7), (2825, 2835), (2827, 2837), (2837, 2847), (285E, 286E), (286E, 287E), (2895, 28X5), (292E, 293E), (2931, 2941), (2941, 2951), (29X5, 29E5), (2X1E, 2X2E), (2X2E, 2X3E), (2X51, 2X61), (2X77, 2X87), (2X87, 2X97), (2X95, 2XX5), (2X97, 2XX7), (2XEE, 2E0E), (2E3E, 2E4E), (2E51, 2E61), (2E57, 2E67), (2EX7, 2EE7), (3011, 3021), (3065, 3075), (3095, 30X5), (3145, 3155), (314E, 315E), (3167, 3177), (3177, 3187), (3187, 3197), (3191, 31X1), (31EE, 320E), (322E, 323E), (323E, 324E), (3271, 3281), (3281, 3291), (331E, 332E), (3321, 3331), (3327, 3337), (3335, 3345), (3361, 3371), (33X1, 33E1), (3417, 3427), (3435, 3445), (3457, 3467), (3467, 3477), (3475, 3485), (3481, 3491), (348E, 349E), (3491, 34X1), (351E, 352E), (3617, 3627), (3627, 3637), (3635, 3645), (3645, 3655), (3661, 3671), (366E, 367E), (3687, 3697), (3707, 3717), (3721, 3731), (3755, 3765), (377E, 378E), (378E, 379E), (379E, 37XE), (37X5, 37E5), (3821, 3831), (3827, 3837), (38E1, 3901), (395E, 396E), (3975, 3985), (39X7, 39E7), (3X31, 3X41), (3X47, 3X57), (3X55, 3X65), (3X57, 3X67), (3E0E, 3E1E), (3E11, 3E21), (3E1E, 3E2E), (3E51, 3E61), (3E75, 3E85), (3E87, 3E97), (3EXE, 3EEE), (402E, 403E), (4031, 4041), (403E, 404E), (404E, 405E), (4075, 4085), (4097, 40X7), (4101, 4111), (4145, 4155), (4207, 4217), (4281, 4291), (4291, 42X1), (42X1, 42E1), (43E1, 4401), (43EE, 440E), (4425, 4435), (4435, 4445), (4441, 4451), (444E, 445E), (4451, 4461), (4461, 4471), (4475, 4485), (4487, 4497), (4531, 4541), (4547, 4557), (454E, 455E), (4591, 45X1), (4635, 4645), (4645, 4655), (4655, 4665), (4677, 4687), (46XE, 46EE), (4715, 4725), (4727, 4737), (4805, 4815), (4815, 4825), (4821, 4831), (483E, 484E), (4887, 4897), (4897, 48X7), (4901, 4911), (490E, 491E), (4911, 4921), (491E, 492E), (4991, 49X1), (4X21, 4X31), (4X57, 4X67), (4X67, 4X77), (4E05, 4E15), (4E27, 4E37), (4E85, 4E95), (4EE1, 5001), (5025, 5035), (5031, 5041), (5035, 5045), (5057, 5067), (5067, 5077), (5085, 5095), (511E, 512E), (512E, 513E), (5145, 5155), (5155, 5165), (5201, 5211), (521E, 522E), (525E, 526E), (5261, 5271), (5285, 5295), (5317, 5327), (5375, 5385), (5397, 53X7), (53E5, 5405), (540E, 541E), (5455, 5465), (547E, 548E), (54X1, 54E1), (5527, 5537), (554E, 555E), (5551, 5561), (5585, 5595), (558E, 559E), (559E, 55XE), (5615, 5625), (562E, 563E), (5681, 5691), (5697, 56X7), (56X7, 56E7), (5701, 5711), (5725, 5735), (5761, 5771), (57X1, 57E1), (57EE, 580E), (5821, 5831), (583E, 584E), (5857, 5867), (5867, 5877), (58E5, 5905), (59XE, 59EE), (59EE, 5X0E), (5X0E, 5X1E), (5X17, 5X27), (5X4E, 5X5E), (5X5E, 5X6E), (5X75, 5X85), (5X85, 5X95), (5XXE, 5XEE), (5E1E, 5E2E), (5E2E, 5E3E), (5E55, 5E65), (5E65, 5E75), (5E81, 5E91), (5E8E, 5E9E), (5EE1, 6001), (609E, 60XE), (60E1, 6101), (6165, 6175), (6175, 6185), (6197, 61X7), (61X7, 61E7), (61E7, 6207), (6247, 6257), (633E, 634E), (6377, 6387), (63E5, 6405), (6487, 6497), (6495, 64X5), (6497, 64X7), (64X7, 64E7), (6527, 6537), (6551, 6561), (655E, 656E), (6561, 6571), (6607, 6617), (6625, 6635), (6647, 6657), (6657, 6667), (6671, 6681), (671E, 672E), (672E, 673E), (677E, 678E), (6797, 67X7), (6885, 6895), (6911, 6921), (6921, 6931), (6947, 6957), (6957, 6967), (6995, 69X5), (69X5, 69E5), (69E5, 6X05), (6X11, 6X21), (6X17, 6X27), (6X75, 6X85), (6X9E, 6XXE), (6XE1, 6E01), (6E07, 6E17), (6E15, 6E25), (6E71, 6E81), (7001, 7011), (7005, 7015), (700E, 701E), (7045, 7055), (70XE, 70EE), (70EE, 710E), (7101, 7111), (710E, 711E), (7125, 7135), (7131, 7141), (7141, 7151), (71E7, 7207), (7215, 7225), (7221, 7231), (7231, 7241), (727E, 728E), (728E, 729E), (72EE, 730E), (7311, 7321), (7341, 7351), (7351, 7361), (7361, 7371), (7395, 73X5), (739E, 73XE), (73XE, 73EE), (74E5, 7505), (7511, 7521), (7521, 7531), (756E, 757E), (7577, 7587), (757E, 758E), (75X5, 75E5), (7607, 7617), (7665, 7675), (7705, 7715), (7737, 7747), (773E, 774E), (7747, 7757), (7757, 7767), (7795, 77X5), (77X5, 77E5), (7841, 7851), (7867, 7877), (7907, 7917), (794E, 795E), (7955, 7965), (797E, 798E), (7XE1, 7E01), (7XEE, 7E0E), (7E01, 7E11), (7E15, 7E25), (7E25, 7E35), (7E27, 7E37), (7E5E, 7E6E), (8005, 8015), (8065, 8075), (8081, 8091), (8125, 8135), (8127, 8137), (8187, 8197), (8321, 8331), (83E1, 8401), (8407, 8417), (840E, 841E), (8417, 8427), (8431, 8441), (8441, 8451), (84E5, 8505), (8505, 8515), (8507, 8517), (8565, 8575), (856E, 857E), (8595, 85X5), (8645, 8655), (864E, 865E), (865E, 866E), (8667, 8677), (866E, 867E), (86EE, 870E), (872E, 873E), (873E, 874E), (878E, 879E), (87X5, 87E5), (8871, 8881), (8915, 8925), (8925, 8935), (8935, 8945), (8957, 8967), (89E7, 8X07), (8X11, 8X21), (8X1E, 8X2E), (8X37, 8X47), (8X47, 8X57), (8X71, 8X81), (8X81, 8X91), (8XE5, 8E05), (8E17, 8E27), (8E27, 8E37), (8E45, 8E55), (9015, 9025), (9047, 9057), (9065, 9075), (9081, 9091), (9097, 90X7), (909E, 90XE), (9127, 9137), (9135, 9145), (9145, 9155), (9155, 9165), (917E, 918E), (9185, 9195), (9231, 9241), (9241, 9251), (9251, 9261), (9257, 9267), (929E, 92XE), (9361, 9371), (9365, 9375), (938E, 939E), (93EE, 940E), (9475, 9485), (9565, 9575), (9581, 9591), (9605, 9615), (9655, 9665), (9701, 9711), (973E, 974E), (974E, 975E), (9775, 9785), (9785, 9795), (97XE, 97EE), (9821, 9831), (9837, 9847), (988E, 989E), (98X7, 98E7), (991E, 992E), (9935, 9945), (996E, 997E), (99E1, 9X01), (9X25, 9X35), (9X31, 9X41), (9X41, 9X51), (9E47, 9E57), (X035, X045), (X081, X091), (X091, X0X1), (X0E7, X107), (X107, X117), (X13E, X14E), (X145, X155), (X161, X171), (X197, X1X7), (X201, X211), (X225, X235), (X275, X285), (X285, X295), (X321, X331), (X331, X341), (X397, X3X7), (X3X7, X3E7), (X3E7, X407), (X42E, X43E), (X445, X455), (X447, X457), (X487, X497), (X4X1, X4E1), (X53E, X54E), (X541, X551), (X565, X575), (X59E, X5XE), (X5X1, X5E1), (X5XE, X5EE), (X621, X631), (X647, X657), (X657, X667), (X661, X671), (X695, X6X5), (X701, X711), (X711, X721), (X735, X745), (X745, X755), (X767, X777), (X795, X7X5), (X7E7, X807), (X807, X817), (X841, X851), (X891, X8X1), (X987, X997), (X9X5, X9E5), (X9EE, XX0E), (XX0E, XX1E), (XE2E, XE3E), (XE6E, XE7E), (XEE5, E005), (E051, E061), (E147, E157), (E157, E167), (E171, E181), (E1E5, E205), (E26E, E27E), (E27E, E28E), (E2X1, E2E1), (E2X5, E2E5), (E2E1, E301), (E315, E325), (E327, E337), (E331, E341), (E341, E351), (E377, E387), (E385, E395), (E39E, E3XE), (E3XE, E3EE), (E411, E421), (E487, E497), (E495, E4X5), (E4EE, E50E), (E50E, E51E), (E51E, E52E), (E561, E571), (E595, E5X5), (E655, E665), (E665, E675), (E675, E685), (E68E, E69E), (E6E7, E707), (E72E, E73E), (E761, E771), (E771, E781), (E785, E795), (E7E1, E801), (E801, E811), (E84E, E85E), (E875, E885), (E931, E941), (E937, E947), (E945, E955), (E97E, E98E), (E9X7, E9E7), (EX51, EX61), (EX61, EX71), (EX87, EX97), (EE07, EE17), (EE2E, EE3E), (EE75, EE85), (EE97, EEX7), (EEX7, EEE7), (EEE7, 10007), ...
