Known dual Cullen (probable) primes
Expression: b^n+n
b = 2
n = 3 2 digits Prime
n = 5 2 digits Prime
n = 9 3 digits Prime
n = 15 5 digits Prime
n = 39 12 digits Oct 2025 Prime
n = 75 23 digits Oct 2025 Prime
n = 81 25 digits Oct 2025 Prime
n = 89 27 digits Oct 2025 Prime
n = 317 96 digits Oct 2025 Prime
n = 701 212 digits Oct 2025 Prime
n = 735 222 digits Oct 2025 Prime
n = 1311 395 digits Oct 2025 Prime
n = 1881 567 digits Oct 2025 Prime
n = 3201 964 digits Oct 2025 Prime
n = 3225 971 digits Oct 2025 Prime
n = 11795 3551 digits May 2017 Prime Edwin Hall
n = 88071 26513 digits Sep 2001 Prime Henri Lifchitz
n = 204129 61449 digits Apr 2002 PRP Henri Lifchitz
n = 678561 204268 digits May 2006 PRP Henri Lifchitz
b = 3
n = 2 2 digits Jun 2026 Prime
n = 8 4 digits Jun 2026 Prime
n = 34 17 digits Oct 2025 Prime
n = 1532 731 digits Oct 2025 Prime
n = 18248 8707 digits Oct 2025 PRP Norman Luhn
n = 430622 205459 digits Jun 2026 PRP Mark Rodenkirch
n = 436268 208153 digits Jun 2026 PRP Mark Rodenkirch
b = 4
n = 3 2 digits Jun 2026 Prime
n = 9 6 digits Jun 2026 Prime
n = 15 10 digits Jun 2026 Prime
n = 37 23 digits Oct 2025 Prime
n = 85 52 digits Oct 2025 Prime
n = 133 81 digits Oct 2025 Prime
n = 225 136 digits Oct 2025 Prime
n = 1233 743 digits Oct 2025 Prime
n = 12793 7703 digits Feb 2020 PRP Jinyuan Wang
n = 108889 65558 digits Mar 2024 PRP Hugo Pfoertner
b = 5
n = 7954 5560 digits Aug 2023 Prime
n = 22102 15449 digits May 2025 PRP
n = 33054 23104 digits Jul 2025 PRP
n = 1375156 961193 digits Sep 2025 PRP Anonymous
b = 6
n = 305 238 digits Jun 2026 Prime
n = 761 593 digits Jun 2026 Prime
n = 1357 1056 digits Jul 2018 Prime Ben Chaffin
n = 3793 2952 digits Sep 2012 Prime Vincenzo Librandi
n = 4027 3134 digits Sep 2012 Prime Bruno Berselli
n = 85481 66518 digits Aug 2014 PRP Henri Lifchitz
n = 198187 154220 digits Jun 2026 PRP Mark Rodenkirch
b = 7
n = 34 29 digits Jun 2026 Prime
n = 48 41 digits Jun 2026 Prime
n = 8578 7250 digits Oct 2025 PRP
n = 18960 16024 digits Mar 2024 PRP
b = 8
n = 101 92 digits Jun 2026 Prime
b = 9
n = 2 2 digits Jun 2026 Prime
n = 76 73 digits Jun 2026 Prime
n = 9602 9163 digits Oct 2025 PRP Norman Luhn
n = 35470 33847 digits Jun 2026 PRP Jiahao He
b = 10
n = 9 10 digits Jun 2026 Prime
n = 69 70 digits Jun 2026 Prime
n = 313 314 digits Jun 2026 Prime
n = 451 452 digits Jun 2026 Prime
n = 13807 13808 digits Jul 2001 Prime Milton L. Brown
n = 23769 23770 digits Oct 2001 Prime Milton L. Brown
b = 11
n = 1181716 1230631 digits Jul 2023 PRP Kellen Shenton
b = 12
n = 23 25 digits Jun 2026 Prime
n = 35 38 digits Jun 2026 Prime
n = 319 345 digits Jun 2026 Prime
n = 7969 8600 digits Oct 2025 PRP Norman Luhn
