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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
70238525511404770510311 ~2008
702406786311238508580912 ~2010
70241671191404833423911 ~2008
70242213711404844274311 ~2008
70242323391404846467911 ~2008
70243541631404870832711 ~2008
70244968191404899363911 ~2008
70246497831404929956711 ~2008
70248397431404967948711 ~2008
70248660711404973214311 ~2008
70251043431405020868711 ~2008
70253071997025307199111 ~2010
70255501311405110026311 ~2008
70255667031405113340711 ~2008
70257191991405143839911 ~2008
70258971711405179434311 ~2008
70259206191405184123911 ~2008
70264977711405299554311 ~2008
70265675631405313512711 ~2008
70277969597027796959111 ~2010
70278755214216725312711 ~2009
70279043334216742599911 ~2009
70281541791405630835911 ~2008
70285400631405708012711 ~2008
70288706031405774120711 ~2008
Exponent Prime Factor Dig. Year
70300590591406011811911 ~2008
70304456991406089139911 ~2008
70308273614218496416711 ~2009
703085116716874042800912 ~2011
70309963191406199263911 ~2008
70315252334218915139911 ~2009
70319580231406391604711 ~2008
703207428121096222843112 ~2011
70321722974219303378311 ~2009
70323429231406468584711 ~2008
70327570734219654243911 ~2009
703340884350640543669712 ~2012
70336248895626899911311 ~2009
70337943014220276580711 ~2009
70339537431406790748711 ~2008
70341048591406820971911 ~2008
70343180511406863610311 ~2008
70343894031406877880711 ~2008
70344504614220670276711 ~2009
70345647231406912944711 ~2008
70346562591406931251911 ~2008
70348297791406965955911 ~2008
70349937534220996251911 ~2009
70352662915628213032911 ~2009
70355454831407109096711 ~2008
Exponent Prime Factor Dig. Year
70358857431407177148711 ~2008
70359932031407198640711 ~2008
70368150774222089046311 ~2009
70370112374222206742311 ~2009
70377172791407543455911 ~2008
70377345231407546904711 ~2008
70378335774222700146311 ~2009
70382080311407641606311 ~2008
70382087631407641752711 ~2008
70385512911407710258311 ~2008
70386982374223218942311 ~2009
70388151591407763031911 ~2008
70390284591407805691911 ~2008
70392618711407852374311 ~2008
70395977511407919550311 ~2008
70397430591407948611911 ~2008
70403691437040369143111 ~2010
70404084715632326776911 ~2009
70409791191408195823911 ~2008
70414079174224844750311 ~2009
70416871431408337428711 ~2008
70416978134225018687911 ~2009
70422321295633785703311 ~2009
70423113774225386826311 ~2009
70424754317042475431111 ~2010
Exponent Prime Factor Dig. Year
70434414231408688284711 ~2008
70435505991408710119911 ~2008
70436698191408733963911 ~2008
70439204511408784090311 ~2008
70441661237044166123111 ~2010
70442546631408850932711 ~2008
70443795974226627758311 ~2009
70444347591408886951911 ~2008
70448983311408979666311 ~2008
70449086031408981720711 ~2008
70449286791408985735911 ~2008
70449480231408989604711 ~2008
70450400031409008000711 ~2008
70450782231409015644711 ~2008
70453390431409067808711 ~2008
70453690311409073806311 ~2008
70456964991409139299911 ~2008
70460298831409205976711 ~2008
70461334911409226698311 ~2008
70479107031409582140711 ~2008
70479697814228781868711 ~2009
70487334231409746684711 ~2008
704884738311278155812912 ~2010
70488810614229328636711 ~2009
70489270311409785406311 ~2008
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25-04-13