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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.
Exponent Prime Factor Dig. Year
59085677394726854191311 ~2009
59086054911181721098311 ~2007
59086519431181730388711 ~2007
59089258311181785166311 ~2007
59092178511181843570311 ~2007
59094019191181880383911 ~2007
59096958613545817516711 ~2009
59097239214727779136911 ~2009
59099464373545967862311 ~2009
59103292191182065843911 ~2007
591039840113002876482312 ~2010
59104392013546263520711 ~2009
59106739911182134798311 ~2007
591070216710639263900712 ~2010
59108410311182168206311 ~2007
59110949631182218992711 ~2007
59111262111182225242311 ~2007
59113176231182263524711 ~2007
59113236973546794218311 ~2009
59116600431182332008711 ~2007
59118025733547081543911 ~2009
59118097791182361955911 ~2007
59122323111182446462311 ~2007
59122335111182446702311 ~2007
59122486973547349218311 ~2009
Exponent Prime Factor Dig. Year
59133998511182679970311 ~2007
591364381186339199640712 ~2012
59141292711182825854311 ~2007
59142261831182845236711 ~2007
59143745773548624746311 ~2009
59144952711182899054311 ~2007
59147368191182947363911 ~2007
59147552814731804224911 ~2009
59148144591182962891911 ~2007
59151157431183023148711 ~2007
59151192111183023842311 ~2007
59151201711183024034311 ~2007
59152397835915239783111 ~2009
59153127231183062544711 ~2007
59153869791183077395911 ~2007
59155979031183119580711 ~2007
59156690031183133800711 ~2007
59158397991183167959911 ~2007
591584404339044570683912 ~2011
591641742714199401824912 ~2010
59167222613550033356711 ~2009
59168532591183370651911 ~2007
59169050511183381010311 ~2007
59170123973550207438311 ~2009
59174955111183499102311 ~2007
Exponent Prime Factor Dig. Year
59177866311183557326311 ~2007
591809746913019814431912 ~2010
59182623139469219700911 ~2010
59182972431183659448711 ~2007
59185097814734807824911 ~2009
59186321511183726430311 ~2007
59186428194734914255311 ~2009
59186743431183734868711 ~2007
59186841114734947288911 ~2009
59188167591183763351911 ~2007
59192183511183843670311 ~2007
59196830394735746431311 ~2009
59197414911183948298311 ~2007
59197720733551863243911 ~2009
59199255591183985111911 ~2007
59200485733552029143911 ~2009
59200801494736064119311 ~2009
59203364031184067280711 ~2007
59205493911184109878311 ~2007
59205615294736449223311 ~2009
59206667573552400054311 ~2009
59207621031184152420711 ~2007
59208532311184170646311 ~2007
59217651231184353024711 ~2007
59218839831184376796711 ~2007
Exponent Prime Factor Dig. Year
59222257791184445155911 ~2007
59223971991184479439911 ~2007
59225248191184504963911 ~2007
59226343911184526878311 ~2007
59231949711184638994311 ~2007
59232356511184647130311 ~2007
59233019991184660399911 ~2007
59233099613553985976711 ~2009
59233255794738660463311 ~2009
59235728274738858261711 ~2009
59236250631184725012711 ~2007
59237795031184755900711 ~2007
59238561111184771222311 ~2007
59239382391184787647911 ~2007
59240775591184815511911 ~2007
59241095991184821919911 ~2007
59246738991184934779911 ~2007
59250380511185007610311 ~2007
59250975711185019514311 ~2007
59251612791185032255911 ~2007
59256860511185137210311 ~2007
59262001791185240035911 ~2007
59264188911185283778311 ~2007
592687128113039116818312 ~2010
59269273194741541855311 ~2009
4400
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25-11-02