(p, p+20) (viginty primes): (5, 25), (7, 27), (11, 31), (15, 35), (17, 37), (1E, 3E), (25, 45), (31, 51), (37, 57), (3E, 5E), (4E, 6E), (61, 81), (67, 87), (6E, 8E), (75, 95), (87, X7), (8E, XE), (95, E5), (X7, 107), (E7, 117), (105, 125), (111, 131), (11E, 13E), (125, 145), (147, 167), (16E, 18E), (175, 195), (17E, 19E), (195, 1E5), (1X5, 205), (1E7, 217), (205, 225), (217, 237), (221, 241), (251, 271), (25E, 27E), (271, 291), (291, 2E1), (2X1, 301), (2XE, 30E), (301, 321), (307, 327), (30E, 32E), (327, 347), (32E, 34E), (33E, 35E), (357, 377), (377, 397), (397, 3E7), (3XE, 40E), (3E5, 415), (401, 421), (415, 435), (427, 447), (435, 455), (437, 457), (465, 485), (46E, 48E), (485, 4X5), (4E1, 511), (4EE, 51E), (507, 527), (511, 531), (545, 565), (557, 577), (565, 585), (591, 5E1), (59E, 5EE), (5E1, 611), (5E5, 615), (5E7, 617), (5EE, 61E), (617, 637), (61E, 63E), (655, 675), (66E, 68E), (675, 695), (687, 6X7), (6E1, 711), (701, 721), (727, 747), (747, 767), (751, 771), (771, 791), (7X1, 801), (80E, 82E), (835, 855), (851, 871), (88E, 8XE), (8X5, 905), (8X7, 907), (8XE, 90E), (901, 921), (907, 927), (987, 9X7), (995, 9E5), (9X7, X07), (9XE, X0E), (9E1, X11), (X07, X27), (X17, X37), (X3E, X5E), (X4E, X6E), (X87, XX7), (X9E, XEE), (XEE, E1E), (E11, E31), (E25, E45), (E71, E91), (E95, EE5), (E97, EE7), (EX5, 1005), (EE7, 1017), (1021, 1041), (1027, 1047), (1041, 1061), (104E, 106E), (107E, 109E), (109E, 10EE), (1105, 1125), (1115, 1135), (112E, 114E), (1165, 1185), (1185, 11X5), (118E, 11XE), (1197, 11E7), (11X1, 1201), (11XE, 120E), (1211, 1231), (121E, 123E), (123E, 125E), (125E, 127E), (1261, 1281), (1281, 12X1), (1295, 12E5), (12X1, 1301), (1317, 1337), (1345, 1365), (136E, 138E), (1391, 13E1), (1395, 13E5), (13X7, 1407), (1405, 1425), (1425, 1445), (1437, 1457), (1445, 1465), (1475, 1495), (147E, 149E), (1495, 14E5), (149E, 14EE), (1601, 1621), (1615, 1635), (1635, 1655), (1647, 1667), (1657, 1677), (165E, 167E), (1677, 1697), (167E, 169E), (1681, 16X1), (1697, 16E7), (16E5, 1715), (1715, 1735), (1727, 1747), (1735, 1755), (176E, 178E), (1781, 17X1), (1785, 17X5), (17EE, 181E), (181E, 183E), (184E, 186E), (189E, 18EE), (1911, 1931), (19E7, 1X17), (19EE, 1X1E), (1X51, 1X71), (1XXE, 1E0E), (1XE7, 1E17), (1E07, 1E27), (1E0E, 1E2E), (1E2E, 1E4E), (1E65, 1E85), (1EX1, 2001), (200E, 202E), (2051, 2071), (2065, 2085), (2077, 2097), (2085, 20X5), (2087, 20X7), (20X7, 2107), (20E5, 2115), (2107, 2127), (2111, 2131), (2161, 2181), (2165, 2185), (2191, 21E1), (2221, 2241), (222E, 224E), (2245, 2265), (2267, 2287), (2291, 22E1), (2317, 2337), (2327, 2347), (232E, 234E), (2347, 2367), (2385, 23X5), (2397, 23E7), (23E7, 2417), (2415, 2435), (2481, 24X1), (2485, 24X5), (24X1, 2501), (2501, 2521), (2535, 2555), (2537, 2557), (2545, 2565), (256E, 258E), (2581, 25X1), (2617, 2637), (2625, 2645), (2645, 2665), (2665, 2685), (2687, 26X7), (26E5, 2715), (2717, 2737), (2725, 2745), (274E, 276E), (2787, 27X7), (27E1, 2811), (2827, 2847), (2835, 2855), (285E, 287E), (2907, 2927), (2931, 2951), (2935, 2955), (2X11, 2X31), (2X1E, 2X3E), (2X31, 2X51), (2X3E, 2X5E), (2X61, 2X81), (2X77, 2X97), (2X87, 2XX7), (2E31, 2E51), (2E8E, 2EXE), (3021, 3041), (3045, 3065), (3075, 3095), (307E, 309E), (30X5, 3105), (30E7, 3117), (3155, 3175), (3167, 3187), (3171, 3191), (3175, 3195), (3177, 3197), (3205, 3225), (3207, 3227), (320E, 322E), (3227, 3247), (322E, 324E), (3271, 3291), (3307, 3327), (3337, 3357), (3345, 3365), (3365, 3385), (3385, 33X5), (341E, 343E), (3457, 3477), (346E, 348E), (3481, 34X1), (349E, 34EE), (34EE, 351E), (356E, 358E), (35X5, 3605), (35E7, 3617), (3617, 3637), (3635, 3655), (36X5, 3705), (3705, 3725), (3747, 3767), (375E, 377E), (3771, 3791), (377E, 379E), (378E, 37XE), (37E5, 3815), (3801, 3821), (3807, 3827), (3831, 3851), (3851, 3871), (3877, 3897), (3895, 38E5), (3941, 3961), (3957, 3977), (3961, 3981), (3X11, 3X31), (3X47, 3X67), (3X71, 3X91), (3X95, 3XE5), (3E0E, 3E2E), (3E2E, 3E4E), (3E55, 3E75), (3E97, 3EE7), (402E, 404E), (403E, 405E), (4047, 4067), (4055, 4075), (408E, 40XE), (411E, 413E), (413E, 415E), (415E, 417E), (41XE, 420E), (4211, 4231), (4217, 4237), (4225, 4245), (426E, 428E), (4281, 42X1), (428E, 42XE), (4291, 42E1), (4321, 4341), (4341, 4361), (4375, 4395), (4395, 43E5), (440E, 442E), (4425, 4445), (442E, 444E), (4441, 4461), (4451, 4471), (445E, 447E), (447E, 449E), (4515, 4535), (4557, 4577), (455E, 457E), (4571, 4591), (4615, 4635), (4635, 4655), (4645, 4665), (4665, 4685), (4685, 46X5), (468E, 46XE), (4707, 4727), (4761, 4781), (4805, 4825), (481E, 483E), (4825, 4845), (484E, 486E), (486E, 488E), (4887, 48X7), (4901, 4921), (490E, 492E), (4947, 4967), (4951, 4971), (4955, 4975), (4967, 4987), (4971, 4991), (49X1, 4X01), (4X01, 4X21), (4X0E, 4X2E), (4X57, 4X77), (4X5E, 4X7E), (4X77, 4X97), (4E15, 4E35), (4E37, 4E57), (4E65, 4E85), (4E87, 4EX7), (4EX7, 5007), (5025, 5045), (5041, 5061), (5057, 5077), (5061, 5081), (5081, 50X1), (50E7, 5117), (50EE, 511E), (511E, 513E), (5145, 5165), (5147, 5167), (5167, 5187), (5297, 52E7), (52E7, 5317), (5327, 5347), (5331, 5351), (5347, 5367), (5351, 5371), (5355, 5375), (5371, 5391), (53XE, 540E), (5435, 5455), (5487, 54X7), (5531, 5551), (5545, 5565), (5565, 5585), (5567, 5587), (558E, 55XE), (5595, 55E5), (55E5, 5615), (5697, 56E7), (5741, 5761), (575E, 577E), (577E, 579E), (579E, 57EE), (57E7, 5817), (5835, 5855), (5857, 5877), (5877, 5897), (5897, 58E7), (5911, 5931), (5985, 59X5), (59XE, 5X0E), (59E1, 5X11), (59EE, 5X1E), (5X4E, 5X6E), (5X75, 5X95), (5XEE, 5E1E), (5E17, 5E37), (5E1E, 5E3E), (5E55, 5E75), (5E75, 5E95), (5E91, 5EE1), (6051, 6071), (6055, 6075), (6071, 6091), (607E, 