Known 389-digit prime factors of googolduplex − 1

1. Alpertron
2. Number Theory
3. Known 389-digit prime factors of googolduplex − 1

This is a list of known 389-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. 271125602 2605899155 3211317114 7708570856 3094932257 9399142055 8234448714 6318540689 4062103982 9615836351 5077976698 0155615396 0034459491 7176302023 1399306388 5331462704 7267923223 7234063470 5658507733 4546784474 6514427880 3429552337 6258569134 1082739187 9389813153 1280010355 9569401102 7938114632 6490524845 3952333713 8064476741 0046311328 9194438948 4706334769 7257995605 4687500000 0000000000 0000000000 0000000001 (Phil Carmody, k=71)