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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
7037726271689054304911 ~2003
703792703140758540710 ~2000
703795199140759039910 ~2000
703809257422285554310 ~2001
7038100673378288321711 ~2003
703814677422288806310 ~2001
7038250791266885142311 ~2002
7038473291689233589711 ~2003
703872083140774416710 ~2000
703888151140777630310 ~2000
703896419563117135310 ~2002
703899611563119688910 ~2002
703908497422345098310 ~2001
703918679140783735910 ~2000
7039187511267053751911 ~2002
703924271140784854310 ~2000
703948211140789642310 ~2000
703953449563162759310 ~2002
703963237422377942310 ~2001
703990121563192096910 ~2002
704032943140806588710 ~2000
704034731140806946310 ~2000
704040299140808059910 ~2000
704049971140809994310 ~2000
704060183140812036710 ~2000
Exponent Prime Factor Digits Year
704081419704081419110 ~2002
704084999140816999910 ~2000
70410462720278213257712 ~2005
7041064791689855549711 ~2003
704113031140822606310 ~2000
704120519140824103910 ~2000
704143787563315029710 ~2002
704149339704149339110 ~2002
704178179140835635910 ~2000
704181917563345533710 ~2002
7042353172112705951111 ~2003
704236451140847290310 ~2000
704244311140848862310 ~2000
704248823140849764710 ~2000
704261231140852246310 ~2000
704262203140852440710 ~2000
704264111140852822310 ~2000
704266763140853352710 ~2000
704276483140855296710 ~2000
704303053422581831910 ~2001
704316241422589744710 ~2001
704328851140865770310 ~2000
704337443140867488710 ~2000
704359703140871940710 ~2000
7043644913521822455111 ~2004
Exponent Prime Factor Digits Year
704385551140877110310 ~2000
704392121422635272710 ~2001
704408483140881696710 ~2000
704437439140887487910 ~2000
704439479140887895910 ~2000
704452439140890487910 ~2000
704477519140895503910 ~2000
704500457422700274310 ~2001
7045148271831738550311 ~2003
704557559140911511910 ~2000
704558279140911655910 ~2000
704562647563650117710 ~2002
704565971140913194310 ~2000
704600219140920043910 ~2000
704612459140922491910 ~2000
704625791140925158310 ~2000
704639483140927896710 ~2000
704642699140928539910 ~2000
704654771140930954310 ~2000
7046716912254949411311 ~2003
704681963140936392710 ~2000
704684471140936894310 ~2000
704696039140939207910 ~2000
704718383140943676710 ~2000
704741099140948219910 ~2000
Exponent Prime Factor Digits Year
704754269563803415310 ~2002
704761289563809031310 ~2002
704767559140953511910 ~2000
7047695232396216378311 ~2003
704773033422863819910 ~2001
704779703140955940710 ~2000
704787383140957476710 ~2000
704788163140957632710 ~2000
704790563140958112710 ~2000
70480227715082768727912 ~2005
704808179140961635910 ~2000
704815921422889552710 ~2001
704833463140966692710 ~2000
704852669986793736710 ~2002
704862659140972531910 ~2000
7048627012678478263911 ~2003
704904659140980931910 ~2000
704908499140981699910 ~2000
704908871140981774310 ~2000
704929271140985854310 ~2000
704929919140985983910 ~2000
704932691140986538310 ~2000
704943383140988676710 ~2000
704979503140995900710 ~2000
70498903910856831200712 ~2005
3667
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26-02-08