Known 41-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 41-digit prime factors of Googolplex − 1

This is a list of known 41-digit prime factors of googolplex − 1, i.e., 1010^100 − 1.

These numbers have the form 1 + 2k × 2m × 5n, where 0 ≤ m ≤ 100 and 0 ≤ n ≤ 100.

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

  1. 1 1040137258 3119713663 8705664000 0000000001 (Dario Alpern, k=29223)
  2. 1 1291544243 9437441034 5119744000 0000000001 (Dario Alpern, k=956431)
  3. 1 1330856555 6428800000 0000000000 0000000001 (Dario Alpern, k=4221073)
  4. 1 3999044895 1721191406 2500000000 0000000001 (Dario Alpern, k=46973)
  5. 1 7592186044 4160000000 0000000000 0000000001 (Phil Carmody, k=1)
  6. 1 9610979506 9787651300 4302978515 6250000001 (Phil Carmody, k=69)
  7. 2 0890720927 7440000000 0000000000 0000000001 (Phil Carmody, k=19)
  8. 2 6645352591 0037569701 6716003417 9687500001 (Phil Carmody, k=3)
  9. 2 8823037615 1711744000 0000000000 0000000001 (Phil Carmody, k=1)
  10. 2 8900882875 1622287078 1952000000 0000000001 (Phil Carmody, k=153)
  11. 2 8999025403 2090888358 6525917053 2226562501 (Phil Carmody, k=653)
  12. 3 1186523437 5000000000 0000000000 0000000001 (Dario Alpern, k=6387)
  13. 3 1369025132 9536000000 0000000000 0000000001 (Dario Alpern, k=4674349)
  14. 3 2925793750 0000000000 0000000000 0000000001 (Dario Alpern, k=5268127)
  15. 3 4128384000 0000000000 0000000000 0000000001 (Dario Alpern, k=66657)
  16. 3 4612603485 5842590332 0312500000 0000000001 (Dario Alpern, k=7433)
  17. 3 5527136788 0050092935 5621337890 6250000001 (Phil Carmody, k=1)
  18. 3 6132812500 0000000000 0000000000 0000000001 (Phil Carmody, k=37)
  19. 5 5988878011 7034912109 3750000000 0000000001 (Dario Alpern, k=75147)
  20. 5 6008284930 8537257984 0000000000 0000000001 (Dario Alpern, k=994907)
  21. 5 6843418860 8080148696 8994140625 0000000001 (Phil Carmody, k=1)
  22. 5 7564063273 9654685371 7628852109 3120000001 (Dario Alpern, k=1162497)
  23. 6 0507154842 0710314530 8792591094 9707031251 (Phil Carmody, k=109)
  24. 6 6827006771 2000000000 0000000000 0000000001 (Dario Alpern, k=4979)
  25. 7 6381049680 2036121600 0000000000 0000000001 (Phil Carmody, k=53)
  26. 7 8643200000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  27. 8 7750000000 0000000000 0000000000 0000000001 (Phil Carmody, k=351)
  28. 9 8818563635 9554804438 2259118080 0000000001 (Dario Alpern, k=3193)