Known 379-digit prime factors of googolduplex − 1

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2. Number Theory
3. Known 379-digit prime factors of googolduplex − 1

This is a list of known 379-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. 113739696 1508031528 3518722106 0809741019 9911909026 5620513764 0654581395 7453723193 0415027666 7078606524 0012630519 4965150054 7164544103 4521858655 7241401365 1279291545 0892270828 6141600680 1862132563 1377598570 5995406722 4700172566 8132239747 3358048322 4050799146 8200378464 1379659078 3892392389 6318785868 5155509714 3361665666 2720242291 0987433812 8349791077 1984606981 2774658203 1250000000 0000000001 (Phil Carmody, k=61)
2. 323801628 3847336778 3632454138 7400947645 2943500092 9798122664 9317276768 2431524371 7026104958 7970378540 2688321722 5540900301 0572084453 6544415860 7656730340 9213204244 8913444473 2890814182 3425748095 6147151208 4962584414 3659396281 3418548269 8645480688 7908261388 0626998043 9713033379 8309851381 5864022413 7485574829 0428891777 9922485351 5625000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=241)