Known 6-digit prime factors of Googolplex - 10

1. Alpertron
2. Number Theory
3. Known 6-digit prime factors of Googolplex − 10

This is a list of known 6-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. 115963 (k=7)
2. 123493 (k=2)
3. 136043 (k=1)
4. 139987 (k=7)
5. 149077 (k=2)
6. 173923 (k=7)
7. 199999 (k=1)
8. 200003 (k=1)
9. 333667 (k=18537)
10. 370477 (k=2)
11. 513239 (k=569)
12. 538987 (k=2191)
13. 666733 (k=2)
14. 770437 (k=2)
15. 943081 (k=580)