Williams primes of the form (b-1)•bn-1

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Primes table

There are 169 sequences:

b Last update max n # Primes for n
2 2019-08-04 85,000,000 51 2, 3, 5, 7, 13, 17, 19, 31, 61, 89, 107, 127, 521, 607, 1279, 2203, 2281, 3217, 4253, 4423, 9689, 9941, 11213, 19937, 21701, 23209, 44497, 86243, 110503, 132049, 216091, 756839, 859433, 1257787, 1398269, 2976221, 3021377, 6972593, 13466917, 20996011, 24036583, 25964951, 30402457, 32582657, 37156667, 42643801, 43112609, 57885161, 74207281, 77232917, 82589933
3 2019-03-01
Borys Jaworski
1,840,000 37 1, 2, 3, 7, 8, 12, 20, 23, 27, 35, 56, 62, 68, 131, 222, 384, 387, 579, 644, 1772, 3751, 5270, 6335, 8544, 9204, 12312, 18806, 21114, 49340, 75551, 90012, 128295, 143552, 147488, 1010743, 1063844, 1360104
4 2019-03-01 7,350,000 36 1, 2, 3, 9, 17, 19, 32, 38, 47, 103, 108, 153, 162, 229, 235, 637, 1638, 2102, 2567, 6338, 7449, 12845, 20814, 40165, 61815, 77965, 117380, 207420, 351019, 496350, 600523, 1156367, 2117707, 5742009, 5865925, 5947859
5 2019-05-11
Dylan Delgado
1,000,000 20 1, 3, 9, 13, 15, 25, 39, 69, 165, 171, 209, 339, 2033, 6583, 15393, 282989, 498483, 504221, 754611, 864751
6 2019-10-29
Karsten Bonath
606,000 27 1, 2, 6, 7, 11, 23, 33, 48, 68, 79, 116, 151, 205, 1016, 1332, 1448, 3481, 3566, 3665, 11233, 13363, 29166, 44358, 58530, 191706, 386450, 605168
7 2015-11-13 200,000 21 1, 2, 7, 18, 55, 69, 87, 119, 141, 189, 249, 354, 1586, 2135, 2865, 2930, 4214, 7167, 67485, 74402, 79326
8 2019-03-26 1,410,000 9 3, 7, 15, 59, 6127, 8703, 11619, 23403, 124299
9 2014-03-16 200,000 17 1, 2, 5, 25, 85, 92, 97, 649, 2017, 2978, 3577, 4985, 17978, 21365, 66002, 95305, 142199
10 2019-01-29 1,030,000 21 1, 3, 7, 19, 29, 37, 93, 935, 8415, 9631, 11143, 41475, 41917, 48051, 107663, 212903, 223871, 260253, 364521, 383643, 1009567
11 2015-01-19 200,000 13 1, 3, 37, 119, 255, 355, 371, 497, 1759, 34863, 50719, 147709, 263893
12 2015-03-20 200,000 16 1, 2, 21, 25, 33, 54, 78, 235, 1566, 2273, 2310, 4121, 7775, 42249, 105974, 138961
13 2019-04-17 100,000 16 2, 7, 11, 36, 164, 216, 302, 311, 455, 738, 1107, 2244, 3326, 4878, 8067, 46466
14 2018-03-27
John Eisenmann
56,100 12 1, 3, 5, 27, 35, 165, 209, 2351, 11277, 21807, 25453, 52443
15 2018-03-27 25,000 4 14, 33, 43, 20885
16 2018-04-11 1,375,000 10 1, 20, 29, 43, 56, 251, 25985, 27031, 142195, 164066
17 2018-03-09 25,000 8 1, 3, 71, 139, 265, 793, 1729, 18069
18 2018-03-09 25,000 10 2, 6, 26, 79, 91, 96, 416, 554, 1910, 4968
19 2019-04-17 30,000 8 6, 9, 20, 43, 174, 273, 428, 1388
20 2018-03-09 25,000 4 1, 219, 223, 3659
21 2018-03-17 25,000 13 1, 2, 7, 24, 31, 60, 230, 307, 750, 1131, 1665, 1827, 8673
22 2018-03-17 25,000 10 1, 2, 5, 19, 141, 302, 337, 4746, 5759, 16530
23 2018-03-17 25,000 7 55, 103, 115, 131, 535, 1183, 9683
