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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exp. Prime Factor Digits Year
8233453494007198 ~1986
8233679164673598 ~1985
8233937494036238 ~1986
82339494446332479 ~1988
8234123164682478 ~1985
8234141494048478 ~1986
8234279164685598 ~1985
8234321658745698 ~1986
8234711164694238 ~1985
8234921494095278 ~1986
8235323164706478 ~1985
8235371658829698 ~1986
8235433494125998 ~1986
8235791164715838 ~1985
8235881658870498 ~1986
8236031164720638 ~1985
8236057494163438 ~1986
8236103164722078 ~1985
8236133494167998 ~1986
8236181658894498 ~1986
8236271658901698 ~1986
8236337494180238 ~1986
8236379164727598 ~1985
8236451164729038 ~1985
8236499658919938 ~1986
Exp. Prime Factor Digits Year
8236583164731678 ~1985
8236637494198238 ~1986
8236801494208078 ~1986
8236883164737678 ~1985
8237063164741278 ~1985
8237137494228238 ~1986
8237303164746078 ~1985
8237417494245038 ~1986
8237497494249838 ~1986
82384931812468479 ~1988
8239019164780398 ~1985
8239151164783038 ~1985
8239513494370798 ~1986
8239571164791438 ~1985
8239631164792638 ~1985
8239879823987918 ~1987
8240339164806798 ~1985
8240621494437278 ~1986
8240663164813278 ~1985
8240753494445198 ~1986
8240759164815198 ~1985
8241131659290498 ~1986
82411311483403599
82411431977874339 ~1988
8241601494496078 ~1986
Exp. Prime Factor Digits Year
8241901494514078 ~1986
8241911164838238 ~1985
82419311318708979 ~1987
8242361659388898 ~1986
8242571164851438 ~1985
8242631164852638 ~1985
82428771154002799 ~1987
8242933494575998 ~1986
8243099164861998 ~1985
8243681494620878 ~1986
8244083164881678 ~1985
8244191164883838 ~1985
8244611164892238 ~1985
8244757494685438 ~1986
82449113462862639 ~1988
8244989659599138 ~1986
8245033494701998 ~1986
8245199659615938 ~1986
8245241494714478 ~1986
8245319659625538 ~1986
8245343164906878 ~1985
8245409659632738 ~1986
8245631164912638 ~1985
82459271484266879 ~1987
8246039164920798 ~1985
Exp. Prime Factor Digits Year
8246081494764878 ~1986
8246363164927278 ~1985
8246599824659918 ~1987
8246681494800878 ~1986
8246951164939038 ~1985
8247077494824638 ~1986
8247203164944078 ~1985
8247359164947198 ~1985
8247517494851038 ~1986
8247557494853438 ~1986
8247923164958478 ~1985
8248027824802718 ~1987
8248301494898078 ~1986
8248739164974798 ~1985
8248763164975278 ~1985
82489573794520239 ~1988
8249119133635727910 ~1990
8249177494950638 ~1986
8249183164983678 ~1985
8249533494971998 ~1986
8249597494975838 ~1986
82495971979903299
8249711164994238 ~1985
82499777919977939 ~1989
8250133495007998 ~1986
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