609E), (6091, 60E1), (6165, 6185), (617E, 619E), (6197, 61E7), (61X7, 6207), (6207, 6227), (620E, 622E), (6227, 6247), (6245, 6265), (6261, 6281), (6331, 6351), (634E, 636E), (6357, 6377), (6405, 6425), (642E, 644E), (644E, 646E), (6487, 64X7), (6497, 64E7), (64X5, 6505), (6505, 6525), (6551, 6571), (6571, 6591), (6647, 6667), (6681, 66X1), (66E5, 6715), (671E, 673E), (673E, 675E), (6757, 6777), (675E, 677E), (6777, 6797), (67X7, 6807), (6807, 6827), (6861, 6881), (6865, 6885), (6895, 68E5), (68E5, 6915), (6911, 6931), (6947, 6967), (6995, 69E5), (699E, 69EE), (69X5, 6X05), (69EE, 6X1E), (6X27, 6X47), (6X47, 6X67), (6X7E, 6X9E), (6X85, 6XX5), (6E2E, 6E4E), (6E81, 6EX1), (6EX1, 7001), (701E, 703E), (708E, 70XE), (70XE, 710E), (70EE, 711E), (7111, 7131), (7131, 7151), (716E, 718E), (71E5, 7215), (7221, 7241), (7225, 7245), (7241, 7261), (7275, 7295), (727E, 729E), (7287, 72X7), (729E, 72EE), (72E1, 7311), (7321, 7341), (7341, 7361), (7351, 7371), (7371, 7391), (739E, 73EE), (7415, 7435), (7421, 7441), (7457, 7477), (7471, 7491), (74X7, 7507), (7511, 7531), (7565, 7585), (756E, 758E), (7585, 75X5), (75EE, 761E), (7617, 7637), (761E, 763E), (7641, 7661), (76EE, 771E), (771E, 773E), (7737, 7757), (7747, 7767), (774E, 776E), (7795, 77E5), (7817, 7837), (7855, 7875), (7905, 7925), (7921, 7941), (795E, 797E), (798E, 79XE), (79X1, 7X01), (7X15, 7X35), (7X27, 7X47), (7XE1, 7E11), (7E07, 7E27), (7E15, 7E35), (7E65, 7E85), (7EX7, 8007), (802E, 804E), (8045, 8065), (8047, 8067), (804E, 806E), (806E, 808E), (8135, 8155), (8155, 8175), (8175, 8195), (8197, 81E7), (8231, 8251), (8235, 8255), (8251, 8271), (8271, 8291), (833E, 835E), (8357, 8377), (83XE, 840E), (8407, 8427), (841E, 843E), (8431, 8451), (8467, 8487), (849E, 84EE), (84E1, 8511), (84E5, 8515), (8571, 8591), (8575, 8595), (860E, 862E), (8621, 8641), (8625, 8645), (862E, 864E), (864E, 866E), (865E, 867E), (8691, 86E1), (86E7, 8717), (870E, 872E), (872E, 874E), (8777, 8797), (8865, 8885), (8885, 88X5), (888E, 88XE), (88XE, 890E), (8915, 8935), (8925, 8945), (8961, 8981), (8981, 89X1), (89EE, 8X1E), (8X21, 8X41), (8X37, 8X57), (8X71, 8X91), (8X7E, 8X9E), (8X95, 8XE5), (8E17, 8E37), (8E2E, 8E4E), (8E55, 8E75), (8E9E, 8EEE), (9007, 9027), (9027, 9047), (9057, 9077), (9077, 9097), (907E, 909E), (9135, 9155), (9145, 9165), (915E, 917E), (9165, 9185), (9231, 9251), (9241, 9261), (9261, 9281), (9341, 9361), (9367, 9387), (936E, 938E), (9375, 9395), (9387, 93X7), (939E, 93EE), (9455, 9475), (9485, 94X5), (94X1, 9501), (9557, 9577), (960E, 962E), (9631, 9651), (9695, 96E5), (973E, 975E), (9761, 9781), (9775, 9795), (984E, 986E), (986E, 988E), (9927, 9947), (9947, 9967), (9997, 99E7), (99E7, 9X17), (9X31, 9X51), (9X51, 9X71), (9X85, 9XX5), (9X8E, 9XXE), (9E1E, 9E3E), (9E27, 9E47), (9E3E, 9E5E), (9E5E, 9E7E), (X011, X031), (X031, X051), (X03E, X05E), (X067, X087), (X081, X0X1), (X095, X0E5), (X0E7, X117), (X117, X137), (X137, X157), (X205, X225), (X227, X247), (X275, X295), (X277, X297), (X297, X2E7), (X301, X321), (X321, X341), (X35E, X37E), (X397, X3E7), (X3X7, X407), (X485, X4X5), (X4E1, X511), (X581, X5X1), (X59E, X5EE), (X647, X667), (X671, X691), (X675, X695), (X6EE, X71E), (X701, X721), (X735, X755), (X7E7, X817), (X801, X821), (X821, X841), (X851, X871), (X871, X891), (X915, X935), (X951, X971), (X9EE, XX1E), (XX25, XX45), (XX45, XX65), (E005, E025), (E0XE, E10E), (E105, E125), (E127, E147), (E147, E167), (E151, E171), (E181, E1X1), (E211, E231), (E26E, E28E), (E28E, E2XE), (E2X1, E301), (E2X7, E307), (E2E5, E315), (E307, E327), (E331, E351), (E337, E357), (E357, E377), (E395, E3E5), (E39E, E3EE), (E4EE, E51E), (E50E, E52E), (E521, E541), (E541, E561), (E577, E597), (E597, E5E7), (E5E7, E617), (E615, E635), (E635, E655), (E655, E675), (E665, E685), (E685, E6X5), (E6X5, E705), (E707, E727), (E727, E747), (E761, E781), (E78E, E7XE), (E7E1, E811), (E815, E835), (E917, E937), (E925, E945), (E955, E975), (E987, E9X7), (EX2E, EX4E), (EX51, EX71), (EE3E, EE5E), (EE85, EEX5), (EE97, EEE7), (EEX7, 10007), ...
(p, p+2, p+6) prime triplets: (5, 7, E), (E, 11, 15), (15, 17, 1E), (35, 37, 3E), (85, 87, 8E), (8E, 91, 95), (13E, 141, 145), (16E, 171, 175), (21E, 221, 225), (24E, 251, 255), (325, 327, 32E), (455, 457, 45E), (585, 587, 58E), (5E5, 5E7, 5EE), (615, 617, 61E), (76E, 771, 775), (8X5, 8X7, 8XE), (905, 907, 90E), (9XE, 9E1, 9E5), (X35, X37, X3E), (X3E, X41, X45), (E1E, E21, E25), (10EE, 1101, 1105), (11X5, 11X7, 11XE), (1255, 1257, 125E), (1365, 1367, 136E), (138E, 1391, 1395), (1655, 1657, 165E), (167E, 1681, 1685), (1X6E, 1X71, 1X75), (2005, 2007, 200E), (205E, 2061, 2065), (215E, 2161, 2165), (2325, 2327, 232E), (2395, 2397, 239E), (247E, 2481, 2485), (2745, 2747, 274E), (2825, 2827, 282E), (292E, 2931, 2935), (2X2E, 2X31, 2X35), (2X5E, 2X61, 2X65), (303E, 3041, 3045), (3205, 3207, 320E), (3225, 3227, 322E), (332E, 3331, 3335), (3705, 3707, 370E), (3E4E, 3E51, 3E55), (4685, 4687, 468E), (481E, 4821, 4825), (491E, 4921, 4925), (496E, 4971, 4975), (4E35, 4E37, 4E3E), (5165, 5167, 516E), (555E, 5561, 5565), (5585, 5587, 558E), (5E8E, 5E91, 5E95), (604E, 6051, 6055), (6075, 6077, 607E), (656E, 6571, 6575), (6995, 6997, 699E), (700E, 7011, 7015), (7585, 7587, 758E), (7635, 7637, 763E), (7E0E, 7E11, 7E15), (7E65, 7E67, 7E6E), (8045, 8047, 804E), (8065, 8067, 806E), (8195, 8197, 819E), (8355, 8357, 835E), (856E, 8571, 8575), (9075, 9077, 907E), (912E, 9131, 9135), (9365, 9367, 936E), (936E, 9371, 9375), (944E, 9451, 9455), (9X2E, 9X31, 9X35), (X08E, X091, X095), (X535, X537, X53E), (X68E, X691, X695), (XE3E, XE41, XE45), (E2X5, E2X7, E2XE), (E2XE, E2E1, E2E5), (E69E, E6X1, E6X5), (EX25, EX27, EX2E), ...
