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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, ...
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