Known 96-digit prime factors of Googolplex + 10

1. Alpertron
2. Number Theory
3. Known 96-digit prime factors of Googolplex + 10

This is a list of known 96-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. 169575 0134929935 9368944232 2534445579 8570537920 0000169575 0134929935 9368944232 2534445579 8570537921 (Patrick Demichel, k=5920)
2. 172819 0099182720 0000172819 0099182720 0000172819 0099182720 0000172819 0099182720 0000172819 0099182721 (Phil Carmody, k=320)
3. 188687 8253193846 0000188687 8253193846 0000188687 8253193846 0000188687 8253193846 0000188687 8253193847 (Patrick Demichel, k=21661)
4. 321549 0619294206 0000321549 0619294206 0000321549 0619294206 0000321549 0619294206 0000321549 0619294207 (Patrick Demichel, k=2143187)
5. 494300 5690562610 0000494300 5690562610 0000494300 5690562610 0000494300 5690562610 0000494300 5690562611 (David Broadhurst, k=85)
6. 825246 8097219827 0776022667 4909985585 6870130419 4652053713 3445991360 5427251134 0258757119 1521358887 (Patrick Demichel, k=309563)
7. 843842 9489632880 0000843842 9489632880 0000843842 9489632880 0000843842 9489632880 0000843842 9489632881 (Patrick Demichel, k=404840)

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.