n = 16271 17560 digits Jun 2026 PRP Vincent Gautier
b = 13
n = 54 61 digits Jun 2026 Prime
n = 63618 70867 digits Jun 2026 PRP Vincent Gautier
b = 14
n = 17 20 digits Jun 2026 Prime
n = 185 213 digits Jun 2026 Prime
n = 279 320 digits Jun 2026 Prime
n = 299 343 digits Jun 2026 Prime
n = 17453 20004 digits Jun 2026 PRP Vincent Gautier
b = 15
n = 2 3 digits Jun 2026 Prime
n = 26 31 digits Jun 2026 Prime
n = 44 52 digits Jun 2026 Prime
b = 16
n = 3 4 digits Jun 2026 Prime
n = 7 9 digits Jun 2026 Prime
n = 793 955 digits Jun 2026 Prime
n = 38613 46495 digits Jun 2026 PRP Vincent Gautier
b = 17
n = 1080 1329 digits Aug 2017 Prime Nathan Pakaran
n = 1960 2412 digits Dec 2020 Prime Masaki UKAI
b = 18
n = 35 44 digits Jun 2026 Prime
n = 4015 5040 digits Oct 2025 PRP Norman Luhn
n = 7541 9467 digits Oct 2025 PRP Norman Luhn
n = 13019 16343 digits Jun 2026 PRP Vincent Gautier
b = 19
n = 57910 74053 digits May 2022 PRP Kellen Shenton
b = 20
n = 9 12 digits Jun 2026 Prime
n = 17 23 digits Jun 2026 Prime
n = 123 161 digits Jun 2026 Prime
n = 3891 5063 digits Oct 2025 PRP
b = 21
n = 2 3 digits Jun 2026 Prime
b = 22
n = 3 5 digits Jun 2026 Prime
n = 15 21 digits Jun 2026 Prime
n = 19 26 digits Jun 2026 Prime
n = 315 423 digits Jun 2026 Prime
b = 23
n = 202 276 digits Jun 2026 Prime
n = 1588 2163 digits Dec 2020 Prime Masaki UKAI
n = 3100 4222 digits Oct 2025 PRP Norman Luhn
b = 24
n = 2075 2864 digits Dec 2023 Prime
b = 25
n = 5538 7742 digits Oct 2025 PRP Norman Luhn
b = 26
n = 3 5 digits Jun 2026 Prime
n = 1283 1816 digits Oct 2025 Prime Norman Luhn
b = 28
n = 19 28 digits Jun 2026 Prime
n = 25 37 digits Jun 2026 Prime
n = 51 74 digits Jun 2026 Prime
n = 1279 1851 digits Oct 2025 Prime Norman Luhn
n = 2133 3087 digits Oct 2025 Prime Norman Luhn
n = 2253 3261 digits Oct 2025 Prime Norman Luhn
b = 29
n = 7942 11615 digits Oct 2025 PRP Norman Luhn
b = 30
n = 71 105 digits Jun 2026 Prime
b = 31
n = 30 45 digits Jun 2026 Prime
b = 32
n = 3 5 digits Jun 2026 Prime
n = 11 17 digits Jun 2026 Prime
b = 33
n = 2 4 digits Jun 2026 Prime
n = 8 13 digits Jun 2026 Prime
n = 3100 4708 digits Oct 2025 PRP Norman Luhn
b = 34
n = 559 857 digits Jun 2026 Prime
b = 36
n = 5 8 digits Jun 2026 Prime
n = 715 1113 digits Nov 2025 Prime Norman Luhn
b = 38
n = 1739 2748 digits Dec 2020 Prime Masaki UKAI
n = 3789 5986 digits Nov 2025 PRP Norman Luhn
b = 39
n = 2 4 digits Jun 2026 Prime
n = 5390 8576 digits Nov 2025 PRP Norman Luhn
b = 40
n = 9 15 digits Jun 2026 Prime
n = 237 380 digits Jun 2026 Prime
b = 42
n = 5 9 digits Jun 2026 Prime
b = 43
n = 141090 230467 digits Jun 2023 PRP Kellen Shenton
b = 44
n = 203 334 digits Jun 2026 Prime
n = 4325 7108 digits Nov 2025 PRP Norman Luhn
