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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
50668546311013370926311 ~2007
50670673674053653893711 ~2008
50672769831013455396711 ~2007
50676143991013522879911 ~2007
50677236231013544724711 ~2007
50681686674054534933711 ~2008
50683558791013671175911 ~2007
50683650591013673011911 ~2007
50687554374055004349711 ~2008
506883649921289113295912 ~2010
50688957591013779151911 ~2007
50692267638110762820911 ~2009
50693546511013870930311 ~2007
50694591591013891831911 ~2007
50695526991013910539911 ~2007
50697181974055774557711 ~2008
506977767712167466424912 ~2009
506982173912167572173712 ~2009
50699495391013989907911 ~2007
506999377128391965117712 ~2010
50701904173042114250311 ~2008
50702217114056177368911 ~2008
50703111111014062222311 ~2007
50704224111014084482311 ~2007
50704227231014084544711 ~2007
Exponent Prime Factor Dig. Year
50707222311014144446311 ~2007
50709398991014187979911 ~2007
50717934831014358696711 ~2007
50720306814057624544911 ~2008
50722624933043357495911 ~2008
50722633311014452666311 ~2007
50722926773043375606311 ~2008
50723948631014478972711 ~2007
50726694711014533894311 ~2007
50727053333043623199911 ~2008
50727233991014544679911 ~2007
507276556724349274721712 ~2010
50730229191014604583911 ~2007
50730878631014617572711 ~2007
50732864991014657299911 ~2007
50733812115073381211111 ~2009
50734422591014688451911 ~2007
50734834911014696698311 ~2007
50736899631014737992711 ~2007
50738536494059082919311 ~2008
50740007694059200615311 ~2008
50740122111014802442311 ~2007
50741469231014829384711 ~2007
50743311231014866224711 ~2007
50743549311014870986311 ~2007
Exponent Prime Factor Dig. Year
50744473733044668423911 ~2008
50751048973045062938311 ~2008
50751481311015029626311 ~2007
50754228711015084574311 ~2007
50756121973045367318311 ~2008
50758604511015172090311 ~2007
50761859031015237180711 ~2007
50766989991015339799911 ~2007
50770322631015406452711 ~2007
50770948311015418966311 ~2007
50772337275077233727111 ~2009
50773559631015471192711 ~2007
50775337311015506746311 ~2007
50775776274062062101711 ~2008
50777639631015552792711 ~2007
50784419391015688387911 ~2007
50786607591015732151911 ~2007
50788119711015762394311 ~2007
50788208235078820823111 ~2009
50788235511015764710311 ~2007
50788240614063059248911 ~2008
50790658911015813178311 ~2007
50797161711015943234311 ~2007
50798068013047884080711 ~2008
50800104591016002091911 ~2007
Exponent Prime Factor Dig. Year
50801180631016023612711 ~2007
50801571231016031424711 ~2007
50802336111016046722311 ~2007
50803929831016078596711 ~2007
50805141111016102822311 ~2007
50806970478129115275311 ~2009
50807383431016147668711 ~2007
50808055311016161106311 ~2007
50808640515080864051111 ~2009
50808812031016176240711 ~2007
50809119711016182394311 ~2007
50811518333048691099911 ~2008
50812840733048770443911 ~2008
50813363991016267279911 ~2007
50814204831016284096711 ~2007
50815694031016313880711 ~2007
50816877711016337554311 ~2007
50820030711016400614311 ~2007
50820571911016411438311 ~2007
50821360191016427203911 ~2007
50824173111016483462311 ~2007
50826854031016537080711 ~2007
50830168914066413512911 ~2008
50830388391016607767911 ~2007
50833486311016669726311 ~2007
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25-04-13