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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
56086777137852148798311 ~2009
56087588933365255335911 ~2008
56087642631121752852711 ~2007
56088228711121764574311 ~2007
56089679991121793599911 ~2007
56089969791121799395911 ~2007
560906052125801678396712 ~2011
56090882631121817652711 ~2007
56095108911121902178311 ~2007
56097118431121942368711 ~2007
560995944759465570138312 ~2011
56099991591121999831911 ~2007
56101641591122032831911 ~2007
56102728311122054566311 ~2007
561028239766201332284712 ~2012
56105269278976843083311 ~2009
56106539031122130780711 ~2007
56107784991122155699911 ~2007
56108624031122172480711 ~2007
56111686791122233735911 ~2007
56113600431122272008711 ~2007
56114095191122281903911 ~2007
56114975391122299507911 ~2007
56115482238978477156911 ~2009
56116149733366968983911 ~2008
Exponent Prime Factor Dig. Year
56118651773367119106311 ~2008
56120039235612003923111 ~2009
56121723438979475748911 ~2009
56122589991122451799911 ~2007
56122631031122452620711 ~2007
56123708391122474167911 ~2007
56124579018979932641711 ~2009
56124652191122493043911 ~2007
56125957431122519148711 ~2007
56126806573367608394311 ~2008
56127317391122546347911 ~2007
56129429031122588580711 ~2007
56130621111122612422311 ~2007
561307642116839229263112 ~2010
56131546911122630938311 ~2007
561325966926943646411312 ~2011
561366157730313772515912 ~2011
56137110733368226643911 ~2008
56139514191122790283911 ~2007
56144833133368689987911 ~2008
56147586831122951736711 ~2007
56147681631122953632711 ~2007
56148937311122978746311 ~2007
56149131733368947903911 ~2008
56151199431123023988711 ~2007
Exponent Prime Factor Dig. Year
56152566533369153991911 ~2008
56155352391123107047911 ~2007
56156353791123127075911 ~2007
56157238311123144766311 ~2007
561582628912354817835912 ~2010
56158685391123173707911 ~2007
56164330074493146405711 ~2009
56165403831123308076711 ~2007
56168387391123367747911 ~2007
56171141173370268470311 ~2008
56171520831123430416711 ~2007
56172719214493817536911 ~2009
56173111311123462226311 ~2007
56174199711123483994311 ~2007
56174219333370453159911 ~2008
56176721391123534427911 ~2007
56178228231123564564711 ~2007
56178266991123565339911 ~2007
56178515391123570307911 ~2007
56179243573370754614311 ~2008
56180023191123600463911 ~2007
56182765974494621277711 ~2009
561835499313484051983312 ~2010
56185699191123713983911 ~2007
56186251911123725038311 ~2007
Exponent Prime Factor Dig. Year
56187592911123751858311 ~2007
56188888314495111064911 ~2009
56189469231123789384711 ~2007
56191229631123824592711 ~2007
56192400075619240007111 ~2009
56194089373371645362311 ~2008
56195054031123901080711 ~2007
56195689191123913783911 ~2007
56196289573371777374311 ~2008
56196717413371803044711 ~2008
561976948710115585076712 ~2010
56198506791123970135911 ~2007
56205029031124100580711 ~2007
56208896991124177939911 ~2007
56210527431124210548711 ~2007
56211608511124232170311 ~2007
56215113831124302276711 ~2007
56216745111124334902311 ~2007
56218484511124369690311 ~2007
562188014913492512357712 ~2010
56221723791124434475911 ~2007
56222201391124444027911 ~2007
56224645791124492915911 ~2007
56225929813373555788711 ~2008
56227249791124544995911 ~2007
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