Known 97-digit prime factors of Googolplex + 10

1. Alpertron
2. Number Theory
3. Known 97-digit prime factors of Googolplex + 10

This is a list of known 97-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. 1004871 4842602373 7745468357 9487117440 0795999963 0800739509 5959142007 3056276023 1314626941 0005744419 (Patrick Demichel, k=909171)
2. 1432291 1083923256 3985496036 1283126443 6495456195 4908624451 6176731095 8892688196 6375934283 1402648357 (John Gamble, k=16586)
3. 4532444 5552615267 0921182612 8387697429 0402473446 3370869078 2186278633 4287519246 5021360795 3768810081 (Patrick Demichel, k=1284560)
4. 4991284 9726106822 8212162599 7136465388 5582680528 0004991284 9726106822 8212162599 7136465388 5582680529 (Phil Carmody, k=696)
5. 5328982 8703158102 0005328982 8703158102 0005328982 8703158102 0005328982 8703158102 0005328982 8703158103 (Phil Carmody, k=2019)
6. 5396483 9994603516 0005396483 9994603516 0005396483 9994603516 0005396483 9994603516 0005396483 9994603517 (Phil Carmody, k=762)

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.