Wanted values for bases up to 100[]
None for bases ≤100, the smallest generalized Woodall primes for all bases ≤100 are all known. (however, there are no known generalized Woodall primes for base 101)
Table for bases up to 100[]
| Base | Exponents of generalized Woodall prime |
| 2 | 2, 3, 6, 26, 63, 69, 97, X3, 189, 262, 280, 326, 368, 527, 586, 30X8, 45X3, 5623, 71E7, 91X6, XE19, 11363, 11391, 49172, 6X922, 73493, 282053, 497803, 512443, 5X9497, 811608, 962396, 130EX18, 58476X2, ... |
| 3 | 1, 2, 6, X, 16, 34, 3X, 72, 9X, 122, 818, E96, 106X, 1390, 2616, X762, 36072, 431X0, 46566, 79596, 81730, 121218, 174220, 230612, 41E018, ... |
| 4 | 1, 2, 3, 5, 8, 12, 1E, 53, 8E, E0, 2E8, 382, 7X9, 1185, 11X8, 4108, 1000E, 3X072, 55882, 122108, ... |
| 5 | 8, 12, 36, 280, 3E0, 2568, 3828, 10290, 13890, 47X88, 14X420, 223536, ... |
| 6 | 1, 2, 3, 17, 18, 20, 2X, 65, 8E, 96, X2, 119, 382, 11X7, 2633, 6X2X, 6E8E, 7EX2, 11287, 20153, 29809, 70153, 100803, ... |
| 7 | 2, 16, 58, 70, 2258, 8706, 25X26, ... |
| 8 | 1, 2, 7, 10, 21, 38, 163, 190, 363, 803, 1383, 1878, 27X0, 7232, 8069, 37906, ... |
| 9 | X, 4X, 1X0, XX8, 251X, 12218, ... |
| X | 2, 3, 8, E, 13, 33, 50, 60, 65, 99, 133, 190, 290, 1015, 178E, 2849, 3130, ... |
| E | 2, 8, 190, 828, 910, ... |
| 10 | 1, 6, 37, 127, 585, 63X, 805, 7E58, 13788, 35641, E107X, ... |
| 11 | 2, 6, 232148, ... |
| 12 | 1, 3, 7, 82, 88, X8, 130, 596, E41, 4768, 14622, 22E79, 64431, 71570, 18E006, ... |
| 13 | 2, X, 12, 1408, 9812, 136X2, 13E08, 1EX64, 22360, 7X01X, X5E1X, ... |
| 14 | 11E, 139, 453, ... |
| 15 | 2, 16, 18, 32, 58, 1982, 2028, 1XX38, ... |
| 16 | 1, 2, 6, 8, X, 24, 26, 33, 39, 94, 250, 278, 322, 409, X1E3, 1X513, 21102, 23234, 4579E, ... |
| 17 | 10, 2X2, 17742, 451X2, 70926, 91898, 116410, ... |
| 18 | 1, 16, 38, 50, 68, X3, 2E9, 812, 1241, 50E2, 18550, 20X48, 25148, X1729, ... |
| 19 | 2, 16, 148, 1E6, 206, 81X, 1538, 2624, ... |
| 1X | 2, 5, E8, 112, 19E, 563, 6X8, 14565E, ... |
| 1E | 14970, ... |
| 20 | 1, 2, 5, 10, X4, X37, 10937, 15209, 31469, ... |
| 21 | 2, 58, 88, 316, ... |
| 22 | 3, 8, 67, E0, 183, 271, 500, 1076, 6X80, 65EE6, ... |
| 23 | X, 16, 18, 1498, 3X12, 66E4, 8160, 4EX44, ... |
| 24 | 2, 5, 6, 10, 18, 3E, 5E, 440, 7E9, 147E, 47X8, 158X2, 1X7E5, ... |
| 25 | 13656, E54X6, 111E76, ... |
| 26 | 1, 53, 237, 266, X19, 2031, 2396, 3530, 7X30, 18300, 89711, 98412, ... |
| 27 | 8, 1506, ... |
