Known 95-digit prime factors of Googolplex - 10

1. Alpertron
2. Number Theory
3. Known 95-digit prime factors of Googolplex − 10

This is a list of known 95-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. 21529 6260741078 0000021529 6260741078 0000021529 6260741078 0000021529 6260741078 0000021529 6260741079 (Phil Carmody, k=313)
2. 42679 9768852220 1274943078 3832597240 0478130329 3792756602 5976138297 5067657001 0039883317 4270844253 (Phil Carmody, k=514)
3. 76007 1463638630 0000076007 1463638630 0000076007 1463638630 0000076007 1463638630 0000076007 1463638631 (Dario Alpern, k=1105)