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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
75101871831502037436711 ~2008
751097786910515369016712 ~2010
75111092991502221859911 ~2008
75111602276008928181711 ~2010
75111761031502235220711 ~2008
75112611711502252234311 ~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
75154632111503092642311 ~2008
75155824616012465968911 ~2010
75157575231503151504711 ~2008
75157597397515759739111 ~2010
75159067911503181358311 ~2008
Exponent Prime Factor Dig. Year
75164383791503287675911 ~2008
75174304911503486098311 ~2008
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
Exponent Prime Factor Dig. Year
75246373911504927478311 ~2008
75249128031504982560711 ~2008
752541847710535585867912 ~2010
75254600511505092010311 ~2008
75256771431505135428711 ~2008
75258995391505179907911 ~2008
75259412996020753039311 ~2010
75259839317525983931111 ~2010
75262151334515729079911 ~2009
75264054591505281091911 ~2008
75266417511505328350311 ~2008
75276106791505522135911 ~2008
752825266312045204260912 ~2010
75285115791505702315911 ~2008
75288598374517315902311 ~2009
75288917031505778340711 ~2008
75297018591505940371911 ~2008
75301210311506024206311 ~2008
75303103791506062075911 ~2008
75304381374518262882311 ~2009
75307018191506140363911 ~2008
753106787913555922182312 ~2010
753138373312050213972912 ~2010
75315998511506319970311 ~2008
75321250676025700053711 ~2010
Exponent Prime Factor Dig. Year
75323833431506476668711 ~2008
75324170991506483419911 ~2008
75326814831506536296711 ~2008
753292865318079028767312 ~2011
75331964391506639287911 ~2008
75334448717533444871111 ~2010
75334894791506697895911 ~2008
75334984311506699686311 ~2008
75337469391506749387911 ~2008
75338700614520322036711 ~2009
75339984711506799694311 ~2008
75350963334521057799911 ~2009
75353235711507064714311 ~2008
75353531814521211908711 ~2009
75356112831507122256711 ~2008
75358589031507171780711 ~2008
75360068511507201370311 ~2008
75360962991507219259911 ~2008
75370766631507415332711 ~2008
75371543511507430870311 ~2008
753734593113567222675912 ~2010
75373747076029899765711 ~2010
75376173711507523474311 ~2008
75377287431507545748711 ~2008
75380480511507609610311 ~2008
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25-04-13