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

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Primes table

There are 80 sequences:

b Last update max n # Primes for n
2 2010-10-01 6,200,000 49 1, 2, 5, 6, 8, 12, 18, 30, 36, 41, 66, 189, 201, 209, 276, 353, 408, 438, 534, 2208, 2816, 3168, 3189, 3912, 20909, 34350, 42294, 42665, 44685, 48150, 54792, 55182, 59973, 80190, 157169, 213321, 303093, 362765, 382449, 709968, 801978, 916773, 1832496, 2145353, 2291610, 2478785, 5082306, 7033641, 10829346
3 2019-07-28
Matthias Baur
1,000,000 23 1, 2, 3, 6, 14, 15, 39, 201, 249, 885, 1005, 1254, 1635, 3306, 3522, 9602, 19785, 72698, 233583, 328689, 537918, 887535, 980925
5 2015-01-16 300,000 16 1, 2, 3, 23, 27, 33, 63, 158, 278, 290, 351, 471, 797, 8462, 28793, 266030
6 2019-07-31
Ryan Propper
2,000,000 31 1, 6, 17, 38, 50, 80, 207, 236, 264, 309, 555, 1128, 1479, 1574, 2808, 3525, 5334, 9980, 13485, 17616, 18846, 24896, 34215, 67914, 115268, 166407, 1246814, 1793775, 2104746, 2396573, 3072198
8 2008-02-08 540,000 23 1, 2, 11, 14, 21, 27, 54, 122, 221, 435, 498, 942, 1118, 1139, 1230, 1614, 1934, 13062, 16634, 128330, 278270, 350342, 1165814
9 2014-03-16 200,000 19 2, 6, 9, 11, 51, 56, 81, 941, 1647, 7466, 9477, 9806, 11799, 16941, 33437, 35273, 43284, 93813, 95369
11 2018-03-27 25,000 12 2, 3, 6, 8, 138, 149, 222, 363, 995, 1218, 2072, 2559
12 2018-03-27 25,000 11 1, 2, 8, 9, 17, 26, 62, 86, 152, 365, 2540
14 2018-03-27 25,000 10 1, 3, 24, 29, 44, 48, 1350, 1520, 4500, 4668
15 2018-03-27 25,000 11 1, 3, 5, 21, 35, 101, 860, 2691, 5250, 8787, 9990
17 2018-03-09 25,000 4 1, 6, 204, 2850
18 2018-03-09 25,000 5 9, 1529, 2477, 4130, 15218
20 2018-03-09 25,000 9 1, 6, 191, 468, 644, 1583, 3926, 17163, 24371
21 2018-03-17 25,000 8 1, 5, 26, 206, 350, 1547, 1853, 7796
23 2018-03-17 25,000 10 2, 11, 18, 27, 57, 362, 383, 651, 3783, 8603
24 2018-03-17 25,000 9 1, 2, 3, 8, 66, 968, 4758, 5790, 17168
26 2018-03-17 25,000 10 2, 5, 179, 377, 425, 491, 2108, 2852, 4517, 15836
27 2018-03-17 25,000 5 1, 5, 6, 165, 825
29 2018-03-17 25,000 9 5, 41, 42, 44, 125, 2013, 3398, 4583, 9032
30 2018-03-17 25,000 9 2, 36, 282, 425, 918, 2226, 2274, 3354, 4245
32 2019-05-27 726,390 7 5, 105, 284, 326, 8537, 9561, 120054
33 2019-06-25 10,000 6 1, 629, 699, 1571, 1683, 4286
35 2019-06-25 10,000 8 2, 3, 6, 8, 29, 185, 492, 2028
36 2019-06-25 10,000 4 3, 8, 1163, 7562
38 2018-04-01 25,000 6 1, 21, 63, 87, 122, 206
39 2019-06-25 10,000 9 3, 9, 44, 89, 356, 1208, 1719, 2915, 4139
41 2019-06-25 10,000 6 1, 6, 11, 39, 636, 1637
42 2019-06-25 10,000 7 2, 17, 114, 501, 4793, 5189, 5216
44 2019-06-25 10,000 6 2, 3, 24, 26, 32, 134
45 2019-06-25 10,000 10 2, 15, 21, 39, 183, 255, 849, 1604, 1983, 3314
47 2019-06-25 10,000 4 2, 41, 129, 4089
48 2019-06-25 10,000 7 6, 14, 15, 87, 231, 3125, 9773
50 2019-06-25 10,000 3 1, 6, 2987
51 2019-06-25 10,000 6 183, 351, 464, 1175, 1593, 2084
53 2019-06-25 10,000 7 2, 3, 9, 17, 41, 51, 7179
54 2019-06-25 10,000 11 1, 9, 23, 51, 75, 104, 176, 1233, 3243, 7040, 9447
56 2019-06-25 10,000 9 2, 3, 12, 24, 36, 222, 473, 1451, 4856
57 2019-06-25 10,000 7 1, 2, 9, 14, 113, 224, 1545
59 2019-06-25 10,000 2 1, 219
60 2019-06-25 10,000 5 21, 98, 1421, 3083, 5405
62 2019-06-25 10,000 7 1, 2, 14, 18, 998, 1034, 3458
63 2019-06-25 10,000 2 185, 1751
71 2018-04-01 25,000 9 1, 2, 3, 20, 93, 633, 1035, 1695, 5511
83 2018-04-14 25,000 8 5, 21, 198, 803, 1334, 4143, 5666, 14774
93 2018-04-08 25,000 8 3, 6, 185, 210, 282, 605, 13961, 17553
107 2018-04-08 25,000 4 80, 1568, 2630, 6281
113 2018-04-08 25,000 6 3, 5, 23, 35, 74, 9753
128 2010-12-13 162,857 8 3, 41, 138, 153, 8198, 10838, 11718, 16071
158 2018-01-25 25,000 3 141, 225, 5190
171 2019-06-26 10,000 2 1851, 3411
201 2019-06-26 50,000 1 31274
222 2018-04-27 54,000 1 52725
227 2018-06-19 37,000 1 36321
269 2018-06-19 10,000 1 1398
275 2018-06-19 10,000 2 1911, 8943
302 2018-06-19 10,000 1 1085
327 2019-06-17
Conjectures 'R Us
100,000 0
339 2019-06-25 10,000 2 1002, 5798
425 2019-05-14 11,229 1 11229
473 2019-05-15 20,000 2 3521, 4031
512 2010-11-02 104,444 9 1, 5, 14, 17, 26, 15164, 21468, 37460, 90996
542 2019-05-15 20,000 1 1806
633 2019-06-25 10,000 1 5246
683 2019-05-15 10,000 1 6774
710 2019-05-20 25,000 1 24110
717 2019-05-21 46,000 1 37506
719 2019-05-21 20,000 1 13418
813 2019-06-17 60,000 0
858 2019-06-25 10,000 1 3749
863 2019-07-05
Karsten Bonath
186,000 0
888 2018-06-23 10,000 2 1647, 4118
912 2019-06-15 10,000 1 4917
929 2019-06-15 10,000 2 3615, 6446
947 2019-06-17 10,000 2 2693, 8870
962 2019-07-05 69,000 0
983 2019-06-17 11,000 3 1875, 7482, 10005
999 2019-06-25 10,000 1 3761
1008 2019-06-17 10,000 1 2771
1010 2019-06-17 10,000 1 3351
1017 2019-06-17
Conjectures 'R Us
250,000 0