Known 101-digit prime factors of Googolplex + 10

1. Alpertron
2. Number Theory
3. Known 101-digit prime factors of Googolplex + 10

This is a list of known 101-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. 1 3936221613 3936221613 3936221613 3936221613 3936221613 3936221613 3936221613 3936221613 3936221613 3936221613 (Patrick Demichel, k=2856954)
2. 2 2468970144 2468970144 2468970144 2468970144 2468970144 2468970144 2468970144 2468970144 2468970144 2468970143 (Phil Carmody, k=3349)

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.