b = 45
n = 2 4 digits Jun 2026 Prime
n = 3878 6412 digits Nov 2025 PRP Norman Luhn
n = 9424 15580 digits Nov 2025 PRP Norman Luhn
b = 46
n = 43 72 digits Jun 2026 Prime
n = 583 970 digits Jun 2026 Prime
n = 1353 2250 digits Nov 2025 Prime Norman Luhn
n = 8923 14837 digits Nov 2025 PRP Norman Luhn
b = 47
n = 214 358 digits Jun 2026 Prime
b = 48
n = 7 12 digits Jun 2026 Prime
n = 11 19 digits Jun 2026 Prime
n = 41 69 digits Jun 2026 Prime
b = 50
n = 3 6 digits Jun 2026 Prime
n = 17 29 digits Jun 2026 Prime
b = 51
n = 6176 10546 digits Nov 2025 PRP Norman Luhn
b = 52
n = 3 6 digits Jun 2026 Prime
n = 37 64 digits Jun 2026 Prime
b = 53
n = 85114 146761 digits May 2022 PRP Kellen Shenton
b = 55
n = 24 42 digits Jun 2026 Prime
b = 56
n = 5 9 digits Jun 2026 Prime
n = 17 30 digits Jun 2026 Prime
n = 255 446 digits Jun 2026 Prime
n = 5655 9887 digits Nov 2025 PRP Norman Luhn
b = 57
n = 2 4 digits Jun 2026 Prime
b = 60
n = 41749 74237 digits Jun 2026 PRP Vincent Gautier
b = 61
n = 29226 52179 digits Jun 2023 PRP Kellen Shenton
b = 62
n = 3 6 digits Jun 2026 Prime
b = 63
n = 1658 2984 digits Jun 2026 Prime Vincent Gautier
n = 3716 6687 digits Jun 2026 PRP Vincent Gautier
b = 64
n = 3 6 digits Jun 2026 Prime
n = 255 461 digits Jun 2026 Prime
n = 745 1346 digits Jan 2023 Prime
n = 40437 73037 digits May 2026 PRP Vincent Gautier
b = 65
n = 1126 2042 digits Jun 2026 Prime Vincent Gautier
n = 13318 24145 digits Jun 2026 PRP Vincent Gautier
b = 66
n = 7 13 digits Jun 2026 Prime
n = 97 177 digits Jun 2026 Prime
b = 72
n = 5 10 digits Jun 2026 Prime
n = 35 66 digits Jun 2026 Prime
b = 73
n = 197880 368715 digits Jun 2023 PRP Kellen Shenton
b = 74
n = 3 6 digits Jun 2026 Prime
n = 15 29 digits Jun 2026 Prime
b = 75
n = 472 886 digits Jun 2026 Prime
b = 76
n = 3 6 digits Jun 2026 Prime
n = 7 14 digits Jun 2026 Prime
n = 21 40 digits Jun 2026 Prime
b = 78
n = 11 21 digits Jun 2026 Prime
n = 47 89 digits Jun 2026 Prime
n = 491 930 digits Jun 2026 Prime
b = 79
n = 75948 144121 digits Jun 2023 PRP Kellen Shenton
b = 81
n = 2 4 digits Jun 2026 Prime
n = 20 39 digits Jun 2026 Prime
b = 82
n = 19 37 digits Jun 2026 Prime
b = 84
n = 17 33 digits Jun 2026 Prime
b = 85
n = 16 31 digits Jun 2026 Prime
b = 86
n = 3 6 digits Jun 2026 Prime
b = 87
n = 272 528 digits Jun 2026 Prime
b = 88
n = 91 177 digits Jun 2026 Prime
n = 373 726 digits Jun 2026 Prime
b = 89
n = 367176 715770 digits Mar 2025 PRP Kellen Shenton
b = 92
n = 15 30 digits Jun 2026 Prime
n = 21 42 digits Jun 2026 Prime
b = 94
n = 3 6 digits Jun 2026 Prime
n = 7 14 digits Jun 2026 Prime
b = 98
n = 5 10 digits Jun 2026 Prime
n = 9 22 digits Jun 2026 Prime
b = 99
n = 2 4 digits Jun 2026 Prime