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. 150460258 8664081117 7047801504 6025886640 8111770478 0150460258 8664081117 7047801504 6025886640 8111770479 (Phil Carmody, k=161)
2. 682474151 4741880092 0682474151 4741880092 0682474151 4741880092 0682474151 4741880092 0682474151 4741880093 (Phil Carmody, k=934)
3. 805098960 0805098960 0805098960 0805098960 0805098960 0805098960 0805098960 0805098960 0805098960 0805098961 (Phil Carmody, k=120)