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