Known 25-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 25-digit prime factors of Googolplex − 1

This is a list of known 25-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. 12331 2537600000 0000000001 (Phil Carmody, k=147)
  2. 14186 3388262170 6240000001 (Phil Carmody, k=63)
  3. 17293 8225691027 0464000001 (Phil Carmody, k=3)
  4. 19258 4008129527 7188710401 (Phil Carmody, k=261)
  5. 19385 8146667480 4687500001 (Dario Alpern, k=8131)
  6. 21765 9568786621 0937500001 (Dario Alpern, k=1141163)
  7. 30505 4347165696 0000000001 (Dario Alpern, k=35513)
  8. 35107 1357727050 7812500001 (Phil Carmody, k=589)
  9. 37630 7854606336 0000000001 (Phil Carmody, k=1369)
  10. 43750 0000000000 0000000001 (Phil Carmody, k=7)
  11. 44852 4951934814 4531250001 (Phil Carmody, k=301)
  12. 45334 7182355485 9405148161 (Phil Carmody, k=3)
  13. 47860 0774992394 3166771201 (Dario Alpern, k=5189)
  14. 50332 2294354926 6329600001 (Phil Carmody, k=1397)
  15. 54488 7275520000 0000000001 (Dario Alpern, k=103929)
  16. 55340 2322211286 5484800001 (Phil Carmody, k=3)
  17. 58546 7951558164 4800000001 (Phil Carmody, k=13)
  18. 59468 6257045438 4640000001 (Dario Alpern, k=8451)
  19. 61924 3680000000 0000000001 (Dario Alpern, k=3870273)
  20. 67653 4338903297 8055168001 (Phil Carmody, k=1467)
  21. 74207 7235200000 0000000001 (Dario Alpern, k=7077)
  22. 74311 2960000000 0000000001 (Dario Alpern, k=580557)
  23. 75557 8637259143 2341913601 (Phil Carmody, k=1)
  24. 84825 6040960000 0000000001 (Phil Carmody, k=79)
  25. 91690 6482230177 4888042497 (Dario Alpern, k=15533)
  26. 94911 2012800000 0000000001 (Dario Alpern, k=144823)
  27. 96000 0000000000 0000000001 (Phil Carmody, k=3)