Known 280-digit prime factors of googolduplex − 1

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2. Number Theory
3. Known 280-digit prime factors of googolduplex − 1

This is a list of known 280-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. 1158567232 1704465678 5398673108 6245340058 0767727545 6946119902 5681708008 0509185791 0156250000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=77)
2. 2108439588 6461046448 6971481025 4003801541 9922764737 0151001555 2605021628 8581939519 1845007507 4089914117 8126336166 8607169521 4110131578 8163932357 5512787525 8319036788 6345484293 9972877502 4414062500 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
3. 5820766091 3467407226 5625000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=1)
4. 8959095574 1683509593 9978381784 9953048429 7683103114 9545632857 7138866467 0898671314 3803967863 8368130812 9058600181 0636567828 6531451464 0251119976 2371455399 8858300361 9174726392 4801958356 8805046525 0853449106 2164306640 6250000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=73)