Known 86-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 86-digit prime factors of Googolplex − 1

This is a list of known 86-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. 118904 8859373542 6547937095 1652526855 4687500000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1071)
  2. 160000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
  3. 279724 6093750000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=143219)
  4. 768570 0094787584 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=3578933)
  5. 822922 4448000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=981)
  6. 844011 0832452774 0478515625 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=29)
  7. 954969 4368615746 4981079101 5625000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=21)