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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
70781715591415634311911 ~2008
707820456111325127297712 ~2010
70783434111415668682311 ~2008
70785460431415709208711 ~2008
70788687179910416203911 ~2010
707902571316989661711312 ~2011
70793458791415869175911 ~2008
70795074711415901494311 ~2008
70799553475663964277711 ~2009
708021325112744383851912 ~2010
70803578334248214699911 ~2009
70804387675664351013711 ~2009
70804651791416093035911 ~2008
70804696191416093923911 ~2008
70806586037080658603111 ~2010
70807352939913029410311 ~2010
70808486597080848659111 ~2010
708085020115577870442312 ~2010
70808765031416175300711 ~2008
70811612031416232240711 ~2008
70811699511416233990311 ~2008
708130203721243906111112 ~2011
70813024214248781452711 ~2009
70817323191416346463911 ~2008
708173785112747128131912 ~2010
Exponent Prime Factor Dig. Year
70818220191416364403911 ~2008
70818291711416365834311 ~2008
70819114911416382298311 ~2008
70821878597082187859111 ~2010
70822124991416442499911 ~2008
70829758311416595166311 ~2008
70832734791416654695911 ~2008
70833300711416666014311 ~2008
70833616191416672323911 ~2008
70838183631416763672711 ~2008
70838783031416775660711 ~2008
70839927591416798551911 ~2008
70840886031416817720711 ~2008
70842668031416853360711 ~2008
70846829031416936580711 ~2008
70852150191417043003911 ~2008
70852674111417053482311 ~2008
70853743431417074868711 ~2008
70855025515668402040911 ~2009
708557029315588254644712 ~2010
70857692414251461544711 ~2009
70859150991417183019911 ~2008
708593233112754678195912 ~2010
70859419311417188386311 ~2008
70862032911417240658311 ~2008
Exponent Prime Factor Dig. Year
70863885534251833131911 ~2009
70866222734251973363911 ~2009
70867183075669374645711 ~2009
70869086174252145170311 ~2009
70871788311417435766311 ~2008
70874167791417483355911 ~2008
70874403231417488064711 ~2008
70879040511417580810311 ~2008
70883351511417667030311 ~2008
70883384031417667680711 ~2008
70887113214253226792711 ~2009
70891064991417821299911 ~2008
70894782111417895642311 ~2008
70895982774253758966311 ~2009
708985798915597687575912 ~2010
70905702414254342144711 ~2009
70912327191418246543911 ~2008
70913113934254786835911 ~2009
70913907591418278151911 ~2008
70918369191418367383911 ~2008
70920109495673608759311 ~2009
709257221317022173311312 ~2011
70926117231418522344711 ~2008
70928513991418570279911 ~2008
70931501991418630039911 ~2008
Exponent Prime Factor Dig. Year
70931775231418635504711 ~2008
709335086335466754315112 ~2011
70933629591418672591911 ~2008
70937178591418743571911 ~2008
70941750591418835011911 ~2008
70944424791418888495911 ~2008
70945646631418912932711 ~2008
70948165014256889900711 ~2009
70950805374257048322311 ~2009
70951158711419023174311 ~2008
70955929791419118595911 ~2008
709599813151091186543312 ~2012
70962275031419245500711 ~2008
70964546395677163711311 ~2009
70965060415677204832911 ~2009
70966638591419332771911 ~2008
70972740111419454802311 ~2008
70973203191419464063911 ~2008
70973784174258427050311 ~2009
70974415311419488306311 ~2008
70974541311419490826311 ~2008
709839240712777106332712 ~2010
70988438631419768772711 ~2008
70988936991419778739911 ~2008
70989915414259394924711 ~2009
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