
Known dual Woodall (probable) primes
Expression: b^n-n
b = 2
n = 3 1 digits Prime
n = 9 3 digits Prime
n = 13 4 digits Prime
n = 19 6 digits Prime
n = 21 7 digits Prime
n = 55 17 digits Oct 2025 Prime
n = 261 79 digits Oct 2025 Prime
n = 3415 1029 digits Oct 2025 Prime
n = 4185 1260 digits Oct 2025 Prime
n = 7353 2214 digits Jun 2015 Prime Ted Burton
n = 12213 3677 digits May 2017 Prime Edwin Hall
n = 44169 13297 digits Sep 2001 PRP Henri Lifchitz
n = 60975 18356 digits Sep 2001 PRP Henri Lifchitz
n = 61011 18367 digits Sep 2001 PRP Henri Lifchitz
n = 108049 32526 digits Nov 2001 PRP Henri Lifchitz
n = 182451 54924 digits Oct 2004 PRP Henri Lifchitz
n = 228271 68717 digits Nov 2004 PRP Henri Lifchitz
n = 481801 145037 digits Mar 2005 PRP Henri Lifchitz
n = 500899 150786 digits Apr 2005 PRP Henri Lifchitz
n = 505431 152150 digits Apr 2005 PRP Henri Lifchitz
n = 1015321 305643 digits Aug 2013 PRP Henri Lifchitz
n = 1061095 319422 digits Oct 2013 PRP Henri Lifchitz
n = 1397089 420566 digits Oct 2024 PRP Henri Lifchitz
b = 3
n = 2 1 digits Jun 2026 Prime
n = 8 4 digits Prime
n = 20 10 digits Oct 2025 Prime
n = 40 20 digits Oct 2025 Prime
n = 104 50 digits Oct 2025 Prime
n = 110 53 digits Oct 2025 Prime
n = 208 100 digits Oct 2025 Prime
n = 472 226 digits Oct 2025 Prime
n = 832 397 digits Oct 2025 Prime
n = 1982 946 digits Oct 2025 Prime Ben Chaffin
n = 25628 12228 digits Sep 2001 PRP Henri Lifchitz
n = 235532 112378 digits Sep 2023 PRP Nico Puada
n = 324698 154921 digits Jun 2026 PRP Mark Rodenkirch
b = 4
n = 3 2 digits Jun 2026 Prime
n = 5 4 digits Prime
n = 35 22 digits Oct 2025 Prime
n = 95 58 digits Oct 2025 Prime
n = 1323 797 digits Oct 2025 Prime Ben Chaffin
n = 24747 14900 digits Feb 2014 PRP Robert Price
n = 203111 122286 digits Jun 2026 PRP Mark Rodenkirch
n = 239421 144146 digits Jun 2026 PRP Mark Rodenkirch
n = 342873 206431 digits Jun 2026 PRP Mark Rodenkirch
b = 5
n = 2 2 digits Jun 2026 Prime
n = 6 5 digits Prime
n = 12 9 digits Prime
n = 362 254 digits Oct 2025 Prime
n = 884 618 digits Oct 2025 Prime
n = 9722 6796 digits Oct 2025 PRP
b = 6
n = 19 15 digits Oct 2025 Prime
n = 43 34 digits Oct 2025 Prime
n = 607 473 digits Oct 2025 Prime
n = 889 692 digits Oct 2025 Prime
n = 3727 2901 digits Jan 2021 Prime Masaki UKAI
n = 12229 9517 digits Jun 2026 PRP Mark Rodenkirch
n = 124433 96828 digits Jan 2014 PRP Robert Price
n = 246229 191604 digits Dec 2022 PRP Ryan Propper
b = 7
n = 2 2 digits Jun 2026 Prime
n = 6 6 digits Jun 2026 Prime
n = 8 7 digits Prime
n = 12 11 digits Oct 2025 Prime
n = 44 38 digits Oct 2025 Prime
