Known 69-digit prime factors of Googolplex - 1

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  2. Number Theory
  3. Known 69-digit prime factors of Googolplex − 1

This is a list of known 69-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. 100811987 7677875200 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=586803)
  2. 102140518 2655144017 1897411346 4355468750 0000000000 0000000000 0000000001 (Phil Carmody, k=23)
  3. 119904086 6595169063 6575222015 3808593750 0000000000 0000000000 0000000001 (Phil Carmody, k=27)
  4. 123596191 4062500000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=81)
  5. 163348224 6157072932 5363200000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=70841)
  6. 171547033 6000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=409)
  7. 195964800 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=61239)
  8. 266698050 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=5333961)
  9. 413138944 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=197)
  10. 415136237 2795119881 6299438476 5625000000 0000000000 0000000000 0000000001 (Dario Alpern, k=5705589)
  11. 478562500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Dario Alpern, k=7657)
  12. 488941387 3776504715 3516206890 3446197509 7656250000 0000000000 0000000001 (Dario Alpern, k=1761597)
  13. 637024641 0369873046 8750000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=171)