Known 79-digit prime factors of googolduplex − 1

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  3. Known 79-digit prime factors of googolduplex − 1

This is a list of known 79-digit prime factors of googolduplex − 1, i.e., 1010^(10^100) − 1.

These numbers have the form 1 + 2k × 2m × 5n, where 0 ≤ m ≤ 10100 and 0 ≤ m ≤ 10100.

In the list you can see the prime factors, their discoverer and their corresponding value of k.

  1. 100994414 0625000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=2585457)
  2. 112987831 2369602537 4904420961 7737995489 8423980003 5262123212 8000000000 0000000001 (Phil Carmody, k=9)
  3. 113334126 3854980661 5342350244 8637516030 6859327455 1281308813 5446528000 0000000001 (Phil Carmody, k=551)
  4. 117187500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  5. 120056012 5021551928 3562655155 9384292843 5404087566 2598682991 4514391040 0000000001 (Phil Carmody, k=57)
  6. 139698386 1923217773 4375000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  7. 140545557 0042880000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=523573)
  8. 141001207 2157890974 5858032565 0245868018 8283324241 6381835937 5000000000 0000000001 (Dario Alpern, k=8523)
  9. 158399343 4906005859 3750000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1063)
  10. 171294720 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=2091)
  11. 175245033 4720000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=2674027)
  12. 191323046 2946557963 7326300144 1955566406 2500000000 0000000000 0000000000 0000000001 (Dario Alpern, k=1077053)
  13. 223007451 9853062314 1535718272 6483615059 8041600000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  14. 240922815 7546048808 3500771444 5783477685 8362602069 9739456176 7578125000 0000000001 (Dario Alpern, k=37281)
  15. 314572800 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  16. 382998143 3227658271 7895507812 5000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=3289929)
  17. 399285897 7930284721 3626791525 4537186342 5316405482 5901985168 4570312500 0000000001 (Dario Alpern, k=123573)
  18. 429098751 4424488803 4033716760 2086571413 2469542114 0860928000 0000000000 0000000001 (Phil Carmody, k=7)
  19. 437817802 3976615520 0350935373 1946357468 6295714855 0776764750 4806518554 6875000001 (Phil Carmody, k=111)
  20. 534577026 3671875000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=875851)
  21. 587314495 4880000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=2240427)
  22. 717783117 7238545713 6805581255 1386071040 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  23. 725355491 7687775048 2370560000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  24. 727918939 0466643538 8683964902 1567311137 9146575927 7343750000 0000000000 0000000001 (Phil Carmody, k=11)
  25. 810822288 7591789995 7315171377 5587268173 6946105957 0312500000 0000000000 0000000001 (Dario Alpern, k=3829)
  26. 832667268 4688674053 1772375106 8115234375 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  27. 871122859 3176024664 6623899502 5326621327 3600000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  28. 872415232 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=13)
  29. 963414456 1734543451 3749443608 5760000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=19)