n = 48 41 digits Oct 2025 Prime
n = 512 433 digits Oct 2025 Prime
n = 1088 920 digits Oct 2025 Prime
n = 1104 933 digits Oct 2025 Prime
n = 6038 5103 digits Oct 2025 PRP
b = 8
n = 3 3 digits Jun 2026 Prime
n = 37 34 digits Oct 2025 Prime
n = 45 41 digits Oct 2025 Prime
n = 597 540 digits Oct 2025 Prime
n = 1131 1022 digits Jul 2018 Prime Ben Chaffin
n = 14203 12827 digits Apr 2013 PRP Giovanni Resta
n = 112539 101633 digits Jan 2014 PRP Robert Price
b = 9
n = 2 2 digits Jun 2026 Prime
n = 70 67 digits Oct 2025 Prime
n = 88 84 digits Oct 2025 Prime
n = 6562 6262 digits Oct 2025 PRP
n = 9100 8684 digits Oct 2025 PRP
n = 11758 11220 digits Apr 2013 PRP Giovanni Resta
n = 34334 32763 digits Mar 2014 PRP Robert Price
n = 39212 37418 digits Mar 2014 PRP Robert Price
n = 120590 115073 digits Mar 2014 PRP Robert Price
b = 10
n = 3 3 digits Jun 2026 Prime
n = 23 24 digits Oct 2025 Prime
n = 171 172 digits Oct 2025 Prime
n = 903 904 digits Oct 2025 Prime
n = 9911 9912 digits Dec 2006 PRP Farideh Firoozbakht
n = 48107 48108 digits Jul 2002 PRP Henri Lifchitz
n = 48449 48450 digits Jul 2002 PRP Henri Lifchitz
n = 60959 60960 digits Aug 2002 PRP Henri Lifchitz
b = 11
n = 18 19 digits Oct 2025 Prime
n = 38 40 digits Oct 2025 Prime
n = 360 375 digits Jul 2018 Prime Ben Chaffin
n = 480 500 digits Jul 2018 Prime Ben Chaffin
n = 740 771 digits Jul 2018 Prime Ben Chaffin
n = 1368 1425 digits Jul 2018 Prime Ben Chaffin
n = 83660 87123 digits Jun 2026 PRP Jiahao He
b = 12
n = 5 6 digits Jun 2026 Prime
n = 401 433 digits Oct 2025 Prime Norman Luhn
n = 7171 7739 digits Oct 2025 PRP Norman Luhn
n = 82351 88872 digits Jun 2026 PRP Vincent Gautier
b = 13
n = 2 3 digits Jun 2026 Prime
n = 240 268 digits Oct 2025 Prime Norman Luhn
n = 264 295 digits Oct 2025 Prime Norman Luhn
n = 530 591 digits Jul 2018 Prime Ben Chaffin
n = 2130 2373 digits Jul 2018 Prime Ben Chaffin
b = 14
n = 3 4 digits Jun 2026 Prime
n = 13 15 digits Jun 2026 Prime
n = 43 50 digits Oct 2025 Prime
n = 44481 50981 digits Jun 2026 PRP Vincent Gautier
b = 15
n = 2 3 digits Jun 2026 Prime
n = 206 243 digits Oct 2025 Prime
b = 16
n = 3 4 digits Jun 2026 Prime
n = 5 7 digits Jun 2026 Prime
n = 299 361 digits Feb 2011 Prime Ignacio Santos
b = 17
n = 6 8 digits Jun 2026 Prime
n = 180 222 digits Oct 2025 Prime
n = 16250 19995 digits Jun 2026 PRP Vincent Gautier
n = 18672 22975 digits Jun 2026 PRP Vincent Gautier
n = 20720 25495 digits Jun 2026 PRP Vincent Gautier
b = 18
n = 3839 4819 digits Oct 2025 PRP Norman Luhn
n = 9529 11962 digits Oct 2025 PRP Norman Luhn
n = 16463 20666 digits Jun 2026 PRP Vincent Gautier
