Known 16-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 16-digit prime factors of Googolplex − 1

This is a list of known 16-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. 113659 1040000001 (Dario Alpern, k=3551847)
  2. +1680588011350901 () (k=16805880113509)
  3. 171798 6918400001 (Phil Carmody, k=1)
  4. 172729 4921875001 (Phil Carmody, k=283)
  5. 200195 3125000001 (Phil Carmody, k=41)
  6. 219136 0000000001 (Phil Carmody, k=107)
  7. 228027 3437500001 (Phil Carmody, k=467)
  8. 247619 6289062501 (Dario Alpern, k=4057)
  9. 262144 0000000001 (Phil Carmody, k=1)
  10. 289910 2924800001 (Phil Carmody, k=27)
  11. 357354 7008000001 (Phil Carmody, k=213)
  12. 419430 4000000001 (Phil Carmody, k=1)
  13. 422212 4650659841 (Phil Carmody, k=3)
  14. 429496 7296000001 (Phil Carmody, k=1)
  15. 461708 9843200001 (Phil Carmody, k=43)
  16. 463357 1780198401 (Dario Alpern, k=86307)
  17. 480000 0000000001 (Phil Carmody, k=3)
  18. 481036 3371520001 (Phil Carmody, k=7)
  19. 600000 0000000001 (Phil Carmody, k=3)
  20. 618868 1291366401 (Dario Alpern, k=7377483)
  21. 796149 7600000001 (Dario Alpern, k=77749)
  22. 950272 0000000001 (Phil Carmody, k=29)