Known 8-digit prime factors of Googolplex + 10

  1. Alpertron
  2. Number Theory
  3. Known 8-digit prime factors of Googolplex + 10

This is a list of known 8-digit prime factors of googolplex + 10, i.e., 1010^100 + 10.

These numbers have the form 1 + 2k ∏i piei, where pi is a prime factor of 10100 − 1 and ei is zero or one.

The list of prime factors of 10100 − 1 is: 3, 3, 11, 41, 101, 251, 271, 3541, 5051, 9091, 21401, 25601, 27961, 60101, 7019801, 18 2521213001, 1410 3673319201, 7887 5943472201 and 168058 8011350901.

In the list you can see the prime factors, their discoverer and their corresponding value of k.

  1. 10838917 (k=2)
  2. 11072557 (k=2)
  3. 11181931 (k=5)
  4. 11515333 (k=2)
  5. 12038797 (k=602)
  6. 12590161 (k=760)
  7. 12969007 (k=1)
  8. 13668007 (k=1)
  9. 14036423 (k=1)
  10. 16153099 (k=13)
  11. 16419517 (k=66746)
  12. 19303703 (k=1)
  13. 21965659 (k=13)
  14. 25938013 (k=2)
  15. 31996477 (k=2)
  16. 33666331 (k=5)
  17. 36421207 (k=1)
  18. 37787077 (k=2)
  19. 41220727 (k=1)
  20. 44354539 (k=1)
  21. 45631801 (k=100)
  22. 46145917 (k=282)
  23. 46542619 (k=1)
  24. 47208613 (k=2)
  25. 49287659 (k=119)
  26. 50833099 (k=1)
  27. 56145689 (k=4)
  28. 58595939 (k=1369)
  29. 74552761 (k=20)
  30. 82008037 (k=2)
  31. 87979687 (k=1)
  32. 88004533 (k=322)

Phil Carmody is organizing a distributed computing project in order to find more factors of Googolplex + 10. If you like these pages I would appreciate that you donate some idle cycles of your computer. You will be cited as the discoverer of the factors you find.