n = 43085 54084 digits Jun 2026 PRP Vincent Gautier
b = 19
n = 2 3 digits Jun 2026 Prime
n = 8 11 digits Jun 2026 Prime
b = 20
n = 87 114 digits Oct 2025 Prime Norman Luhn
n = 897 1168 digits Oct 2025 Prime Norman Luhn
b = 21
n = 2 3 digits Jun 2026 Prime
n = 10 14 digits Jun 2026 Prime
n = 358 474 digits Sep 2021 Prime
n = 542 717 digits Apr 2022 Prime
b = 22
n = 41 56 digits Oct 2025 Prime Norman Luhn
n = 5975 8021 digits Oct 2025 PRP Norman Luhn
b = 23
n = 110 150 digits Oct 2025 Prime Norman Luhn
n = 558 760 digits Nov 2020 Prime
n = 1488 2027 digits Dec 2020 Prime Masaki UKAI
b = 24
n = 15887 21928 digits Oct 2025 PRP
b = 25
n = 18 26 digits Jun 2026 Prime
n = 4292 6000 digits Oct 2025 PRP Norman Luhn
b = 26
n = 3 5 digits Jun 2026 Prime
n = 33 47 digits Oct 2025 Prime Norman Luhn
n = 409 579 digits Oct 2025 Prime Norman Luhn
n = 787 1114 digits Oct 2025 Prime Norman Luhn
n = 8373 11848 digits Oct 2025 PRP Norman Luhn
b = 27
n = 2 3 digits Jun 2026 Prime
n = 308 441 digits Nov 2020 Prime
b = 28
n = 11 16 digits Jun 2026 Prime
n = 15 22 digits Jun 2026 Prime
n = 641 928 digits Oct 2025 Prime Norman Luhn
b = 29
n = 2 3 digits Jun 2026 Prime
n = 60 88 digits Oct 2025 Prime Norman Luhn
n = 68 100 digits Oct 2025 Prime Norman Luhn
n = 72 106 digits Oct 2025 Prime Norman Luhn
n = 1628 2381 digits Dec 2020 Prime Masaki UKAI
b = 31
n = 24 36 digits Jun 2026 Prime
n = 1418 2115 digits Dec 2020 Prime Masaki UKAI
n = 3708 5530 digits Oct 2025 PRP Norman Luhn
n = 4292 6401 digits Oct 2025 PRP Norman Luhn
b = 32
n = 31 47 digits Jun 2026 Prime
n = 429 646 digits Oct 2025 Prime Norman Luhn
n = 1729 2603 digits Dec 2020 Prime Masaki UKAI
n = 9999 15050 digits Oct 2025 PRP Norman Luhn
b = 33
n = 2 4 digits Jun 2026 Prime
n = 20 31 digits Jun 2026 Prime
n = 424 644 digits Oct 2025 Prime Norman Luhn
n = 668 1015 digits Oct 2025 Prime Norman Luhn
n = 2290 3478 digits Oct 2025 Prime Norman Luhn
b = 34
n = 3 5 digits Jun 2026 Prime
n = 11 17 digits Jun 2026 Prime
n = 95 146 digits Oct 2025 Prime Norman Luhn
n = 3783 5794 digits Oct 2025 PRP Norman Luhn
b = 35
n = 2 4 digits Jun 2026 Prime
n = 432 668 digits Oct 2025 Prime Norman Luhn
n = 488 754 digits Oct 2025 Prime Norman Luhn
n = 3582 5531 digits Oct 2025 PRP Norman Luhn
b = 36
n = 107827 167812 digits Jun 2023 PRP Kellen Shenton
b = 37
n = 2 4 digits Jun 2026 Prime
n = 6 10 digits Jun 2026 Prime
n = 66 104 digits Nov 2025 Prime Norman Luhn
n = 180 283 digits Nov 2025 Prime Norman Luhn
b = 38
n = 3 5 digits Jun 2026 Prime
n = 99 157 digits Nov 2025 Prime Norman Luhn
b = 39
