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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
832100837665680669710 ~2002
832105679166421135910 ~2001
832141991166428398310 ~2001
832179851166435970310 ~2001
832212539166442507910 ~2001
832218899166443779910 ~2001
832245383166449076710 ~2001
832301243166460248710 ~2001
832346521499407912710 ~2002
832354931166470986310 ~2001
8323593613329437444111 ~2004
832413107665930485710 ~2002
832421123166484224710 ~2001
832430531166486106310 ~2001
832439651166487930310 ~2001
832462999832462999110 ~2002
832465631166493126310 ~2001
832502591166500518310 ~2001
832515863166503172710 ~2001
832520471166504094310 ~2001
832532951166506590310 ~2001
832573751166514750310 ~2001
832609021499565412710 ~2002
832609259166521851910 ~2001
832616003166523200710 ~2001
Exponent Prime Factor Digits Year
832617683166523536710 ~2001
832650179166530035910 ~2001
832661699166532339910 ~2001
832682699166536539910 ~2001
832691317499614790310 ~2002
8326988173330795268111 ~2004
832706279166541255910 ~2001
832728311166545662310 ~2001
832754711166550942310 ~2001
832790663166558132710 ~2001
832791761666233408910 ~2002
832794863166558972710 ~2001
832855979166571195910 ~2001
8328895791499201242311 ~2003
832922591166584518310 ~2001
832929899166585979910 ~2001
832941359166588271910 ~2001
832946459166589291910 ~2001
832951153499770691910 ~2002
832953113499771867910 ~2002
832956359166591271910 ~2001
832958279166591655910 ~2001
833004581499802748710 ~2002
833011031166602206310 ~2001
833017583166603516710 ~2001
Exponent Prime Factor Digits Year
833022479166604495910 ~2001
8330323676664258936111 ~2005
833033951166606790310 ~2001
833036179833036179110 ~2002
8330707271332913163311 ~2003
833080103166616020710 ~2001
833084579166616915910 ~2001
833085443166617088710 ~2001
833097059166619411910 ~2001
833107883166621576710 ~2001
833109659166621931910 ~2001
833181659166636331910 ~2001
833189471166637894310 ~2001
833194163166638832710 ~2001
833207789666566231310 ~2002
833226203166645240710 ~2001
833232481499939488710 ~2002
833243003166648600710 ~2001
833247697499948618310 ~2002
833265683166653136710 ~2001
8332688571999845256911 ~2003
833311691166662338310 ~2001
833330639166666127910 ~2001
8333350311500003055911 ~2003
833342401500005440710 ~2002
Exponent Prime Factor Digits Year
833352419166670483910 ~2001
833353259166670651910 ~2001
833366603166673320710 ~2001
833375423166675084710 ~2001
833379383166675876710 ~2001
833384459166676891910 ~2001
833403731166680746310 ~2001
83340724746670805832112 ~2007
8334077231333452356911 ~2003
8334132471500143844711 ~2003
8334490271333518443311 ~2003
833449363833449363110 ~2002
833466083166693216710 ~2001
833483363166696672710 ~2001
833490011166698002310 ~2001
8334955871333592939311 ~2003
8334958332500487499111 ~2004
833516459166703291910 ~2001
833518379166703675910 ~2001
833522057666817645710 ~2002
8335381432000491543311 ~2003
833540909666832727310 ~2002
833547133500128279910 ~2002
833551583166710316710 ~2001
833580817500148490310 ~2002
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