Known 61-digit prime factors of Googolplex - 1

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  3. Known 61-digit prime factors of Googolplex − 1

This is a list of known 61-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 0754279250 8119449600 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=61131)
  2. 1 2192405275 5708641280 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=346529)
  3. 1 6918268203 7353515625 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=1774009)
  4. 1 7180442810 0585937500 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=3603)
  5. 1 7577549345 6270458880 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=3903)
  6. 1 7643725651 9680000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1027)
  7. 1 7732923532 7713280000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=63)
  8. 1 8824636936 1877441406 2500000000 0000000000 0000000000 0000000001 (Dario Alpern, k=12633)
  9. 1 9200000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
  10. 2 1316282072 8030055761 3372802734 3750000000 0000000000 0000000001 (Phil Carmody, k=3)
  11. 2 7804889600 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=2172257)
  12. 3 0693570390 2617600000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=5717123)
  13. 3 9343528435 1539849012 6244723796 8444824218 7500000000 0000000001 (Phil Carmody, k=567)
  14. 4 8175873013 0898982224 6076073497 5337982177 7343750000 0000000001 (Dario Alpern, k=55543)
  15. 5 2872209919 6916872632 1015583380 3582936525 3448486328 1250000001 (Dario Alpern, k=7802561)
  16. 6 0450359165 3752624796 0254721647 2885338589 5490646362 3046875001 (Phil Carmody, k=1827)
  17. 8 0035533756 0176849365 2343750000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)