(p, p+4, p+6) prime triplets: (7, E, 11), (11, 15, 17), (31, 35, 37), (57, 5E, 61), (81, 85, 87), (87, 8E, 91), (141, 145, 147), (167, 16E, 171), (1E1, 1E5, 1E7), (217, 21E, 221), (321, 325, 327), (431, 435, 437), (587, 58E, 591), (5E1, 5E5, 5E7), (611, 615, 617), (767, 76E, 771), (901, 905, 907), (9X7, 9XE, 9E1), (X07, X0E, X11), (X37, X3E, X41), (E67, E6E, E71), (E91, E95, E97), (1047, 104E, 1051), (10E7, 10EE, 1101), (1101, 1105, 1107), (11X1, 11X5, 11X7), (1257, 125E, 1261), (12X1, 12X5, 12X7), (1461, 1465, 1467), (1677, 167E, 1681), (1697, 169E, 16X1), (1751, 1755, 1757), (19E7, 19EE, 1X01), (1X71, 1X75, 1X77), (2001, 2005, 2007), (2007, 200E, 2011), (2287, 228E, 2291), (24X1, 24X5, 24X7), (2741, 2745, 2747), (2927, 292E, 2931), (3037, 303E, 3041), (3171, 3175, 3177), (3191, 3195, 3197), (3327, 332E, 3331), (3331, 3335, 3337), (33X1, 33X5, 33X7), (3957, 395E, 3961), (3E47, 3E4E, 3E51), (4207, 420E, 4211), (45X1, 45X5, 45X7), (4681, 4685, 4687), (4967, 496E, 4971), (4EX7, 4EXE, 4EE1), (5267, 526E, 5271), (5451, 5455, 5457), (54X1, 54X5, 54X7), (5561, 5565, 5567), (5E37, 5E3E, 5E41), (6071, 6075, 6077), (6521, 6525, 6527), (6X17, 6X1E, 6X21), (6E71, 6E75, 6E77), (7051, 7055, 7057), (71E1, 71E5, 71E7), (7637, 763E, 7641), (7E07, 7E0E, 7E11), (8041, 8045, 8047), (8511, 8515, 8517), (9077, 907E, 9081), (9127, 912E, 9131), (9131, 9135, 9137), (9361, 9365, 9367), (9367, 936E, 9371), (9447, 944E, 9451), (9627, 962E, 9631), (9E57, 9E5E, 9E61), (X087, X08E, X091), (X537, X53E, X541), (X5X7, X5XE, X5E1), (X717, X71E, X721), (X871, X875, X877), (XE41, XE45, XE47), (E147, E14E, E151), (E2X1, E2X5, E2X7), (E2X7, E2XE, E2E1), (E7X7, E7XE, E7E1), (E941, E945, E947), ...
(p, p+6, p+10) (sexy prime triplets): (5, E, 15), (7, 11, 17), (E, 15, 1E), (15, 1E, 25), (27, 31, 37), (35, 3E, 45), (3E, 45, 4E), (51, 57, 61), (57, 61, 67), (81, 87, 91), (85, 8E, 95), (107, 111, 117), (11E, 125, 12E), (16E, 175, 17E), (18E, 195, 19E), (195, 19E, 1X5), (1X7, 1E1, 1E7), (24E, 255, 25E), (267, 271, 277), (3X5, 3XE, 3E5), (40E, 415, 41E), (421, 427, 431), (427, 431, 437), (455, 45E, 465), (45E, 465, 46E), (507, 511, 517), (665, 66E, 675), (68E, 695, 69E), (76E, 775, 77E), (775, 77E, 785), (791, 797, 7X1), (825, 82E, 835), (855, 85E, 865), (8X5, 8XE, 8E5), (8E7, 901, 907), (955, 95E, 965), (9XE, 9E5, 9EE), (X07, X11, X17), (X35, X3E, X45), (X3E, X45, X4E), (E15, E1E, E25), (E1E, E25, E2E), (E61, E67, E71), (1011, 1017, 1021), (1017, 1021, 1027), (1041, 1047, 1051), (10E1, 10E7, 1101), (10E7, 1101, 1107), (1125, 112E, 1135), (1197, 11X1, 11X7), (1297, 12X1, 12X7), (13X1, 13X7, 13E1), (1457, 1461, 1467), (1461, 1467, 1471), (148E, 1495, 149E), (1667, 1671, 1677), (1671, 1677, 1681), (167E, 1685, 168E), (1697, 16X1, 16X7), (1747, 1751, 1757), (1815, 181E, 1825), (1865, 186E, 1875), (1XE1, 1XE7, 1E01), (1XE7, 1E01, 1E07), (2001, 2007, 2011), (205E, 2065, 206E), (2127, 2131, 2137), (21X7, 21E1, 21E7), (231E, 2325, 232E), (2325, 232E, 2335), (2395, 239E, 23X5), (239E, 23X5, 23XE), (247E, 2485, 248E), (26XE, 26E5, 26EE), (2737, 2741, 2747), (27X7, 27E1, 27E7), (2825, 282E, 2835), (2837, 2841, 2847), (292E, 2935, 293E), (2X2E, 2X35, 2X3E), (2X77, 2X81, 2X87), (2E51, 2E57, 2E61), (2E57, 2E61, 2E67), (3095, 309E, 30X5), (3145, 314E, 3155), (314E, 3155, 315E), (3167, 3171, 3177), (3187, 3191, 3197), (3191, 3197, 31X1), (31EE, 3205, 320E), (3271, 3277, 3281), (3321, 3327, 3331), (3327, 3331, 3337), (33X1, 33X7, 33E1), (3435, 343E, 3445), (3617, 3621, 3627), (3755, 375E, 3765), (379E, 37X5, 37XE), (37X5, 37XE, 37E5), (3821, 3827, 3831), (3827, 3831, 3837), (3E75, 3E7E, 3E85), (404E, 4055, 405E), (4207, 4211, 4217), (4425, 442E, 4435), (4475, 447E, 4485), (4635, 463E, 4645), (4677, 4681, 4687), (4815, 481E, 4825), (483E, 4845, 484E), (491E, 4925, 492E), (5057, 5061, 5067), (5085, 508E, 5095), (5261, 5267, 5271), (54X1, 54X7, 54E1), (5527, 5531, 5537), (5585, 558E, 5595), (558E, 5595, 559E), (5E1E, 5E25, 5E2E), (5E8E, 5E95, 5E9E), (6175, 617E, 6185), (61E7, 6201, 6207), (633E, 6345, 634E), (6797, 67X1, 67X7), (6995, 699E, 69X5), (69E5, 69EE, 6X05), (6X11, 6X17, 6X21), (6X17, 6X21, 6X27), (6X75, 6X7E, 6X85), (6X9E, 6XX5, 6XXE), (6E71, 6E77, 6E81), (7005, 700E, 7015), (700E, 7015, 701E), (728E, 7295, 729E), (7311, 7317, 7321), (7341, 7347, 7351), (7395, 739E, 73X5), (739E, 73X5, 73XE), (757E, 7585, 758E), (7607, 7611, 7617), (7665, 766E, 7675), (7757, 7761, 7767), (794E, 7955, 795E), (7955, 795E, 7965), (7E01, 7E07, 7E11), (7E5E, 7E65, 7E6E), (8065, 806E, 8075), (84E5, 84EE, 8505), (8507, 8511, 8517), (8565, 856E, 8575), (856E, 8575, 857E), (8645, 864E, 8655), (864E, 8655, 865E), (8957, 8961, 8967), (8X37, 8X41, 8X47), (8E45, 8E4E, 8E55), (9127, 9131, 9137), (9155, 915E, 9165), (917E, 9185, 918E), (9185, 918E, 9195), (9251, 9257, 9261), (9257, 9261, 9267), (9361, 9367, 9371), (9365, 936E, 9375), (938E, 9395, 939E), (9475, 947E, 9485), (9605, 960E, 9615), (9655, 965E, 9665), (9701, 9707, 9711), (996E, 9975, 997E), (99E1, 99E7, 9X01), (9X25, 9X2E, 9X35), (9X41, 9X47, 9X51), (X035, X03E, X045), (X081, X087, X091), (X13E, X145, X14E), (X145, X14E, X155), (X5X1, X5X7, X5E1), (X657, X661, X667), (X661, X667, X671), (X711, X717, X721), (X7E7, X801, X807), (E147, E151, E157), (E2X1, E2X7, E2E1), (E2X5, E2XE, E2E5), (E315, E31E, E325), (E327, E331, E337), (E331, E337, E341), (E3XE, E3E5, E3EE), (E411, E417, E421), (E771, E777, E781), (E785, E78E, E795), (E931, E937, E941), (E937, E941, E947), ...
