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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
75003802134500228127911 ~2009
75005662311500113246311 ~2008
75006340191500126803911 ~2008
75007537911500150758311 ~2008
75007837431500156748711 ~2008
75008990511500179810311 ~2008
75009590174500575410311 ~2009
75011024031500220480711 ~2008
75014871831500297436711 ~2008
75015255231500305104711 ~2008
750155238112002483809712 ~2010
75015662031500313240711 ~2008
75020524431500410488711 ~2008
75021593631500431872711 ~2008
75024692031500493840711 ~2008
75025151774501509106311 ~2009
75029140911500582818311 ~2008
75030951231500619024711 ~2008
75032704311500654086311 ~2008
75033532676002682613711 ~2010
75035575911500711518311 ~2008
75038581431500771628711 ~2008
75040543311500810866311 ~2008
750406542712006504683312 ~2010
75040836231500816724711 ~2008
Exponent Prime Factor Dig. Year
75044860791500897215911 ~2008
75048026816003842144911 ~2010
75053632911501072658311 ~2008
75054113631501082272711 ~2008
75055646391501112927911 ~2008
75056212934503372775911 ~2009
75063937311501278746311 ~2008
75065960631501319212711 ~2008
75067527831501350556711 ~2008
75069592311501391846311 ~2008
75074006477507400647111 ~2010
75081217934504873075911 ~2009
75082989374504979362311 ~2009
75083631116006690488911 ~2010
75084194031501683880711 ~2008
75084837111501696742311 ~2008
75086288991501725779911 ~2008
75087080934505224855911 ~2009
75093896031501877920711 ~2008
75100617591502012351911 ~2008
75101871831502037436711 ~2008
75108527991502170559911 ~2008
751097786910515369016712 ~2010
75111092991502221859911 ~2008
75111602276008928181711 ~2010
Exponent Prime Factor Dig. Year
75111761031502235220711 ~2008
75112611711502252234311 ~2008
75114565311502291306311 ~2008
75114577311502291546311 ~2008
75118476711502369534311 ~2008
75119350311502387006311 ~2008
75119890311502397806311 ~2008
751200483112019207729712 ~2010
75126799311502535986311 ~2008
75128963991502579279911 ~2008
75132485216010598816911 ~2010
75141586431502831728711 ~2008
75143617191502872343911 ~2008
75144788414508687304711 ~2009
75146131431502922628711 ~2008
75146243031502924860711 ~2008
75151407711503028154311 ~2008
75153030111503060602311 ~2008
75154632111503092642311 ~2008
75155824616012465968911 ~2010
75157575231503151504711 ~2008
75157597397515759739111 ~2010
75159067911503181358311 ~2008
75164383791503287675911 ~2008
75174304911503486098311 ~2008
Exponent Prime Factor Dig. Year
751776511316539083248712 ~2011
75179300991503586019911 ~2008
75183448376014675869711 ~2010
75185077191503701543911 ~2008
75187460991503749219911 ~2008
75188408534511304511911 ~2009
75189657716015172616911 ~2010
75193632831503872656711 ~2008
75196564911503931298311 ~2008
75199606014511976360711 ~2009
75200719311504014386311 ~2008
75202660791504053215911 ~2008
75203433197520343319111 ~2010
75215893911504317878311 ~2008
75218543031504370860711 ~2008
75218564574513113874311 ~2009
75219748791504394975911 ~2008
75222789374513367362311 ~2009
75223461591504469231911 ~2008
75226319391504526387911 ~2008
75228527631504570552711 ~2008
75236470311504729406311 ~2008
75244466696019557335311 ~2010
75246373911504927478311 ~2008
75249128031504982560711 ~2008
4284
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25-06-29