Known 99-digit prime factors of Googolplex + 10

1. Alpertron
2. Number Theory
3. Known 99-digit prime factors of Googolplex + 10

This is a list of known 99-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. 135010214 3730463790 5486363677 1284074977 6116417190 6630350513 7235123491 1981703976 4788734678 2611757491 (Patrick Demichel, k=611955)
2. 151570231 2756796302 5888622024 1043648892 2302964653 5864366023 7044000510 1601417816 5330853099 8015760447 (Patrick Demichel, k=680307)
3. 223106587 6191319920 5342884849 3494824177 1171433651 5668651142 0745775366 0788429403 8049279622 6616978207 (Patrick Demichel, k=233327)

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.