(p, p+10, p+20) (dozeny prime triplets): (5, 15, 25), (7, 17, 27), (15, 25, 35), (17, 27, 37), (25, 35, 45), (3E, 4E, 5E), (4E, 5E, 6E), (75, 85, 95), (X7, E7, 107), (E7, 107, 117), (11E, 12E, 13E), (147, 157, 167), (16E, 17E, 18E), (17E, 18E, 19E), (195, 1X5, 1E5), (1X5, 1E5, 205), (291, 2X1, 2E1), (2X1, 2E1, 301), (2XE, 2EE, 30E), (32E, 33E, 34E), (33E, 34E, 35E), (427, 437, 447), (437, 447, 457), (507, 517, 527), (565, 575, 585), (655, 665, 675), (6E1, 701, 711), (701, 711, 721), (727, 737, 747), (8X5, 8E5, 905), (8X7, 8E7, 907), (9XE, 9EE, X0E), (X07, X17, X27), (X17, X27, X37), (X3E, X4E, X5E), (X4E, X5E, X6E), (X9E, XXE, XEE), (E11, E21, E31), (E95, EX5, EE5), (EX5, EE5, 1005), (1041, 1051, 1061), (1105, 1115, 1125), (1115, 1125, 1135), (1197, 11X7, 11E7), (125E, 126E, 127E), (1295, 12X5, 12E5), (1391, 13X1, 13E1), (147E, 148E, 149E), (1615, 1625, 1635), (1647, 1657, 1667), (1657, 1667, 1677), (167E, 168E, 169E), (1697, 16X7, 16E7), (16E5, 1705, 1715), (1735, 1745, 1755), (189E, 18XE, 18EE), (1911, 1921, 1931), (1XE7, 1E07, 1E17), (1E07, 1E17, 1E27), (1E2E, 1E3E, 1E4E), (2051, 2061, 2071), (2077, 2087, 2097), (2087, 2097, 20X7), (2317, 2327, 2337), (2327, 2337, 2347), (2385, 2395, 23X5), (2535, 2545, 2555), (2537, 2547, 2557), (2545, 2555, 2565), (256E, 257E, 258E), (2665, 2675, 2685), (2827, 2837, 2847), (285E, 286E, 287E), (2931, 2941, 2951), (2X1E, 2X2E, 2X3E), (2X77, 2X87, 2X97), (2X87, 2X97, 2XX7), (3167, 3177, 3187), (3177, 3187, 3197), (322E, 323E, 324E), (3271, 3281, 3291), (3457, 3467, 3477), (3481, 3491, 34X1), (3617, 3627, 3637), (3635, 3645, 3655), (377E, 378E, 379E), (378E, 379E, 37XE), (3X47, 3X57, 3X67), (3E0E, 3E1E, 3E2E), (402E, 403E, 404E), (403E, 404E, 405E), (4281, 4291, 42X1), (4291, 42X1, 42E1), (4425, 4435, 4445), (4441, 4451, 4461), (4451, 4461, 4471), (4635, 4645, 4655), (4645, 4655, 4665), (4805, 4815, 4825), (4887, 4897, 48X7), (4901, 4911, 4921), (490E, 491E, 492E), (4X57, 4X67, 4X77), (5025, 5035, 5045), (5057, 5067, 5077), (511E, 512E, 513E), (5145, 5155, 5165), (558E, 559E, 55XE), (5697, 56X7, 56E7), (5857, 5867, 5877), (59XE, 59EE, 5X0E), (59EE, 5X0E, 5X1E), (5X4E, 5X5E, 5X6E), (5X75, 5X85, 5X95), (5E1E, 5E2E, 5E3E), (5E55, 5E65, 5E75), (6165, 6175, 6185), (6197, 61X7, 61E7), (61X7, 61E7, 6207), (6487, 6497, 64X7), (6497, 64X7, 64E7), (6551, 6561, 6571), (6647, 6657, 6667), (671E, 672E, 673E), (6911, 6921, 6931), (6947, 6957, 6967), (6995, 69X5, 69E5), (69X5, 69E5, 6X05), (70XE, 70EE, 710E), (70EE, 710E, 711E), (7131, 7141, 7151), (7221, 7231, 7241), (727E, 728E, 729E), (7341, 7351, 7361), (7351, 7361, 7371), (739E, 73XE, 73EE), (7511, 7521, 7531), (756E, 757E, 758E), (7737, 7747, 7757), (7747, 7757, 7767), (7795, 77X5, 77E5), (7XE1, 7E01, 7E11), (7E15, 7E25, 7E35), (8407, 8417, 8427), (8431, 8441, 8451), (84E5, 8505, 8515), (864E, 865E, 866E), (865E, 866E, 867E), (872E, 873E, 874E), (8915, 8925, 8935), (8925, 8935, 8945), (8X37, 8X47, 8X57), (8X71, 8X81, 8X91), (8E17, 8E27, 8E37), (9135, 9145, 9155), (9145, 9155, 9165), (9231, 9241, 9251), (9241, 9251, 9261), (973E, 974E, 975E), (9775, 9785, 9795), (9X31, 9X41, 9X51), (X081, X091, X0X1), (X0E7, X107, X117), (X275, X285, X295), (X321, X331, X341), (X397, X3X7, X3E7), (X3X7, X3E7, X407), (X59E, X5XE, X5EE), (X647, X657, X667), (X701, X711, X721), (X735, X745, X755), (X7E7, X807, X817), (X9EE, XX0E, XX1E), (E147, E157, E167), (E26E, E27E, E28E), (E2X1, E2E1, E301), (E331, E341, E351), (E39E, E3XE, E3EE), (E4EE, E50E, E51E), (E50E, E51E, E52E), (E655, E665, E675), (E665, E675, E685), (E761, E771, E781), (E7E1, E801, E811), (EX51, EX61, EX71), (EE97, EEX7, EEE7), (EEX7, EEE7, 10007), ...
(p, p+2, p+6, p+8) 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), (101XE, 101E1, 101E5, 101E7), (10X7E, 10X81, 10X85, 10X87), (12785, 12787, 1278E, 12791), (16435, 16437, 1643E, 16441), (181E5, 181E7, 181EE, 18201), (21405, 21407, 2140E, 21411), (25865, 25867, 2586E, 25871), (2802E, 28031, 28035, 28037), (30545, 30547, 3054E, 30551), (32X8E, 32X91, 32X95, 32X97), (3426E, 34271, 34275, 34277), (35965, 35967, 3596E, 35971), (38865, 38867, 3886E, 38871), (3X14E, 3X151, 3X155, 3X157), (3XX95, 3XX97, 3XX9E, 3XXX1), (3EX55, 3EX57, 3EX5E, 3EX61), (4348E, 43491, 43495, 43497), (48755, 48757, 4875E, 48761), (4944E, 49451, 49455, 49457), (4X61E, 4X621, 4X625, 4X627), (53695, 53697, 5369E, 536X1), (5752E, 57531, 57535, 57537), (5904E, 59051, 59055, 59057), (5X875, 5X877, 5X87E, 5X881), (66485, 66487, 6648E, 66491), (6E515, 6E517, 6E51E, 6E521), (7701E, 77021, 77025, 77027), (7EX85, 7EX87, 7EX8E, 7EX91), (80675, 80677, 8067E, 80681), (83075, 83077, 8307E, 83081), (906EE, 90701, 90705, 90707), (94925, 94927, 9492E, 94931), (9532E, 95331, 95335, 95337), (9872E, 98731, 98735, 98737), (98965, 98967, 9896E, 98971), (X5955, X5957, X595E, X5961), (XX4X5, XX4X7, XX4XE, XX4E1), (E6XE5, E6XE7, E6XEE, E6E01), (E9045, E9047, E904E, E9051), (EE355, EE357, EE35E, EE361), (EE61E, EE621, EE625, EE627), ...
(p, p+4, p+6, p+X) prime quadruplets: (7, E, 11, 15), (11, 15, 17, 1E), (31, 35, 37, 3E), (81, 85, 87, 8E), (87, 8E, 91, 95), (167, 16E, 171, 175), (217, 21E, 221, 225), (321, 325, 327, 32E), (5E1, 5E5, 5E7, 5EE), (611, 615, 617, 61E), (767, 76E, 771, 775), (901, 905, 907, 90E), (9X7, 9XE, 9E1, 9E5), (X37, X3E, X41, X45), (10E7, 10EE, 1101, 1105), (11X1, 11X5, 11X7, 11XE), (1677, 167E, 1681, 1685), (2001, 2005, 2007, 200E), (2741, 2745, 2747, 274E), (2927, 292E, 2931, 2935), (3037, 303E, 3041, 3045), (3327, 332E, 3331, 3335), (3E47, 3E4E, 3E51, 3E55), (4681, 4685, 4687, 468E), (4967, 496E, 4971, 4975), (6071, 6075, 6077, 607E), (7E07, 7E0E, 7E11, 7E15), (8041, 8045, 8047, 804E), (9127, 912E, 9131, 9135), (9361, 9365, 9367, 936E), (9367, 936E, 9371, 9375), (9447, 944E, 9451, 9455), (X087, X08E, X091, X095), (E2X1, E2X5, E2X7, E2XE), (E2X7, E2XE, E2E1, E2E5), (10007, 1000E, 10011, 10015), (101E1, 101E5, 101E7, 101EE), (10401, 10405, 10407, 1040E), (10X81, 10X85, 10X87, 10X8E), (11411, 11415, 11417, 1141E), (11771, 11775, 11777, 1177E), (11807, 1180E, 11811, 11815), (11E47, 11E4E, 11E51, 11E55), (14071, 14075, 14077, 1407E), (14961, 14965, 14967, 1496E), (161E7, 161EE, 16201, 16205), (17367, 1736E, 17371, 17375), (17551, 17555, 17557, 1755E), (18687, 1868E, 18691, 18695), (18X07, 18X0E, 18X11, 18X15), (19E97, 19E9E, 19EX1, 19EX5), (1E487, 1E48E, 