Known 366-digit prime factors of googolduplex − 1

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2. Number Theory
3. Known 366-digit prime factors of googolduplex − 1

This is a list of known 366-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. 468803 4222056205 9817444247 0984612502 9001974588 1403851338 9016459136 3336983211 2308807000 7977716086 1840357977 3713712606 6267121706 4181242635 5026654078 4406462228 1499178586 8940997033 5499465503 1639169819 9573051519 8061993942 2467723488 8076782226 5625000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=21)
2. 623791 1165611940 8046682286 9430230746 2681264215 7651485453 5519838455 4988934112 2338796575 7903466057 7861353953 0881780868 4468345006 2184579450 5268322376 9011240608 7962828708 6485509104 1843520538 8161235796 8261828174 1515405859 6216124499 2785213980 8237552642 8222656250 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000001 (Phil Carmody, k=293)