Known 326-digit prime factors of googolduplex − 1

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2. Number Theory
3. Known 326-digit prime factors of googolduplex − 1

This is a list of known 326-digit prime factors of googolduplex − 1, i.e., 10^{10^(10^100)} − 1.

These numbers have the form 1 + 2k × 2^m × 5ⁿ, where 0 ≤ m ≤ 10¹⁰⁰ and 0 ≤ m ≤ 10¹⁰⁰.

In the list you can see the prime factors, their discoverer and their corresponding value of k.

1. 611747 2938748616 7437909007 2742801333 3469841491 9396561385 2372167700 2865541810 1433380214 6511892550 1514013376 4361962676 0482788085 9375000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=3)
2. 859601 9021474931 1035328205 2405916810 1875321371 0070361664 9292696615 9308785227 9133332958 8979886472 9741715439 5211534085 2455169755 2203598099 7875720707 5760775936 3433277792 4877966313 4882866870 6119060516 3574218750 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=171)