Known 9-digit prime factors of Googolplex - 10

1. Alpertron
2. Number Theory
3. Known 9-digit prime factors of Googolplex − 10

This is a list of known 9-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. 103959683 (k=1)
2. 126668653 (k=2)
3. 130963267 (k=7)
4. 136393759 (k=1)
5. 141368723 (k=1)
6. 141625837 (k=2)
7. 147601477 (k=2)
8. 162601627 (k=1)
9. 170656267 (k=1)
10. 180795649 (k=128)
11. 181718479 (k=981)
12. 182106031 (k=5)
13. 207828919 (k=1)
14. 208788157 (k=2)
15. 209449963 (k=459)
16. 218642587 (k=1)
17. 226987399 (k=1)
18. 242748683 (k=431)
19. 272787517 (k=2)
20. 301169881 (k=60)
21. 302909041 (k=280)
22. 317333281 (k=80)
23. 325963159 (k=2143)
24. 328517041 (k=40)
25. 341312533 (k=2)
26. 367399639 (k=4041)
27. 388001197 (k=19402)
28. 543072637 (k=2)
29. 552194479 (k=1)
30. 552787831 (k=35)
31. 579442159 (k=1)
32. 581524267 (k=1)
33. 641982199 (k=143)
34. 669398929 (k=8)
35. 679914493 (k=32002)
36. 821458453 (k=122)
37. 871191289 (k=396)
38. 886767439 (k=23)
39. 967776547 (k=1)
40. 975799837 (k=2)