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. 133321 (k=20)
2. 148339 (k=201)
3. 153607 (k=1)
4. 181837 (k=2)
5. 256813 (k=2)
6. 311609 (k=4)
7. 327277 (k=2)
8. 329059 (k=181)
9. 333367 (k=1)
10. 361183 (k=17)
11. 389659 (k=643)
12. 408127 (k=1)
13. 521767 (k=7)
14. 546613 (k=2)
15. 552841 (k=340)
16. 679207 (k=1)
17. 721213 (k=2)
18. 760531 (k=5)
19. 921637 (k=2)

Phil Carmody is organizing a distributed computing project in order to find more factors of Googolplex + 10. If you like these pages I would appreciate that you donate some idle cycles of your computer. You will be cited as the discoverer of the factors you find.