- Alpertron
- Number Theory
- 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 + 2`k` ∏_{i} `p`_{i}^{ei},
where `p`_{i} is a prime factor of 10^{100} − 1
and `e`_{i} is zero or one.

The list of prime factors of 10^{100} − 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 3936221613 3936221613 3936221613 3936221613 3936221613 3936221613 3936221613 3936221613 3936221613 3936221613 (Patrick Demichel, k=2856954)
- 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.