Known 23-digit prime factors of Googolplex - 1

  1. Alpertron
  2. Number Theory
  3. Known 23-digit prime factors of Googolplex − 1

This is a list of known 23-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. 100 1500000000 0000000001 (Phil Carmody, k=2003)
  2. 135 5337524414 0625000001 (Dario Alpern, k=444117)
  3. +15343168188889137818369 () (k=59934250737848194603)
  4. 159 9569516088 5248000001 (Dario Alpern, k=3637)
  5. 160 0000000000 0000000001 (Phil Carmody, k=1)
  6. 163 8400000000 0000000001 (Phil Carmody, k=1)
  7. 164 9267441664 0000000001 (Phil Carmody, k=3)
  8. 165 5296000000 0000000001 (Dario Alpern, k=3233)
  9. 167 6380634307 8613281251 (Phil Carmody, k=9)
  10. 175 2346656768 0000000001 (Phil Carmody, k=51)
  11. 184 4674407370 9551616001 (Phil Carmody, k=1)
  12. 186 7776000000 0000000001 (Phil Carmody, k=57)
  13. 249 2455421214 7200000001 (Dario Alpern, k=3627)
  14. 262 1440000000 0000000001 (Phil Carmody, k=1)
  15. 308 1250000000 0000000001 (Phil Carmody, k=493)
  16. 405 5357440000 0000000001 (Dario Alpern, k=396031)
  17. 459 2980000000 0000000001 (Dario Alpern, k=229649)
  18. 540 4319552844 5952000001 (Phil Carmody, k=3)
  19. 639 6484375000 0000000001 (Phil Carmody, k=131)
  20. 719 6712798041 3131161601 (Dario Alpern, k=1278393)
  21. 804 2780416137 3645045761 (Phil Carmody, k=109)
  22. 840 1489257812 5000000001 (Phil Carmody, k=2753)
  23. 933 8664187315 4605056001 (Phil Carmody, k=81)
  24. 943 7184000000 0000000001 (Phil Carmody, k=9)