1E491, 1E495), (20391, 20395, 20397, 2039E), (206X1, 206X5, 206X7, 206XE), (21401, 21405, 21407, 2140E), (21407, 2140E, 21411, 21415), (21747, 2174E, 21751, 21755), (22621, 22625, 22627, 2262E), (25761, 25765, 25767, 2576E), (27651, 27655, 27657, 2765E), (28031, 28035, 28037, 2803E), (28371, 28375, 28377, 2837E), (2E301, 2E305, 2E307, 2E30E), (3X147, 3X14E, 3X151, 3X155), (3X831, 3X835, 3X837, 3X83E), (3XX71, 3XX75, 3XX77, 3XX7E), (3E557, 3E55E, 3E561, 3E565), (41E27, 41E2E, 41E31, 41E35), (43381, 43385, 43387, 4338E), (43487, 4348E, 43491, 43495), (44391, 44395, 44397, 4439E), (44477, 4447E, 44481, 44485), (44E11, 44E15, 44E17, 44E1E), (45561, 45565, 45567, 4556E), (458X1, 458X5, 458X7, 458XE), (46127, 4612E, 46131, 46135), (46181, 46185, 46187, 4618E), (47037, 4703E, 47041, 47045), (48171, 48175, 48177, 4817E), (48X91, 48X95, 48X97, 48X9E), (4X617, 4X61E, 4X621, 4X625), (4X907, 4X90E, 4X911, 4X915), (53011, 53015, 53017, 5301E), (53E97, 53E9E, 53EX1, 53EX5), (54231, 54235, 54237, 5423E), (54627, 5462E, 54631, 54635), (554X1, 554X5, 554X7, 554XE), (55587, 5558E, 55591, 55595), (555X7, 555XE, 555E1, 555E5), (56101, 56105, 56107, 5610E), (57081, 57085, 57087, 5708E), (577E7, 577EE, 57801, 57805), (58981, 58985, 58987, 5898E), (59EX1, 59EX5, 59EX7, 59EXE), (5E727, 5E72E, 5E731, 5E735), (61067, 6106E, 61071, 61075), (64837, 6483E, 64841, 64845), (65X77, 65X7E, 65X81, 65X85), (66E21, 66E25, 66E27, 66E2E), (6E517, 6E51E, 6E521, 6E525), (71897, 7189E, 718X1, 718X5), (73031, 73035, 73037, 7303E), (73631, 73635, 73637, 7363E), (74541, 74545, 74547, 7454E), (746E7, 746EE, 74701, 74705), (75E01, 75E05, 75E07, 75E0E), (7X731, 7X735, 7X737, 7X73E), (7XX97, 7XX9E, 7XXX1, 7XXX5), (7E321, 7E325, 7E327, 7E32E), (7EX87, 7EX8E, 7EX91, 7EX95), (80677, 8067E, 80681, 80685), (82E97, 82E9E, 82EX1, 82EX5), (837E1, 837E5, 837E7, 837EE), (84691, 84695, 84697, 8469E), (86E37, 86E3E, 86E41, 86E45), (88177, 8817E, 88181, 88185), (90357, 9035E, 90361, 90365), (92351, 92355, 92357, 9235E), (93017, 9301E, 93021, 93025), (94051, 94055, 94057, 9405E), (94X57, 94X5E, 94X61, 94X65), (95331, 95335, 95337, 9533E), (954X7, 954XE, 954E1, 954E5), (97087, 9708E, 97091, 97095), (98967, 9896E, 98971, 98975), (993E7, 993EE, 99401, 99405), (99X31, 99X35, 99X37, 99X3E), (9XX61, 9XX65, 9XX67, 9XX6E), (X3987, X398E, X3991, X3995), (X6251, X6255, X6257, X625E), (X7211, X7215, X7217, X721E), (X7X01, X7X05, X7X07, X7X0E), (X8381, X8385, X8387, X838E), (XX371, XX375, XX377, XX37E), (XX401, XX405, XX407, XX40E), (XX4X7, XX4XE, XX4E1, XX4E5), (XE311, XE315, XE317, XE31E), (E13X7, E13XE, E13E1, E13E5), (E3297, E329E, E32X1, E32X5), (E3637, E363E, E3641, E3645), (E3821, E3825, E3827, E382E), (E3EE7, E3EEE, E4001, E4005), (E4547, E454E, E4551, E4555), (E5867, E586E, E5871, E5875), (EE357, EE35E, EE361, EE365), ...
(p, p+6, p+10, p+16) (sexy prime quadruplets): (5, E, 15, 1E), (E, 15, 1E, 25), (35, 3E, 45, 4E), (51, 57, 61, 67), (18E, 195, 19E, 1X5), (421, 427, 431, 437), (455, 45E, 465, 46E), (76E, 775, 77E, 785), (X35, X3E, X45, X4E), (E15, E1E, E25, E2E), (1011, 1017, 1021, 1027), (10E1, 10E7, 1101, 1107), (1457, 1461, 1467, 1471), (1667, 1671, 1677, 1681), (1XE1, 1XE7, 1E01, 1E07), (231E, 2325, 232E, 2335), (2395, 239E, 23X5, 23XE), (2E51, 2E57, 2E61, 2E67), (3145, 314E, 3155, 315E), (3187, 3191, 3197, 31X1), (3321, 3327, 3331, 3337), (379E, 37X5, 37XE, 37E5), (3821, 3827, 3831, 3837), (5585, 558E, 5595, 559E), (6X11, 6X17, 6X21, 6X27), (7005, 700E, 7015, 701E), (7395, 739E, 73X5, 73XE), (794E, 7955, 795E, 7965), (8565, 856E, 8575, 857E), (8645, 864E, 8655, 865E), (917E, 9185, 918E, 9195), (9251, 9257, 9261, 9267), (X13E, X145, X14E, X155), (X657, X661, X667, X671), (E327, E331, E337, E341), (E931, E937, E941, E947), (10521, 10527, 10531, 10537), (115E5, 115EE, 11605, 1160E), (11E37, 11E41, 11E47, 11E51), (1318E, 13195, 1319E, 131X5), (13535, 1353E, 13545, 1354E), (1355E, 13565, 1356E, 13575), (154E7, 15501, 15507, 15511), (15887, 15891, 15897, 158X1), (1666E, 16675, 1667E, 16685), (198X1, 198X7, 198E1, 198E7), (20331, 20337, 20341, 20347), (20647, 20651, 20657, 20661), (2192E, 21935, 2193E, 21945), (25331, 25337, 25341, 25347), (27037, 27041, 27047, 27051), (27E41, 27E47, 27E51, 27E57), (28555, 2855E, 28565, 2856E), (2EEE5, 2EEEE, 30005, 3000E), (30X37, 30X41, 30X47, 30X51), (32031, 32037, 32041, 32047), (33X4E, 33X55, 33X5E, 33X65), (34607, 34611, 34617, 34621), (35351, 35357, 35361, 35367), (37855, 3785E, 37865, 3786E), (38X67, 38X71, 38X77, 38X81), (3971E, 39725, 3972E, 39735), (3X22E, 3X235, 3X23E, 3X245), (3X9X7, 3X9E1, 3X9E7, 3XX01), (3EXX5, 3EXXE, 3EXE5, 3EXEE), (40347, 40351, 40357, 40361), (40X3E, 40X45, 40X4E, 40X55), (427E1, 427E7, 42801, 42807), (43481, 43487, 43491, 43497), (43691, 43697, 436X1, 436X7), (43885, 4388E, 43895, 4389E), (449E7, 44X01, 44X07, 44X11), (46785, 4678E, 46795, 4679E), (47165, 4716E, 47175, 4717E), (47607, 47611, 47617, 47621), (5021E, 50225, 5022E, 50235), (5071E, 50725, 5072E, 50735), (50E81, 50E87, 50E91, 50E97), (51141, 51147, 51151, 51157), (52X47, 52X51, 52X57, 52X61), (54235, 5423E, 54245, 5424E), (5518E, 55195, 5519E, 551X5), (56E9E, 56EX5, 56EXE, 56EE5), (59227, 59231, 59237, 59241), (5991E, 59925, 5992E, 59935), (59XE7, 59E01, 59E07, 59E11), (5X035, 5X03E, 5X045, 5X04E), (5X745, 5X74E, 5X755, 5X75E), (5EE17, 5EE21, 5EE27, 5EE31), (60491, 60497, 604X1, 604X7), (61241, 61247, 61251, 61257), (63761, 63767, 63771, 63777), (68737, 68741, 68747, 68751), (69771, 69777, 69781, 69787), (6E581, 6E587, 6E591, 6E597), (74611, 74617, 74621, 74627), (751X5, 751XE, 751E5, 751EE), (79X8E, 79X95, 79X9E, 79XX5), (7X995, 7X99E, 7X9X5, 7X9XE), (7EX85, 7EX8E, 7EX95, 7EX9E), (83945, 8394E, 83955, 8395E), (84131, 84137, 84141, 84147), (88075, 8807E, 88085, 8808E), (8E10E, 8E115, 8E11E, 8E125), (90187, 90191, 90197, 901X1), (90515, 9051E, 90525, 9052E), (92665, 9266E, 92675, 9267E), (92955, 9295E, 92965, 9296E), (97077, 97081, 97087, 97091), (9E285, 9E28E, 9E295, 9E29E), (9E3X7, 9E3E1, 9E3E7, 9E401), (X412E, X4135, X413E, X4145), (X6297, X62X1, X62X7, X62E1), (X879E, X87X5, X87XE, X87E5), (X9235, X923E, X9245, X924E), (X9647, X9651, X9657, X9661), (XE19E, XE1X5, XE1XE, XE1E5), (E0521, E0527, E0531, E0537), (E1291, E1297, E12X1, E12X7), (E1661, E1667, E1671, E1677), (E8E15, E8E1E, E8E25, E8E2E), (EX265, EX26E, EX275, EX27E), ...