n = 8 13 digits Jun 2026 Prime
n = 62 99 digits Nov 2025 Prime Norman Luhn
n = 644 1025 digits Oct 2020 Prime Seth Troisi
b = 40
n = 3 5 digits Jun 2026 Prime
n = 21 34 digits Jun 2026 Prime
n = 89 143 digits Nov 2025 Prime Norman Luhn
n = 5711 9150 digits Nov 2025 PRP Norman Luhn
b = 41
n = 24 39 digits Jun 2026 Prime
n = 2120 3420 digits Nov 2025 Prime Norman Luhn
b = 42
n = 5 9 digits Jun 2026 Prime
n = 107 174 digits Nov 2025 Prime Norman Luhn
n = 751 1220 digits Nov 2025 Prime Norman Luhn
n = 1991 3232 digits Nov 2025 Prime Norman Luhn
b = 43
n = 2 4 digits Jun 2026 Prime
n = 42 69 digits Jun 2026 Prime
n = 986 1611 digits Apr 2022 Prime
b = 45
n = 514 850 digits Aug 2023 Prime Kellen Shenton
b = 46
n = 6737 11202 digits Sep 2004 PRP T. D. Noe
b = 47
n = 2 4 digits Jun 2026 Prime
b = 48
n = 119 201 digits Nov 2025 Prime Norman Luhn
n = 6757 11361 digits Nov 2025 PRP Norman Luhn
b = 49
n = 2 4 digits Jun 2026 Prime
n = 1982 3350 digits Nov 2025 Prime Norman Luhn
b = 50
n = 5521 9381 digits Aug 2023 PRP Kellen Shenton
n = 5679 9649 digits Nov 2025 PRP Norman Luhn
b = 51
n = 140 240 digits Nov 2025 Prime Norman Luhn
b = 52
n = 15 26 digits Jun 2026 Prime
n = 87 150 digits Nov 2025 Prime Norman Luhn
b = 53
n = 108 187 digits Nov 2025 Prime Norman Luhn
n = 2922 5039 digits Nov 2025 PRP Norman Luhn
n = 6926 11943 digits Nov 2025 PRP Norman Luhn
n = 8328 14360 digits Nov 2025 PRP Norman Luhn
b = 54
n = 41 72 digits Jun 2026 Prime
n = 385 667 digits Nov 2025 Prime Norman Luhn
n = 797 1381 digits Nov 2025 Prime Norman Luhn
b = 55
n = 2 4 digits Jun 2026 Prime
n = 98 171 digits Nov 2025 Prime Norman Luhn
n = 338 589 digits Nov 2025 Prime Norman Luhn
n = 614 1069 digits Nov 2025 Prime Norman Luhn
b = 56
n = 15 27 digits Jun 2026 Prime
n = 157 275 digits Nov 2025 Prime Norman Luhn
n = 673 1177 digits Nov 2025 Prime Norman Luhn
b = 57
n = 82 144 digits Nov 2025 Prime Norman Luhn
n = 284 499 digits Nov 2025 Prime Norman Luhn
b = 58
n = 35 62 digits Jun 2026 Prime
b = 60
n = 7 13 digits Jun 2026 Prime
n = 16927 30099 digits Jun 2026 PRP Vincent Gautier
b = 61
n = 2 4 digits Jun 2026 Prime
n = 680 1215 digits May 2026 Prime Vincent Gautier
n = 734 1311 digits May 2026 Prime Vincent Gautier
n = 2750 4910 digits May 2026 PRP Vincent Gautier
n = 3282 5860 digits May 2026 PRP Vincent Gautier
b = 62
n = 9 22 digits Jun 2026 Prime Vincent Gautier
n = 39 70 digits Jun 2026 Prime Vincent Gautier
n = 61 110 digits Jun 2026 Prime Vincent Gautier
b = 63
n = 2 4 digits Jun 2026 Prime
n = 208 375 digits Jun 2026 Prime Vincent Gautier
n = 3340 6010 digits Jun 2026 PRP Vincent Gautier
