Known 334-digit prime factors of googolduplex − 1

1. Alpertron
2. Number Theory
3. Known 334-digit prime factors of googolduplex − 1

This is a list of known 334-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. 2286 9901484418 7782807668 9007750019 4009136994 1784265125 0496853076 6753172420 0200554194 9970982470 7483360072 7535629396 0487265290 0585281028 0089440975 0113029159 1219466962 1224182953 8669301516 4805678592 2051941162 9145114342 6220662252 5237520449 0817850455 6417465209 9609375000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=11)
2. 4005 5336291368 7666825536 3232411572 9260063642 3637020583 6232150527 5160386925 2366520265 8730639571 3320463753 3574081509 5810063352 8082052170 2895639322 1050990526 4114318768 4910207181 4928676713 7407056073 4213291679 2729681678 7351192962 8507449530 4535413180 5156147797 6677119894 1110523698 1096736699 6548588709 0039796021 3012993335 7238769531 2500000001 (Phil Carmody, k=477)