Known 7-digit prime factors of Googolplex - 10

1. Alpertron
2. Number Theory
3. Known 7-digit prime factors of Googolplex − 10

This is a list of known 7-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. 1466653 (k=2)
2. 1742173 (k=2)
3. 1811791 (k=2455)
4. 1845427 (k=1)
5. 2096761 (k=3460)
6. 2115427 (k=1301)
7. 2354111 (k=5)
8. 2682359 (k=49)
9. 2824933 (k=2)
10. 2856883 (k=7)
11. 3346333 (k=2)
12. 3774707 (k=13)
13. 4099591 (k=5)
14. 5516879 (k=19)
15. 6709159 (k=1)
16. 8474797 (k=2)
17. 8517599 (k=199)
18. 9056081 (k=40)