Known 10-digit prime factors of Googolplex - 10

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

This is a list of known 10-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. 1114409357 (k=38)
2. 1118328157 (k=2)
3. 1122489919 (k=1601)
4. 1122665773 (k=2)
5. 1167338947 (k=1)
6. 1293106511 (k=5)
7. 1321426147 (k=1)
8. 1389920599 (k=1)
9. 1469931919 (k=1183)
10. 1661311843 (k=17)
11. 1706716267 (k=1)
12. 1726479907 (k=1)
13. 1974893603 (k=1)
14. 2020379797 (k=2)
15. 2121680681 (k=140)
16. 2184698479 (k=53)
17. 2210481961 (k=13460)
18. 2327591719 (k=1)
19. 2357791921 (k=290440)
20. 2779211557 (k=2)
21. 2985957133 (k=2)
22. 3061841071 (k=95)
23. 3231644077 (k=2)
24. 3278269147 (k=1)
25. 3360968123 (k=1)
26. 3408499249 (k=4648)
27. 3453742093 (k=2)
28. 3523411999 (k=19021)
29. 3532577467 (k=61)
30. 3593229751 (k=125)
31. 3636363637 (k=2)
32. 3694736321 (k=160)
33. 3712650679 (k=69191)
34. 3807431923 (k=7)
35. 4066647841 (k=80)
36. 4399855387 (k=1)
37. 4422474631 (k=35)
38. 4637387773 (k=34)
39. 5031159031 (k=78935)
40. 5179439719 (k=1)
41. 5374832431 (k=5)
42. 5665033441 (k=80)
43. 5849021707 (k=1)
44. 6009084083 (k=31)
45. 6449798917 (k=2)
46. 6534653467 (k=1)
47. 6700888547 (k=27413)
48. 6949602991 (k=5)
49. 6996906907 (k=1)
50. 7165953643 (k=55807)
51. 7428857041 (k=1480)
52. 7558629563 (k=1)
53. 8450248831 (k=5)
54. 8957871397 (k=2)
55. 9330335653 (k=22)
56. 9748369511 (k=5)
57. 9960120253 (k=214)