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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
51711502791034230055911 ~2007
51712093311034241866311 ~2007
51712537791034250755911 ~2007
51713831031034276620711 ~2007
51713999631034279992711 ~2007
51715164594137213167311 ~2008
51715959414137276752911 ~2008
51716869791034337395911 ~2007
51717418911034348378311 ~2007
51717769191034355383911 ~2007
51718032714137442616911 ~2008
51719218191034384363911 ~2007
51719639391034392787911 ~2007
51719749431034394988711 ~2007
51722275791034445515911 ~2007
51722596431034451928711 ~2007
51723488031034469760711 ~2007
51723740991034474819911 ~2007
51724659831034493196711 ~2007
51727674733103660483911 ~2008
51729334431034586688711 ~2007
51733813191034676263911 ~2007
51733984279312117168711 ~2009
51734762631034695252711 ~2007
51739752591034795051911 ~2007
Exponent Prime Factor Dig. Year
51742513911034850278311 ~2007
51743355711034867114311 ~2007
51743666778278986683311 ~2009
51750281391035005627911 ~2007
51750363711035007274311 ~2007
51750500173105030010311 ~2008
51751232031035024640711 ~2007
51751303911035026078311 ~2007
51751318275175131827111 ~2009
51751369431035027388711 ~2007
51752728911035054578311 ~2007
51753030373105181822311 ~2008
51754849911035096998311 ~2007
51757759311035155186311 ~2007
51757800591035156011911 ~2007
51761570333105694219911 ~2008
51763093573105785614311 ~2008
51763545231035270904711 ~2007
51763679391035273587911 ~2007
51763705613105822336711 ~2008
51764252031035285040711 ~2007
51766062774141285021711 ~2008
51766382511035327650311 ~2007
51766859813106011588711 ~2008
51766904994141352399311 ~2008
Exponent Prime Factor Dig. Year
51766945431035338908711 ~2007
51769578111035391562311 ~2007
51769770831035395416711 ~2007
51770459715177045971111 ~2009
51770777991035415559911 ~2007
51772789133106367347911 ~2008
51773742111035474842311 ~2007
51774852591035497051911 ~2007
51776817591035536351911 ~2007
51777216315177721631111 ~2009
51779246933106754815911 ~2008
51782550315178255031111 ~2009
51783016791035660335911 ~2007
51785104431035702088711 ~2007
51787394631035747892711 ~2007
51791312991035826259911 ~2007
51792041813107522508711 ~2008
517928923323824730471912 ~2010
51793457631035869152711 ~2007
51793933431035878668711 ~2007
51796028391035920567911 ~2007
51798190191035963803911 ~2007
51799772511035995450311 ~2007
51802354911036047098311 ~2007
51804159231036083184711 ~2007
Exponent Prime Factor Dig. Year
51805396311036107926311 ~2007
51805573791036111475911 ~2007
51810206391036204127911 ~2007
51812063413108723804711 ~2008
51812749791036254995911 ~2007
51813789719326482147911 ~2009
51814164831036283296711 ~2007
51819030173109141810311 ~2008
51820249431036404988711 ~2007
51820324191036406483911 ~2007
51820628813109237728711 ~2008
51828164511036563290311 ~2007
51828380333109702819911 ~2008
51829019391036580387911 ~2007
51829205933109752355911 ~2008
51832550391036651007911 ~2007
51833521311036670426311 ~2007
51840345711036806914311 ~2007
51845468814147637504911 ~2008
51846643791036932875911 ~2007
51846825711036936514311 ~2007
51846826311036936526311 ~2007
51847903791036958075911 ~2007
518493701962219244228112 ~2011
51851070173111064210311 ~2008
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26-01-11