(p, p+10, p+20, p+30) (dozeny prime quadruplets): (5, 15, 25, 35), (7, 17, 27, 37), (15, 25, 35, 45), (3E, 4E, 5E, 6E), (X7, E7, 107, 117), (16E, 17E, 18E, 19E), (195, 1X5, 1E5, 205), (291, 2X1, 2E1, 301), (32E, 33E, 34E, 35E), (427, 437, 447, 457), (6E1, 701, 711, 721), (X07, X17, X27, X37), (X3E, X4E, X5E, X6E), (E95, EX5, EE5, 1005), (1105, 1115, 1125, 1135), (1647, 1657, 1667, 1677), (1XE7, 1E07, 1E17, 1E27), (2077, 2087, 2097, 20X7), (2317, 2327, 2337, 2347), (2535, 2545, 2555, 2565), (2X77, 2X87, 2X97, 2XX7), (3167, 3177, 3187, 3197), (377E, 378E, 379E, 37XE), (402E, 403E, 404E, 405E), (4281, 4291, 42X1, 42E1), (4441, 4451, 4461, 4471), (4635, 4645, 4655, 4665), (59XE, 59EE, 5X0E, 5X1E), (6197, 61X7, 61E7, 6207), (6487, 6497, 64X7, 64E7), (6995, 69X5, 69E5, 6X05), (70XE, 70EE, 710E, 711E), (7341, 7351, 7361, 7371), (7737, 7747, 7757, 7767), (864E, 865E, 866E, 867E), (8915, 8925, 8935, 8945), (9135, 9145, 9155, 9165), (9231, 9241, 9251, 9261), (X397, X3X7, X3E7, X407), (E4EE, E50E, E51E, E52E), (E655, E665, E675, E685), (EE97, EEX7, EEE7, 10007), (105X1, 105E1, 10601, 10611), (108E7, 10907, 10917, 10927), (10X5E, 10X6E, 10X7E, 10X8E), (113X1, 113E1, 11401, 11411), (11E41, 11E51, 11E61, 11E71), (13081, 13091, 130X1, 130E1), (1353E, 1354E, 1355E, 1356E), (1409E, 140XE, 140EE, 1410E), (14307, 14317, 14327, 14337), (1467E, 1468E, 1469E, 146XE), (1500E, 1501E, 1502E, 1503E), (15X01, 15X11, 15X21, 15X31), (16957, 16967, 16977, 16987), (17521, 17531, 17541, 17551), (17917, 17927, 17937, 17947), (183X5, 183E5, 18405, 18415), (19881, 19891, 198X1, 198E1), (1E247, 1E257, 1E267, 1E277), (1E537, 1E547, 1E557, 1E567), (1E9E5, 1EX05, 1EX15, 1EX25), (20491, 204X1, 204E1, 20501), (21581, 21591, 215X1, 215E1), (21741, 21751, 21761, 21771), (2190E, 2191E, 2192E, 2193E), (24327, 24337, 24347, 24357), (25925, 25935, 25945, 25955), (26485, 26495, 264X5, 264E5), (265E5, 26605, 26615, 26625), (26871, 26881, 26891, 268X1), (2906E, 2907E, 2908E, 2909E), (2993E, 2994E, 2995E, 2996E), (2X311, 2X321, 2X331, 2X341), (2EX3E, 2EX4E, 2EX5E, 2EX6E), (35331, 35341, 35351, 35361), (37915, 37925, 37935, 37945), (37E67, 37E77, 37E87, 37E97), (38E5E, 38E6E, 38E7E, 38E8E), (3929E, 392XE, 392EE, 3930E), (3E375, 3E385, 3E395, 3E3X5), (4019E, 401XE, 401EE, 4020E), (43E71, 43E81, 43E91, 43EX1), (4489E, 448XE, 448EE, 4490E), (45691, 456X1, 456E1, 45701), (45755, 45765, 45775, 45785), (4875E, 4876E, 4877E, 4878E), (4X3XE, 4X3EE, 4X40E, 4X41E), (4X885, 4X895, 4X8X5, 4X8E5), (4E1X1, 4E1E1, 4E201, 4E211), (501EE, 5020E, 5021E, 5022E), (50225, 50235, 50245, 50255), (50X8E, 50X9E, 50XXE, 50XEE), (51881, 51891, 518X1, 518E1), (52971, 52981, 52991, 529X1), (53667, 53677, 53687, 53697), (54635, 54645, 54655, 54665), (554XE, 554EE, 5550E, 5551E), (56EX5, 56EE5, 57005, 57015), (57051, 57061, 57071, 57081), (58617, 58627, 58637, 58647), (5936E, 5937E, 5938E, 5939E), (59597, 595X7, 595E7, 59607), (6055E, 6056E, 6057E, 6058E), (623E1, 62401, 62411, 62421), (6E045, 6E055, 6E065, 6E075), (73841, 73851, 73861, 73871), (749X7, 749E7, 74X07, 74X17), (75337, 75347, 75357, 75367), (76031, 76041, 76051, 76061), (761E1, 76201, 76211, 76221), (764X1, 764E1, 76501, 76511), (76E87, 76E97, 76EX7, 76EE7), (78E57, 78E67, 78E77, 78E87), (79705, 79715, 79725, 79735), (7X99E, 7X9XE, 7X9EE, 7XX0E), (83311, 83321, 83331, 83341), (83395, 833X5, 833E5, 83405), (845X7, 845E7, 84607, 84617), (85155, 85165, 85175, 85185), (87641, 87651, 87661, 87671), (87965, 87975, 87985, 87995), (8X227, 8X237, 8X247, 8X257), (8E947, 8E957, 8E967, 8E977), (904E5, 90505, 90515, 90525), (9421E, 9422E, 9423E, 9424E), (94787, 94797, 947X7, 947E7), (96257, 96267, 96277, 96287), (98945, 98955, 98965, 98975), (99577, 99587, 99597, 995X7), (9E3E1, 9E401, 9E411, 9E421), (X481E, X482E, X483E, X484E), (X7E07, X7E17, X7E27, X7E37), (X856E, X857E, X858E, X859E), (X9215, X9225, X9235, X9245), (X98E1, X9901, X9911, X9921), (XX935, XX945, XX955, XX965), (E0E3E, E0E4E, E0E5E, E0E6E), (EX26E, EX27E, EX28E, EX29E), ...
(p, p+2, p+6, p+8, p+10) prime quintuplets: (5, 7, E, 11, 15), (E, 11, 15, 17, 1E), (85, 87, 8E, 91, 95), (X35, X37, X3E, X41, X45), (9365, 9367, 936E, 9371, 9375), (E2X5, E2X7, E2XE, E2E1, E2E5), (101XE, 101E1, 101E5, 101E7, 101EE), (10X7E, 10X81, 10X85, 10X87, 10X8E), (21405, 21407, 2140E, 21411, 21415), (2802E, 28031, 28035, 28037, 2803E), (6E515, 6E517, 6E51E, 6E521, 6E525), (7EX85, 7EX87, 7EX8E, 7EX91, 7EX95), (80675, 80677, 8067E, 80681, 80685), (9532E, 95331, 95335, 95337, 9533E), (98965, 98967, 9896E, 98971, 98975), (XX4X5, XX4X7, XX4XE, XX4E1, XX4E5), (EE355, EE357, EE35E, EE361, EE365), (10E68E, 10E691, 10E695, 10E697, 10E69E), (1388X5, 1388X7, 1388XE, 1388E1, 1388E5), (149465, 149467, 14946E, 149471, 149475), (15504E, 155051, 155055, 155057, 15505E), (17221E, 172221, 172225, 172227, 17222E), (1X5235, 1X5237, 1X523E, 1X5241, 1X5245), (210295, 210297, 21029E, 2102X1, 2102X5), (21X535, 21X537, 21X53E, 21X541, 21X545), (266705, 266707, 26670E, 266711, 266715), (26693E, 266941, 266945, 266947, 26694E), (27X6XE, 27X6E1, 27X6E5, 27X6E7, 27X6EE), (31067E, 310681, 310685, 310687, 31068E), (32463E, 324641, 324645, 324647, 32464E), (3401E5, 3401E7, 3401EE, 340201, 340205), (3545EE, 354601, 354605, 354607, 35460E), (362E4E, 362E51, 362E55, 362E57, 362E5E), (3X2865, 3X2867, 3X286E, 3X2871, 3X2875), (4079XE, 4079E1, 4079E5, 4079E7, 4079EE), (413885, 413887, 41388E, 413891, 413895), (433875, 433877, 43387E, 433881, 433885), (436565, 436567, 43656E, 436571, 436575), (447625, 447627, 44762E, 447631, 447635), (48666E, 486671, 486675, 486677, 48667E), (4871X5, 4871X7, 4871XE, 4871E1, 4871E5), (4X489E, 4X48X1, 4X48X5, 4X48X7, 4X48XE), (501335, 501337, 50133E, 501341, 501345), (547795, 547797, 54779E, 5477X1, 5477X5), (551E75, 551E77, 551E7E, 551E81, 551E85), (556415, 556417, 55641E, 556421, 556425), (55EE25, 55EE27, 55EE2E, 55EE31, 55EE35), (5X5875, 5X5877, 5X587E, 5X5881, 5X5885), (63X745, 63X747, 63X74E, 63X751, 63X755), (65E115, 65E117, 65E11E, 65E121, 65E125), (78596E, 785971, 785975, 785977, 78597E), (78X285, 78X287, 78X28E, 78X291, 78X295), (79896E, 798971, 798975, 798977, 79897E), (7X2EE5, 7X2EE7, 7X2EEE, 7X3001, 7X3005), (7X5X3E, 7X5X41, 7X5X45, 7X5X47, 7X5X4E), (80998E, 809991, 809995, 809997, 80999E), (87022E, 870231, 870235, 870237, 87023E), (8X3535, 8X3537, 8X353E, 8X3541, 8X3545), (8E378E, 8E3791, 8E3795, 8E3797, 8E379E), (94E92E, 94E931, 94E935, 94E937, 94E93E), (98783E, 987841, 987845, 987847, 98784E), (X06885, X06887, X0688E, X06891, X06895), (X0E4E5, X0E4E7, X0E4EE, X0E501, X0E505), (X37E95, X37E97, X37E9E, X37EX1, X37EX5), (X5744E, X57451, X57455, X57457, X5745E), (XE7025, XE7027, XE702E, XE7031, XE7035), (E1098E, E10991, E10995, E10997, E1099E), (E13735, E13737, E1373E, E13741, E13745), (E4161E, E41621, E41625, E41627, E4162E), (E4E58E, E4E591, E4E595, E4E597, E4E59E), (E4E805, E4E807, E4E80E, E4E811, E4E815), (E535X5, E535X7, E535XE, E535E1, E535E5), ...