24 2018-03-17 25,000 8 12, 18, 63, 153, 221, 1256, 13116, 15593
25 2018-03-17 25,000 13 1, 5, 7, 30, 75, 371, 383, 609, 819, 855, 7130, 7827, 9368
26 2018-03-17 25,000 4 133, 205, 215, 1649
27 2018-03-17 25,000 16 1, 3, 5, 13, 15, 31, 55, 151, 259, 479, 734, 1775, 2078, 6159, 6393, 9013
28 2018-03-14 25,000 4 20, 1091, 5747, 6770
29 2018-03-17 25,000 7 1, 7, 11, 57, 69, 235, 16487
30 2018-03-17 25,000 11 2, 83, 566, 938, 1934, 2323, 3032, 7889, 8353, 9899, 11785
31 2018-03-17 25,000 13 1, 5, 27, 41, 48, 177, 398, 536, 608, 618, 13728, 14393, 14949
32 2018-04-17 456,400 11 1, 7, 23, 41, 47, 693, 16331, 30053, 54823, 81221, 133257
33 2019-04-20 10,000 7 2, 3, 146, 1543, 1592, 2247, 3087
34 2019-04-20 10,000 4 15, 25, 99, 188
35 2019-04-20 10,000 9 3, 5, 7, 13, 31, 69, 341, 437, 485
36 2019-04-20 10,000 9 1, 9, 11, 15, 27, 145, 417, 762, 2693
37 2019-04-20 10,000 5 7, 325, 439, 3769, 8537
38 2011-07-12 142,000 1 136211
39 2019-04-20 10,000 10 1, 3, 5, 8, 90, 272, 290, 767, 2775, 6809
40 2019-04-20 10,000 6 1, 19, 218, 767, 2607, 7075
41 2019-04-20 10,000 3 7, 295, 1573
42 2019-04-20 10,000 12 1, 3, 6, 9, 11, 47, 61, 105, 263, 517, 5225, 5783
43 2019-04-20 10,000 5 7, 39, 71, 639, 4590
44 2019-04-20 10,000 5 7, 17, 43, 731, 1751
45 2019-04-20 10,000 9 1, 13, 72, 83, 132, 144, 1473, 1901, 4412
46 2019-04-21 10,000 12 1, 2, 3, 9, 12, 24, 68, 108, 476, 619, 839, 1561
47 2019-04-21 10,000 7 1, 9, 15, 45, 211, 1633, 1933
48 2019-04-21 10,000 8 2, 3, 14, 48, 215, 324, 518, 2439
49 2019-04-21 10,000 11 1, 5, 18, 21, 35, 84, 121, 189, 2610, 4281, 4579
50 2019-04-21 10,000 7 25, 37, 39, 47, 99, 245, 1589
51 2019-04-21 10,000 5 1, 31, 170, 557, 3644
52 2019-04-21 10,000 10 5, 13, 19, 425, 585, 1833, 2130, 3617, 4999, 8447
53 2019-04-21 10,000 3 3, 251, 4567
54 2019-04-21 10,000 9 1, 5, 14, 321, 427, 620, 902, 1461, 1555
55 2019-04-21 10,000 9 1, 15, 44, 71, 98, 147, 225, 242, 4837
56 2019-04-21 10,000 4 1, 25, 77, 297
57 2019-04-21 10,000 5 1, 2, 3, 18, 367
58 2019-04-21 10,000 3 2, 14, 1076
59 2019-04-21 10,000 4 3, 15, 493, 2183
60 2019-04-21 10,000 3 1, 5, 13
61 2019-04-21 10,000 10 1, 2, 7, 25, 132, 216, 439, 482, 581, 1081
62 2019-04-18 10,000 3 899, 2185, 5641
63 2019-04-21 10,000 8 3, 30, 36, 79, 527, 1002, 2687, 8967
64 2013-11-18 833,333 10 11, 21, 119, 1677, 3939, 18759, 19151, 20629, 36449, 101784
71 2018-04-08 25,000 5 1, 59, 93, 2093, 5485
83 2008-08-22 29,000 1 21495
88 2018-04-08 25,000 5 3, 163, 366, 522, 4571
93 2018-04-08 25,000 2 476, 908
107 2018-04-08 25,000 6 37, 103, 319, 583, 605, 5317
113 2012-10-01 290,000 1 286643
128 2019-03-01
Borys Jaworski
1,950,000 0
158 2018-04-15 25,000 4 127, 263, 323, 6119
188 2008-07-17 20,000 1 13507
233 2014-10-02 250,000 0
268 2019-08-03
Conjectures 'R Us
400,000 0
293 2013-11-07 200,000 0
383 2013-09-19 200,000 0
