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. 1322452 7194727052 1435585400 9266440199 5539171058 2971619482 4224430022 4405882430 6296143169 8509468089 (Phil Carmody, k=756)
2. 5468536 3852974493 1838600054 6853638529 7449318386 0005468536 3852974493 1838600054 6853638529 7449318387 (Phil Carmody, k=7)
3. 6401412 6458245052 0006401412 6458245052 0006401412 6458245052 0006401412 6458245052 0006401412 6458245053 (Phil Carmody, k=886)
4. 7448320 2462671201 6660834774 4295340524 3752468240 5649922197 6820197324 2303308651 8652866646 9394942119 (Phil Carmody, k=331)