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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 Digits Year
2121743159424348631910 ~2004
2121819083424363816710 ~2004
2121845399424369079910 ~2004
2121877211424375442310 ~2004
21219066011273143960711 ~2005
2122113023424422604710 ~2004
2122113803424422760710 ~2004
21221395993819851278311 ~2006
21221837811273310268711 ~2005
212222676110186688452912 ~2007
21223357371697868589711 ~2005
2122361519424472303910 ~2004
21224098331273445899911 ~2005
21224355313395896849711 ~2006
2122477499424495499910 ~2004
21225779811273546788711 ~2005
2122697039424539407910 ~2004
21227076891698166151311 ~2005
2122835171424567034310 ~2004
2122835651424567130310 ~2004
2122906403424581280710 ~2004
21229122771273747366311 ~2005
21230743512123074351111 ~2006
2123191859424638371910 ~2004
21233198572972647799911 ~2006
Exponent Prime Factor Digits Year
21233519331274011159911 ~2005
2123464163424692832710 ~2004
2123538479424707695910 ~2004
2123674043424734808710 ~2004
212373450745872665351312 ~2009
212374402714016710578312 ~2008
2123752511424750502310 ~2004
21237894411274273664711 ~2005
21238018811274281128711 ~2005
2123850779424770155910 ~2004
2123861639424772327910 ~2004
21239363771274361826311 ~2005
2123940743424788148710 ~2004
2123996603424799320710 ~2004
2124042311424808462310 ~2004
21240867611274452056711 ~2005
2124098159424819631910 ~2004
21241421712124142171111 ~2006
21241672931274500375911 ~2005
21241742571274504554311 ~2005
2124196643424839328710 ~2004
2124310283424862056710 ~2004
21243177313398908369711 ~2006
212433243710196795697712 ~2007
2124336839424867367910 ~2004
Exponent Prime Factor Digits Year
21243903371274634202311 ~2005
21244486435523566471911 ~2007
21244841811699587344911 ~2005
21245269611274716176711 ~2005
2124537479424907495910 ~2004
2124581183424916236710 ~2004
2124726179424945235910 ~2004
2124871799424974359910 ~2004
2124964403424992880710 ~2004
21250036878500014748111 ~2007
2125036271425007254310 ~2004
2125084631425016926310 ~2004
2125265063425053012710 ~2004
2125290371425058074310 ~2004
2125324403425064880710 ~2004
2125361039425072207910 ~2004
2125475123425095024710 ~2004
2125544579425108915910 ~2004
2125580279425116055910 ~2004
21256049511700483960911 ~2005
2125637291425127458310 ~2004
21257114991700569199311 ~2005
21257952011275477120711 ~2005
2125870079425174015910 ~2004
2125879139425175827910 ~2004
Exponent Prime Factor Digits Year
21259186331275551179911 ~2005
2125974863425194972710 ~2004
2125998659425199731910 ~2004
21261417771700913421711 ~2005
2126259599425251919910 ~2004
21262929411275775764711 ~2005
2126305211425261042310 ~2004
2126348879425269775910 ~2004
21263494931275809695911 ~2005
2126439179425287835910 ~2004
2126596319425319263910 ~2004
21266197913827915623911 ~2006
2126627663425325532710 ~2004
21266413971275984838311 ~2005
2126658263425331652710 ~2004
2126695271425339054310 ~2004
21267155331276029319911 ~2005
21268065111701445208911 ~2005
2126930759425386151910 ~2004
2127059531425411906310 ~2004
2127150059425430011910 ~2004
21271982592127198259111 ~2006
2127222203425444440710 ~2004
21273114411276386864711 ~2005
2127394799425478959910 ~2004
3883
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25-07-20