401 2013-09-04 103,679 1 103669
417 2011-08-04 21,250 1 21002
458 2011-08-06 50,000 1 46899
478 2013 200,000 0
488 2013-12-02 200,000 0
491 2006-08-31 10,000 7 1, 5, 9, 75, 109, 2171, 3575
492 2006-08-31 10,000 5 29, 283, 1829, 3283, 4223
493 2006-08-31 10,000 6 2, 15, 67, 2199, 4055, 8103
494 2011-08-09 22,000 1 21579
495 2006-08-31 10,000 7 1, 12, 39, 201, 530, 4434, 6767
496 2006-08-31 10,000 5 1, 6, 186, 281, 517
497 2006-08-31 10,000 5 1, 3, 5, 61, 89
498 2006-08-31 10,000 4 2, 8, 26, 906
499 2006-08-31 10,000 2 32, 67
500 2006-08-31 10,000 3 1, 11, 173
518 2013-09-23 131,000 1 129371
527 2011-08-22 67,000 1 65821
533 2013-12-03 200,000 0
554 2014 200,000 0
602 2011-08-28 22,000 1 17643
608 2011-08-29 37,000 1 36227
638 2011-09-06 76,000 1 74527
663 2011-09-13 75,000 1 47556
665 2014-05-22 200,000 0
698 2011-09-13 200,000 0
758 2011-09-17 50,563 1 50563
779 2014-06-11 200,000 0
833 2011-09-20 16,400 1 12219
863 2011-10-25 200,000 0
878 2014-04-22 200,000 0
918 2011-09-12 10,000 1 9756
932 2014-08-20 200,000 0
938 2011-10-25 51,500 1 50007
941 2014-08-15 200,000 0
950 2011-09-15 20,000 1 16247
1010 2014-02-19 150,000 0
1012 2011-11-02 33,700 1 32693
1034 2014-04-08 150,000 0
1088 2012-07-09 41,000 1 29579
1108 2012-07-10 26,000 1 15647
1115 2012-07-11 4,000 1 3629
1142 2014-07-11 15,000 1 9501
1145 2012-09-18 100,000 0
1160 2012-09-20 31,000 1 24303
1163 2012-09-20 5,000 1 3967
1164 2012-10-31 100,000 0
1199 2012-12-03 100,000 0
1253 2012-12-20 100,000 0
1268 2012-12-21 30,000 1 13735
1283 2019-09-19
Karsten Bonath
200,000 0
1290 2019-06-03 5,500 1 5377
1328 2013-01-17 100,000 0
1353 2013-02-17 100,000 0
1388 2013-02-21 52,000 1 49063
1430 2013-03-25 100,000 0
1444 2013-03-25 39,000 1 26345
1489 2013-05-23 100,000 0
1493 2013-05-28 100,000 0
1522 2013-06-18 100,000 0
1558 2013-06 11,000 2 4931, 10944
1559 2013-05-29 21,000 1 20055
1568 2013-05-30 17,000 1 14759
1632 2013-05-30 12,200 1 12169
1653 2013-06-05 55,000 1 21102
1658 2013-06-13 100,000 0
1676 2013-06-13 34,000 1 29309
1683 2013-08-16 100,000 0
1696 2013-06-18 15,700 1 15488
1733 2013-08-07 100,000 0
1738 2013-08-07 100,000 0
1745 2013-08-05 100,000 0
1748 2013-07-08 48,000 1 24095
1772 2013-07-05 33,000 1 13163
1793 2013-07-08 52,000 1 45859
1801 2019-06-05 34,000 1 23089
1808 2013-07-29 100,000 0
1813 2013-07-18 46,800 1 46159
1820 2013-07-18 12,000 1 7051
1826 2013-07-17 6,600 1 6443
1873 2013-08-11 61,000 1 60619
1893 2013-07-24 26,000 2 18264, 21084
1898 2013-07-18 5,000 1 4447
1901 2013-07-18 5,700 1 4177
1913 2013-08-16 100,000 0
1922 2013-08-05 38,000 1 36597
1928 2013-08-21 100,000 0
1940 2013-08-11 62,000 1 55679
1948 2013-08-29 100,000 0
1967 2013-07-24 18,800 1 16993
1970 2013-07-25 27,000 1 13387
1988 2013-09-12 100,000 0
2018 2013-09-12 200,000 0
2036 2013-07-26 13,000 1 12831