| 28 | 1, E8, 130, 506, 567, 35490, E7696, ... |
| 29 | 36, 720, 1E80, 9X2X, ... |
| 2X | 2, 3, E, 28, 118, 382, 6X0, 2088, 34X0, 22169, 4E689, 103792, 13619E, ... |
| 2E | 6, 10, 32, E0, 880, 1X86, 3EE0, 5EE20, X0052, ... |
| 30 | 2, 3, 17, 52, 146, 690, 6EE, 19XX, 2458, 8651, 2838E, 531X4, ... |
| 31 | 20, 518, 696, 6486, 11EX2, ... |
| 32 | 1, 2, 7, 8, 10, 26, 29, 57, 71, E7, 157, 867, 13E1, 1EE7, ... |
| 33 | 2, X, 314, 1794, ... |
| 34 | 3, 8, 9, E, 10, 20, 26, 43, 83, 112, 492, 598, ... |
| 35 | 2, 10, 70, 286, 1366, EE6E0, ... |
| 36 | 1, 2, 10, 19, 21, 34, E3, 21X, 5XX, 8XX, 42EX, 31E2E, ... |
| 37 | 2, 176382, ... |
| 38 | 1, 3, 36, 37, 47, 10120, ... |
| 39 | 2, 70, 7X, 120, 4X4, 844, 11656, 587E4, 7X018, ... |
| 3X | 2, 15, E8, 1EE, 17198, 6436E, 84040, ... |
| 3E | E8, 250, 550, 100686, ... |
| 40 | 1, 5, 19, 97, X7, 379, 8E0, 915, 21E50, ... |
| 41 | 2, 12, 4E2, 4536, 87040, ... |
| 42 | 2, 6, 1472, 1567, X363, 1E316, 23983, ... |
| 43 | 1X, 22EX8, ... |
| 44 | 2, 5, 8, 9, 35, 199, 1X6, 316, 804E, ... |
| 45 | 8, 50, 92, X8898, ... |
| 46 | 1, 3, 8, E, 60, 205, 255, 4430, 18X01, 19498, ... |
| 47 | 1240, 4726, ... |
| 48 | 2, 11, 32, 2X6, 473, X46, 2178, 5829, 9E46, ... |
| 49 | 330, 5X6, 1EXX, 2258, 8E80, EXX4, 34E1X, ... |
| 4X | 6, 10, 120, 308, 7XE, EX5, 13X5, 28096, 556X5, ... |
| 4E | 2, 10, 622, X96, ... |
| 50 | 1, 7, 8, 9, X, 19, X3, 206, 539, X2X, 116X, 2506, 4444, 6842, 259X4, 61123, ... |
| 51 | 262, 1080, 76210, ... |
| 52 | 1, 2, 1963, 9108, 11X46, 13092, ... |
| 53 | 2, 32, 226, 13716, 1X802, XE028, ... |
| 54 | 2, 3, 16, 259, 296, 2583, 31203, ... |
| 55 | 6, 1040, 1X02, 20X42, ... |
| 56 | 3, 7, 9, 156, 37XE, 1045X, ... |
| 57 | 22, 32, 68, 63X2, 45E42, ... |
| 58 | 1, E9, 26E0, 182E9, 804X1, ... |
| 59 | 2, 27680, ... |
| 5X | 3, 6, 1E9, 6X0, 765, 85E, 1518, 3086, E419, 38570, 3E008, 59100, ... |
| 5E | 18, 140, ... |
| 60 | 1, 10, 15, 18, 41, 86, 166, 207, 54X, X09, 16X9, 1889, 3910, 5360, 11774, 24304, 404E8, 9401X, ... |
| 61 | 2, 8, E8, 162, 262, ... |
| 62 | 1, 4202, 19191, ... |
| 63 | 24, 9908, ... |
| 64 | 2, 5, 9, 95, 188, E526, 3XEEE, ... |
| 65 | 32, 360, ... |
| 66 | 5, 17, 3E, 114, 281, 287, 861, E6X, 39E1, 6300, 630E, 203E9, ... |
| 67 | 1900, 7820, X1426, ... |
| 68 | 1, 2, 10, 1769, ... |
| 69 | 2, 18, 1X6, 364, X688, ... |
| 6X | 69, 5975, 7XX5, 9763, 30738, ... |
| 6E | 5E6, ... |
