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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 Digits Year
1115258099223051619910 ~2002
1115261879223052375910 ~2002
1115296163223059232710 ~2002
1115297201892237760910 ~2003
1115349299223069859910 ~2002
1115359139223071827910 ~2002
1115394257892315405710 ~2003
1115466323223093264710 ~2002
1115483123223096624710 ~2002
1115512093669307255910 ~2003
1115540291223108058310 ~2002
1115600273669360163910 ~2003
1115631971223126394310 ~2002
1115683139223136627910 ~2002
1115716139223143227910 ~2002
11157203693347161107111 ~2005
1115770451223154090310 ~2002
1115795341669477204710 ~2003
1115800247892640197710 ~2003
1115805851223161170310 ~2002
1115853059223170611910 ~2002
1115916611223183322310 ~2002
1115995511223199102310 ~2002
11160517372678524168911 ~2004
1116087611223217522310 ~2002
Exponent Prime Factor Digits Year
1116092639223218527910 ~2002
1116153191223230638310 ~2002
1116188219223237643910 ~2002
1116192719223238543910 ~2002
1116201371223240274310 ~2002
1116204101669722460710 ~2003
1116220811223244162310 ~2002
11162252471785960395311 ~2004
1116249551223249910310 ~2002
11163486891562888164711 ~2004
111638780327016584832712 ~2007
11164024394465609756111 ~2005
1116514103223302820710 ~2002
1116542761669925656710 ~2003
1116547823223309564710 ~2002
1116552179223310435910 ~2002
11165547433796286126311 ~2005
1116581951223316390310 ~2002
1116628979223325795910 ~2002
1116648443223329688710 ~2002
1116719693670031815910 ~2003
1116727259223345451910 ~2002
11167462873796937375911 ~2005
1116752639893402111310 ~2003
1116756671223351334310 ~2002
Exponent Prime Factor Digits Year
11167603571786816571311 ~2004
1116787571223357514310 ~2002
1116825431223365086310 ~2002
11168286771563560147911 ~2004
1116832397893465917710 ~2003
1116833771223366754310 ~2002
1116845581670107348710 ~2003
1116849361670109616710 ~2003
1116903971223380794310 ~2002
1116989173670193503910 ~2003
11170000194691400079911 ~2005
1117012973670207783910 ~2003
1117020791223404158310 ~2002
1117025051223405010310 ~2002
1117027811223405562310 ~2002
1117046717893637373710 ~2003
1117048319223409663910 ~2002
1117072283223414456710 ~2002
1117111571223422314310 ~2002
1117127279223425455910 ~2002
1117129859223425971910 ~2002
1117149359223429871910 ~2002
11172337031787573924911 ~2004
11172437392681384973711 ~2004
1117296443223459288710 ~2002
Exponent Prime Factor Digits Year
1117346057670407634310 ~2003
1117424597670454758310 ~2003
1117424831223484966310 ~2002
1117438093670462855910 ~2003
1117462331223492466310 ~2002
1117483931223496786310 ~2002
1117495451223499090310 ~2002
1117552679223510535910 ~2002
11176009731564641362311 ~2004
1117614623223522924710 ~2002
11176443011788230881711 ~2004
1117651919223530383910 ~2002
11176625711117662571111 ~2003
1117708583223541716710 ~2002
11177208533353162559111 ~2005
1117725737670635442310 ~2003
11177740014247541203911 ~2005
1117825799223565159910 ~2002
1117828499223565699910 ~2002
1117832003223566400710 ~2002
1117836983223567396710 ~2002
1117839119223567823910 ~2002
1117903439223580687910 ~2002
1117904363223580872710 ~2002
1117914719223582943910 ~2002
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