Known 98-digit prime factors of Googolplex + 10

1. Alpertron
2. Number Theory
3. Known 98-digit prime factors of Googolplex + 10

This is a list of known 98-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. 10174784 3654373716 1635771696 2304645758 2261052473 5885784175 2241585243 4260187263 3591313201 3634906487 (Patrick Demichel, k=339727)
2. 11091617 9988908382 0011091617 9988908382 0011091617 9988908382 0011091617 9988908382 0011091617 9988908383 (Patrick Demichel, k=54909)
3. 27399105 3522016499 4055451883 1761979228 8110459287 3791229990 0296612595 9763177212 2056649866 5708169809 (Patrick Demichel, k=736328)

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.