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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
299949178315998983566311 ~2013
299951173315999023466311 ~2013
299975358115999507162311 ~2013
299988764995999775299911 ~2013
3000066607930000666079112 ~2015
300029648516000592970311 ~2013
300052163996001043279911 ~2013
300065170436001303408711 ~2013
3000956299124007650392912 ~2014
300110053316002201066311 ~2013
300114968036002299360711 ~2013
3001244906924009959255312 ~2014
300166426196003328523911 ~2013
300178386596003567731911 ~2013
300193170716003863414311 ~2013
300206848916004136978311 ~2013
300209503316004190066311 ~2013
300213432116004268642311 ~2013
300222072236004441444711 ~2013
300224767796004495355911 ~2013
300225103796004502075911 ~2013
300229897196004597943911 ~2013
3002422902118014537412712 ~2014
300258070436005161408711 ~2013
300258968396005179367911 ~2013
Exponent Prime Factor Dig. Year
300273908036005478160711 ~2013
300304274396006085487911 ~2013
300317743436006354868711 ~2013
300322268636006445372711 ~2013
300344577596006891551911 ~2013
300359047796007180955911 ~2013
3003763399318022580395912 ~2014
300388674836007773496711 ~2013
300389885036007797700711 ~2013
300398859836007977196711 ~2013
300400124516008002490311 ~2013
300410622116008212442311 ~2013
3004207762118025246572712 ~2014
300425998316008519966311 ~2013
300433980236008679604711 ~2013
300442663316008853266311 ~2013
300454826996009096539911 ~2013
300474358436009487168711 ~2013
3004806187724038449501712 ~2014
300486681836009733636711 ~2013
3004904241130049042411112 ~2015
3004943266330049432663112 ~2015
300499188596009983771911 ~2013
300518768396010375367911 ~2013
3005206776148083308417712 ~2015
Exponent Prime Factor Dig. Year
3005425114118032550684712 ~2014
3005440239718032641438312 ~2014
300551197196011023943911 ~2013
300564316316011286326311 ~2013
300565601396011312027911 ~2013
300567147116011342942311 ~2013
300605913716012118274311 ~2013
3006107221124048857768912 ~2014
300631329716012626594311 ~2013
3006403753318038422519912 ~2014
3006582673724052661389712 ~2014
300665485917793...94787314 2024
300669321236013386424711 ~2013
300679396196013587923911 ~2013
300714042716014280854311 ~2013
300736822796014736455911 ~2013
300739388036014787760711 ~2013
300753338036015066760711 ~2013
300760310934228...71675914 2023
3007902459718047414758312 ~2014
300791614492382...86760914 2024
300803969036016079380711 ~2013
300806001836016120036711 ~2013
300855666116017113322311 ~2013
300856004636017120092711 ~2013
Exponent Prime Factor Dig. Year
3008588087318051528523912 ~2014
3008701476118052208856712 ~2014
300881043836017620876711 ~2013
300914174636018283492711 ~2013
300947574116018951482311 ~2013
300968426036019368520711 ~2013
300971785916019435718311 ~2013
3009799792724078398341712 ~2014
3009852058124078816464912 ~2014
300987839996019756799911 ~2013
3010149483148162391729712 ~2015
301016034596020320691911 ~2013
3010178831318061072987912 ~2014
3010190488118061142928712 ~2014
3010351924118062111544712 ~2014
3010355922148165694753712 ~2015
301050317396021006347911 ~2013
301060334036021206680711 ~2013
301083024596021660491911 ~2013
301090322516021806450311 ~2013
301095867236021917344711 ~2013
301102821716022056434311 ~2013
3011033064118066198384712 ~2014
3011055834748176893355312 ~2015
301118596196022371923911 ~2013
4719
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25-07-20