Known 5-digit prime factors of Googolplex - 10

1. Alpertron
2. Number Theory
3. Known 5-digit prime factors of Googolplex − 10

This is a list of known 5-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. 21649 (k=8)
2. 30307 (k=1)
3. 34849 (k=176)
4. 51203 (k=1)
5. 52711 (k=35)
6. 54547 (k=1)
7. 56369 (k=104)
8. 97561 (k=20)