(p, p+4, p+6, p+X, p+10) prime quintuplets: (7, E, 11, 15, 17), (81, 85, 87, 8E, 91), (10E7, 10EE, 1101, 1105, 1107), (2001, 2005, 2007, 200E, 2011), (3327, 332E, 3331, 3335, 3337), (9127, 912E, 9131, 9135, 9137), (9361, 9365, 9367, 936E, 9371), (E2X1, E2X5, E2X7, E2XE, E2E1), (21401, 21405, 21407, 2140E, 21411), (3X147, 3X14E, 3X151, 3X155, 3X157), (43487, 4348E, 43491, 43495, 43497), (4X617, 4X61E, 4X621, 4X625, 4X627), (105281, 105285, 105287, 10528E, 105291), (10X3E1, 10X3E5, 10X3E7, 10X3EE, 10X401), (1138E1, 1138E5, 1138E7, 1138EE, 113901), (118941, 118945, 118947, 11894E, 118951), (145367, 14536E, 145371, 145375, 145377), (151007, 15100E, 151011, 151015, 151017), (1611X7, 1611XE, 1611E1, 1611E5, 1611E7), (1750E1, 1750E5, 1750E7, 1750EE, 175101), (182607, 18260E, 182611, 182615, 182617), (1872E1, 1872E5, 1872E7, 1872EE, 187301), (1X4247, 1X424E, 1X4251, 1X4255, 1X4257), (1X8051, 1X8055, 1X8057, 1X805E, 1X8061), (262761, 262765, 262767, 26276E, 262771), (2817E7, 2817EE, 281801, 281805, 281807), (2E6171, 2E6175, 2E6177, 2E617E, 2E6181), (338831, 338835, 338837, 33883E, 338841), (353267, 35326E, 353271, 353275, 353277), (3X32E7, 3X32EE, 3X3301, 3X3305, 3X3307), (3E2017, 3E201E, 3E2021, 3E2025, 3E2027), (4137X1, 4137X5, 4137X7, 4137XE, 4137E1), (423E17, 423E1E, 423E21, 423E25, 423E27), (436247, 43624E, 436251, 436255, 436257), (447621, 447625, 447627, 44762E, 447631), (45E5X1, 45E5X5, 45E5X7, 45E5XE, 45E5E1), (473797, 47379E, 4737X1, 4737X5, 4737X7), (478907, 47890E, 478911, 478915, 478917), (483901, 483905, 483907, 48390E, 483911), (490231, 490235, 490237, 49023E, 490241), (4E4027, 4E402E, 4E4031, 4E4035, 4E4037), (51EE17, 51EE1E, 51EE21, 51EE25, 51EE27), (53X647, 53X64E, 53X651, 53X655, 53X657), (595801, 595805, 595807, 59580E, 595811), (599471, 599475, 599477, 59947E, 599481), (6170E1, 6170E5, 6170E7, 6170EE, 617101), (63XX07, 63XX0E, 63XX11, 63XX15, 63XX17), (6474E7, 6474EE, 647501, 647505, 647507), (65E111, 65E115, 65E117, 65E11E, 65E121), (6625E1, 6625E5, 6625E7, 6625EE, 662601), (743281, 743285, 743287, 74328E, 743291), (747377, 74737E, 747381, 747385, 747387), (77X157, 77X15E, 77X161, 77X165, 77X167), (781581, 781585, 781587, 78158E, 781591), (7X2EE1, 7X2EE5, 7X2EE7, 7X2EEE, 7X3001), (806907, 80690E, 806911, 806915, 806917), (812X91, 812X95, 812X97, 812X9E, 812XX1), (82X647, 82X64E, 82X651, 82X655, 82X657), (847E81, 847E85, 847E87, 847E8E, 847E91), (88E757, 88E75E, 88E761, 88E765, 88E767), (8X2917, 8X291E, 8X2921, 8X2925, 8X2927), (905091, 905095, 905097, 90509E, 9050X1), (969E31, 969E35, 969E37, 969E3E, 969E41), (9E1707, 9E170E, 9E1711, 9E1715, 9E1717), (9E63E1, 9E63E5, 9E63E7, 9E63EE, 9E6401), (9E6EX1, 9E6EX5, 9E6EX7, 9E6EXE, 9E6EE1), (X230X1, X230X5, X230X7, X230XE, X230E1), (X29617, X2961E, X29621, X29625, X29627), (X30XE7, X30XEE, X30E01, X30E05, X30E07), (X31287, X3128E, X31291, X31295, X31297), (X51857, X5185E, X51861, X51865, X51867), (X8E921, X8E925, X8E927, X8E92E, X8E931), (X95141, X95145, X95147, X9514E, X95151), (E33431, E33435, E33437, E3343E, E33441), (E41617, E4161E, E41621, E41625, E41627), (E4E587, E4E58E, E4E591, E4E595, E4E597), (E76571, E76575, E76577, E7657E, E76581), (E923E1, E923E5, E923E7, E923EE, E92401), (EX4957, EX495E, EX4961, EX4965, EX4967), ...
(p, p+4, p+6, p+X, p+10, p+14) prime sextuplets: (7, E, 11, 15, 17, 1E), (81, 85, 87, 8E, 91, 95), (9361, 9365, 9367, 936E, 9371, 9375), (E2X1, E2X5, E2X7, E2XE, E2E1, E2E5), (21401, 21405, 21407, 2140E, 21411, 21415), (447621, 447625, 447627, 44762E, 447631, 447635), (65E111, 65E115, 65E117, 65E11E, 65E121, 65E125), (7X2EE1, 7X2EE5, 7X2EE7, 7X2EEE, 7X3001, 7X3005), (E41617, E4161E, E41621, E41625, E41627, E4162E), (E4E587, E4E58E, E4E591, E4E595, E4E597, E4E59E), ...
Largest known prime number
The largest known prime is a Mersenne prime 223,7XE,125−1, it has 7,870,133 digits, and its value is 174,164,383,313,720,093,6E1,098, ... (7,870,0E3 other digits) ... ,997,379,395,52E,129,858,481,227 (the first 20 digits and the last 20 digits are shown).
Classes of prime numbers
- By formula:
- Fermat primes: of the form 22n + 1
- Generalized Fermat primes base b: of the form b2n + 1
- Mersenne primes: of the form 2p − 1 with prime p
- Generalized Mersenne primes (Generalized repunit primes) base b: of the form (bp − 1)/(b − 1)
- Double Mersenne primes: of the form 22p − 1 − 1 with prime p
- Wagstaff primes: of the form (2p + 1)/3 with odd prime p
- Generalized Wagstaff primes base b: of the form (bp + 1)/(b + 1) with odd prime p
- Factorial primes: of the form n! ± 1
- Primorial primes: of the form p# ± 1 with prime p
- Proth primes: of the form k×2n + 1 with odd k and 2n > k
- Generalized Proth primes base b: of the form k×bn + 1 with k not divisible by b and bn > k
- Riesel primes: of the form k×2n − 1 with odd k and 2n > k
- Generalized Riesel primes base b: of the form k×bn − 1 with k not divisible by b and bn > k
- Pythagorean primes: of the form 4n + 1 (i.e. end with 1 or 5)
- Gaussian primes with no imaginary part: of the form 4n−1 (i.e. end with 3, 7 or E)
- Eisenstein primes with no imaginary part: of the form 3n−1 (i.e. end with 2, 5 or E)
- Pierpont primes: of the form 2m×3n + 1
- Cullen primes: of the form n×2n + 1
- Generalized Cullen primes base b: of the form n×bn + 1 with n ≥ b−1
- Woodall primes: of the form n×2n − 1
- Generalized Woodall primes base b: of the form n×bn − 1 with n ≥ b−1
- Fermat primes: of the form 22n + 1
- By size:
- Titanic primes: at least 1,000 (a thousand) digits
- Gigantic primes: at least 10,000 (a myriad) digits
- Megaprimes: at least 106 (a million) digits
- Bevaprimes: at least 109 (a billion) digits
- Teraprimes: at least 1010 (a trillion) digits
- Petaprimes: at least 1013 (a quadrillion) digits
- Exaprimes: at least 1016 (a quintillion) digits
- Zettaprimes: at least 1019 (a sextillion) digits
- Yottaprimes: at least 1020 (a septillion) digits
The smallest titanic prime is 10EEE+X97, and there are only 26 known megaprimes and 2 known mega-PRPs (no bevaprimes or above are known, in fact, even no primes or PRPs with at least 107 digits are known, the largest known prime has “only” 7,870,133 digits), the smallest known megaprime is 3×23,762,E96+1, it has 1,018,16E digits, it is a Proth prime and a Pierpont prime, besides, both of the two known mega-PRPs are Wagstaff PRPs (of the form (2n+1)/3), and the exponents n of them are 4,578,17E and 4,58X,897.