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Wanted values for bases up to 100 Edit

11, (21), 25, (35), 3E, 41, (45), 47, 59, 61, 85, 91, X1, X7, E5, E7

Bases with "()" are the bases with known generalized Cullen primes, but the smallest generalized Cullen primes for these bases are still unknown (see the table).

Table for bases up to 100 Edit

BaseExponents of generalized Cullen prime
21, E9, 2889, 342E, 39XE, X854, 16830, 16959, 2X634, 44689, 107X43, 1550X3, 1E2X63, 554064, 2152430, 22X1809, ...
32, 8, 28, 46, 96, 2X6, 988, 10X2, 1794, 29X2, 4258, E1E6, 143446, 490X1X, ...
41, 3, 7, 29, 57, 167, 473, 640, 973, 2229, 2370, 6211, 23EE3, ...
5876, X786, ...
61, 2, 77, 135, 283, 348, 523, 568, 5891, 5X2E, 6E77, 7712, 15E19, 25974, ...
72X, 1190, 588X, ...
85, 15, 1E, 1133, 1009E, 18975, 20940, ..., 301636, ...
92, 71EX, 13E88, 1616X, 58250, ...
X1, 3, 9, 19, 263, 1301, 2973, 247X9, 5140X, X02X9, ...
EX, ...
101, 8, 187, 210X, 291E, E551, 9089E, ...
11...
123, 5, 6, 9, 29, 39, 183, 190, 105X, 14X5, 335X, 72X5, 20755, ...
138, 12, 38, 10X, 1XX, 49X, X102, 2X486, ...
141, 3, 47, 69, 167, 863, 18E0, 1XE1, ...
15E456, E4996, ...
161, 3, 19, 1E, 5X2, E83, 1E75, 98E3, 24XE7, 2XX3E, 73424, 762X0, ...
1738X4, ...
183, 3713, 4810, 10E30, 73794, ...
192, 8, 22, 329E8, ...
1X1, 13, 139, 57X, E631, 35953, ...
1E260X, 4385X, ...
202, 8, 268, ...
21..., E33486, ...
2299, 199E, 22EX, 45XE, 31070, 43544, ...
232, 48, 116X6, ..., 10638X, ...
241, 40, 330, 1653, 21E9, 24X8X, ...
25...
261, 2, 3, 7, 12, 15, 33, 67, 73, 83, X8, 121, 165, 190, 217, 213X, 3657, E429, 24932, ...
2740014, ...
285, ...
292, 448, 1094, 451X0, ...
2X21, 29, 87, 143, 213, 2X7, ...
2E214, E090, ...
301, 2, 3, 8, 13E, 888, 3E18, 10X17, 11607, 15089, ..., 92659, ...
3130, ...
323, 849, ...
33268, 296, 19214, ...
341, 14X, ..., 37390, ...
35..., 731644, ...
361, 2, E, 18, 4979, 8419, 12E61, 19648, 26320, ...
37286, ...
3845, ...
392, 8, 70, ...
3X1, 579, XE4, ...
3E...
403, 9, 12, 67, 96, 132, 5494, 7X29, 2XX59, ...
41...
425715, 6X30, 4549X, ...
4352, 968, 5X24, 15252, 32108, 67098, ...
441, 120, 1X393, ...
45..., 548186, ...
463, 8, 25, 6632, ...
47...
48754, 16115, ...
49176, 332, E72, 1122, ...
4X1, 3, 2X, 131, 190, 7X7, 12X3, 273X, ...
4E164, 37110, ...
501, 9, 11, 95, 11E, 14X, 311, 372, 2056, 4367, 34X47, ...
51EX, 38486, ...
528EE, 4143, 2112E, ...
538, 42, 27592, ...
543, 293, 4631, 82E9, ...
5599EX, ...
561, 2, 112, 195, 708, 157E, 1E70, 2249, 3E3XX, ...
57336, 26770, ...
5863209, ...
59...
5X1, 3, 11, 3520, 6161, X611, E7E7, 19186, ...
5E80X4, ...
601, 2, 2E, 9E, 1XX, 427, 1X15, 8388, 12701, ...
61...
623, 13, 135XX, ...
632, ...
64809, 3161, 8E90, ...
657086, ...
661, 21, 89, 192, 6213, ...
6728X924, ...
685, 1X9, 1X89, 1142X, 2X793, ...
69252, 364X0, 60E36, 87154, ...
6X1, 993, 11043, ...
6E876, ...
7022, 2X327, ...
71136, 7X6, 1XX34, ...
723, 15, 39, 1X3, 57984, ...
732, 9X, 1791X, ...
741, 2X3, 833, ...
7520X, ...
7612, 36X, 40E, 13X4E, 247E3, ...
774XX06, ...
789, 190, 2310, 53EE, ...
792, 1E18, 3322, 8X238, ...
7X547, 847, 1X91, 6569, ...
7E14X, 26X, X696, ...
801, 2, 3, 8, 9566, 2149E, 6E205, ...
81966, ...
8253, 43X, 799, 2745, 12E46, 85259, ...
832, 238, 107X4, 13746, 16168, 68426, ...
841, 2E7, 1523, 10449, 35840, 48897, ..., 133487, ...
85...
861, 2, 18, 2791, 3252, 94E5, 12882, 46257, ...
8752X6, ...
881E, 2E384, ...
892, 302, 448, 566, 294X8, 45116, ...
8X1, 3, ...
8E2X, 286, ...
901, 35, 46, 128, 592, 16X9, 1866, 5797, 1989X, ...
91...
9219XE, X190, ...
9322, 30, 7E2, ...
941, 227, 1E1X, 45E1, 5399, 6506, ...
95187276, ...
967, 9, 45, 117, 10X2, 418E, 4X72, 6478, 9142, ...
9720, ...
98539X05, ...
9986862, ...
9X2204, 1X266, ...
9E24E4, 6510, ...
X03, 7, 13, 20, 7X, 3EX, 1147, 3725X, ...
X1...
X29, 96, 1X1E, 2049, ...
X32, 142, 198, 2862, 883X, ...
X4371, ...
X5100, 256, 47984, ...
X61, 1929, 4478, ...
X7...
X89, 2E, 3X9, 4599, ...
X99X, 448, X362, 1E40X, 20E04, ...
XX1, 27, 134, 25EX, 291X, 140E4, 28819, 40061, ...
XE643X, ...
E02, X, 8E, 103, 188, 12EE, 2383, 5X86, 611E, ...
E140, ...
E213, 29, ...
E32, 8, ...
E41, 1241, ...
E5...
E61, 5, 1X, 463, 469, ...
E7...
E83, 40, 15X, 38E, 830, 21X4, 1XE7X, ...
E9X32, 30122, ...
EX189, 1EE9, 7XE7, ...
EEX, 10, ...
1005, 7, 11, 25, 37X, 5X9, 1262, 1613, 10503, 28X31, ...
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