| 70 | 1, 3, 11, 34, 60, 1E6, 875, 366X, 9532, 16520, 1E95E, 27760, ... |
| 71 | 2, 10, 16, 98, ... |
| 72 | 3, 7, 8, X33, 11981, ... |
| 73 | 2, 26, 36, 180, 3456, 719XX, ... |
| 74 | 8, X4E, 35799, ... |
| 75 | 50, 588, 1716, 4812, ... |
| 76 | 1, X, 17, 22, 31, 71, XX, 26E, 370, 9211, 15326, ... |
| 77 | 2, 680, 3372, ... |
| 78 | 2, 3, 6, 9, 70, 201, 223, 1142, 5032, ... |
| 79 | X, E6, 134, 248, ... |
| 7X | 5, 19, 39, 49, 76, 242, 345, 43E, 283E, 3439, 6102, ... |
| 7E | 2, 82, 250, 492, ... |
| 80 | 7, 8, 10, 16, 1X, 73, 95, 71X, 250E, 4X30, ... |
| 81 | 132, 3E8, 2E26, 12436, ... |
| 82 | 1, 2, 6, 9, 17, 27, 90, 3378, 4209, ... |
| 83 | X35X, 11102, ... |
| 84 | 3, E, 58, 333, 117X2, ... |
| 85 | 46, 616, EX6, 9076, 167X2, ... |
| 86 | 1, 2, 3, 25, 36, 29X, 538, 1133, 2351, ... |
| 87 | 22, 2E818, ... |
| 88 | 1, 63180, ... |
| 89 | 8, X, 18, 62, X8, 640X, 10534, 17024, 67452, 87906, ... |
| 8X | 18, 1X6, 386, ... |
| 8E | 948, X42, ... |
| 90 | 1, 2, 24, 27, 60, 83, 1205, 197E, 4961, ... |
| 91 | 2, 12, 20, 386, 5E1E0, ... |
| 92 | 1, 6, 63, 426, 943, 2X29, ... |
| 93 | 36, 1X8, 256, 3146, ... |
| 94 | 2, E, 92, X9, 1736, 3283, 6208, ... |
| 95 | 2, 28, 13E0, 10852, ... |
| 96 | 1, EE, 31E, 334, 9244, ... |
| 97 | 2, 12, 70, X60, 1X56, ... |
| 98 | 3, 10, 22901, ... |
| 99 | X, 1X, 22, 6568, ... |
| 9X | 2, E, 86, X6, 148, XX0, ... |
| 9E | 8, 2766, ... |
| X0 | 6, E, 28, 76, 97, XX, 188, 261, 8495, ... |
| X1 | 8, 46568, 63986, ... |
| X2 | 3, 16, 20, 102, 513, 3970, 17871, ... |
| X3 | 8, 22, X8, 140, ... |
| X4 | E, 17902, ... |
| X5 | 2, 576, 87436, ... |
| X6 | 2, 9, 24, 66, X7, 129, 146, 1XX, 214, 420, 962, 1060, 2060, 2560, ... |
| X7 | 2, 22, 112, ... |
| X8 | 1, 6, 9, 17, 539, 5E9, 1011, 13963, 87X22, ... |
| X9 | X, 174X, 9796, 3819X, ... |
| XX | 8, 15, 52, X5, 11E, 1469, 42X2, 17876, ... |
| XE | 1248, 6340, ... |
| E0 | 1, 2, 9, 40, 17E, 17E0, 600E, ... |
| E1 | 50, 116, ... |
| E2 | 2, 3, 130, 6416, 34786, ... |
| E3 | X, 640, ... |
| E4 | 9, 16, 1E, 26, 2E, 89, 1129, 4996, 20876, 33636, 4462E, ... |
| E5 | 2, 1822, ... |
| E6 | 1, 1X, 8E, 1X5, 345, 34X, ... |
| E7 | 28, 3250, ... |
| E8 | 1, 2, 7, 61, 62, 83, 1X8, 243, 516, 49X0, 5368, 6058, 3XE39, 46416, ... |
| E9 | 2, 666, 1905X, 553EX, ... |
| EX | 53, 93, 245, 42X2, E0X0, ... |
| EE | 2, 36, 1956, 13038, 21200, ... |
| 100 | 16, 19, 214, 8X020, ... |