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., 10^{10^100} − 10.

These numbers have the form 1 + 2k ∏_i p_i^e_i, where p_i is a prime factor of 10¹⁰⁰ − 1 and e_i 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. 10137997 (k=2)
2. 10529293 (k=2)
3. 11629333 (k=234)
4. 11899999 (k=1)
5. 15213613 (k=2)
6. 16425853 (k=2)
7. 16527439 (k=1)
8. 20199799 (k=1)
9. 26936317 (k=2)
10. 27336013 (k=2)
11. 27382093 (k=2)
12. 28745839 (k=1)
13. 29569693 (k=2)
14. 29929241 (k=20)
15. 31587877 (k=2)
16. 36852523 (k=7)
17. 37418077 (k=2)
18. 42109267 (k=1)
19. 42916921 (k=20)
20. 43397399 (k=29)
21. 47904671 (k=8035)
22. 48148843 (k=7)
23. 52371653 (k=104326)
24. 53716511 (k=5)
25. 53866129 (k=8)
26. 57491677 (k=2)
27. 58354973 (k=26)
28. 69276307 (k=1)
29. 75662467 (k=1)
30. 76655569 (k=8)
31. 77110213 (k=2)
32. 84721831 (k=5)
33. 86110039 (k=1351)
34. 95837323 (k=7)
35. 97200973 (k=54)
36. 97724227 (k=1)