Known 14-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 14-digit prime factors of Googolplex − 1

This is a list of known 14-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. 1212 3750000001 (Dario Alpern, k=9699)
  2. 1346 2517317633 (Dario Alpern, k=12838857)
  3. 1381 6406250001 (Dario Alpern, k=3537)
  4. +14103673319201 (Dario Alpern) (k=17629591649)
  5. 1525 8789062501 (Phil Carmody, k=1)
  6. 1623 9820800001 (Phil Carmody, k=1239)
  7. 1653 5624089601 (Phil Carmody, k=77)
  8. +20248874160001 (Dario Alpern) (k=253110927)
  9. 2241 4360576001 (Phil Carmody, k=167)
  10. 2257 4752000001 (Dario Alpern, k=705461)
  11. 2336 4622090241 (Phil Carmody, k=17)
  12. 2409 6000000001 (Phil Carmody, k=753)
  13. +26216896777501 (Dario Alpern) (k=10486758711)
  14. 2836 4062500001 (Dario Alpern, k=18153)
  15. 2944 0000000001 (Phil Carmody, k=23)
  16. 3148 5300000001 (Dario Alpern, k=314853)
  17. 3222 6562500001 (Phil Carmody, k=33)
  18. +37750052632001 (Dario Alpern) (k=4718756579)
  19. 3789 0625000001 (Phil Carmody, k=97)
  20. 4000 0000000001 (Phil Carmody, k=1)
  21. 4294 9672960001 (Phil Carmody, k=1)
  22. +42995495312501 (Dario Alpern) (k=27517117)
  23. 4427 3437500001 (Dario Alpern, k=5667)
  24. 4577 6367187501 (Phil Carmody, k=3)
  25. 4617 9488366593 (Phil Carmody, k=21)
  26. 4884 3325440001 (Dario Alpern, k=74529)
  27. 4915 2000000001 (Phil Carmody, k=3)
  28. +50779597795001 (Dario Alpern) (k=10155919559)
  29. +54789630784001 (Dario Alpern) (k=856087981)
  30. 6220 8000000001 (Phil Carmody, k=243)
  31. 6250 0000000001 (Phil Carmody, k=1)
  32. 7708 7402343751 (Phil Carmody, k=1263)
  33. +78875943472201 () (k=394379717361)
  34. 7893 1200000001 (Dario Alpern, k=12333)
  35. 7916 2597656251 (Phil Carmody, k=1297)
  36. +84941592144001 (Dario Alpern) (k=5308849509)
  37. +87770788000001 (Dario Alpern) (k=21942697)