b = 64
n = 177 320 digits Feb 2011 Prime
b = 66
n = 7 13 digits Jun 2026 Prime Vincent Gautier
n = 95 173 digits Jun 2026 Prime Vincent Gautier
n = 515 938 digits Jun 2026 Prime Vincent Gautier
b = 67
n = 15062 27505 digits May 2026 PRP Vincent Gautier
b = 68
n = 15 28 digits Jun 2026 Prime
n = 25 46 digits Jun 2026 Prime
n = 115 211 digits Jun 2026 Prime
b = 69
n = 2 4 digits Jun 2026 Prime
n = 28 52 digits Jun 2026 Prime
n = 70 129 digits Jun 2026 Prime
b = 71
n = 2 4 digits Jun 2026 Prime
n = 38 71 digits Jun 2026 Prime
b = 72
n = 161 300 digits Jun 2026 Prime
b = 73
n = 8 15 digits Jun 2026 Prime
n = 458 854 digits Jun 2026 Prime
b = 74
n = 3 6 digits Jun 2026 Prime
n = 21 40 digits Jun 2026 Prime
n = 45 85 digits Jun 2026 Prime
b = 75
n = 2 4 digits Jun 2026 Prime
n = 8 16 digits Jun 2026 Prime
b = 76
n = 47 89 digits Jun 2026 Prime
b = 77
n = 2 4 digits Jun 2026 Prime
b = 78
n = 59 112 digits Jun 2026 Prime
n = 257 487 digits Jun 2026 Prime
b = 79
n = 492 934 digits Jun 2026 Prime
b = 80
n = 3 6 digits Jun 2026 Prime
n = 19 37 digits Jun 2026 Prime
b = 81
n = 20 39 digits Jun 2026 Prime
b = 82
n = 11 22 digits Jun 2026 Prime
b = 83
n = 60 116 digits Jun 2026 Prime
n = 170 327 digits Jun 2026 Prime
b = 86
n = 9 22 digits Jun 2026 Prime
b = 87
n = 20 39 digits Jun 2026 Prime
n = 38 74 digits Jun 2026 Prime
n = 190 369 digits Jun 2026 Prime
b = 88
n = 9 22 digits Jun 2026 Prime
n = 71 139 digits Jun 2026 Prime
b = 89
n = 2 4 digits Jun 2026 Prime
n = 24 47 digits Jun 2026 Prime
n = 164 320 digits Jun 2026 Prime
n = 500 975 digits Jun 2026 Prime
b = 92
n = 21 42 digits Jun 2026 Prime
b = 93
n = 2 4 digits Jun 2026 Prime
n = 52 103 digits Jun 2026 Prime
b = 94
n = 11 22 digits Jun 2026 Prime
n = 21 42 digits Jun 2026 Prime
b = 95
n = 134 266 digits Jun 2026 Prime
b = 97
n = 20 40 digits Jun 2026 Prime
n = 84 167 digits Jun 2026 Prime
n = 200 398 digits Jun 2026 Prime
b = 98
n = 37 74 digits Jun 2026 Prime
n = 381 759 digits Jun 2026 Prime
b = 256
n = 11517 27736 digits Oct 2012 PRP Enzo Doria
b = 451
n = 402 1067 digits May 2026 Prime Jiahao He
b = 488
n = 391 1052 digits May 2026 Prime Jiahao He
b = 512
n = 405 1098 digits Nov 2011 Prime Edwin Hall
b = 528
n = 415 1130 digits May 2026 Prime Jiahao He
b = 533
n = 420 1146 digits May 2026 Prime Jiahao He
b = 539
n = 468 1279 digits May 2026 Prime Jiahao He
b = 542
n = 415 1135 digits May 2026 Prime Jiahao He
b = 543
n = 490 1341 digits May 2026 Prime Jiahao He
b = 555
n = 446 1224 digits May 2026 Prime Jiahao He
b = 855
n = 18538 54353 digits Jun 2023 PRP Kellen Shenton