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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
832956359166591271910 ~2001
832958279166591655910 ~2001
833011031166602206310 ~2001
833017583166603516710 ~2001
833022479166604495910 ~2001
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
Exponent Prime Factor Digits Year
833330639166666127910 ~2001
8333350311500003055911 ~2003
833342401500005440710 ~2002
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
Exponent Prime Factor Digits Year
833547133500128279910 ~2002
833551583166710316710 ~2001
833580817500148490310 ~2002
833640383166728076710 ~2001
833643197500185918310 ~2002
833679839166735967910 ~2001
833690017500214010310 ~2002
8336976471500655764711 ~2003
833705711166741142310 ~2001
833707153500224291910 ~2002
833716021500229612710 ~2002
833767391166753478310 ~2001
833769731166753946310 ~2001
833804519166760903910 ~2001
8338126271334100203311 ~2003
833859157500315494310 ~2002
833860169667088135310 ~2002
833863799166772759910 ~2001
833865077500319046310 ~2002
833899679166779935910 ~2001
833913337500348002310 ~2002
833931383166786276710 ~2001
833948939166789787910 ~2001
833956703166791340710 ~2001
833993603166798720710 ~2001
Exponent Prime Factor Digits Year
834018233500410939910 ~2002
834037751166807550310 ~2001
8340643678674269416911 ~2005
834101771166820354310 ~2001
834113941500468364710 ~2002
834133901500480340710 ~2002
834139343166827868710 ~2001
834150563166830112710 ~2001
834151133500490679910 ~2002
834167123166833424710 ~2001
834180553500508331910 ~2002
834219623166843924710 ~2001
834231011166846202310 ~2001
834253103166850620710 ~2001
834280379166856075910 ~2001
834283199667426559310 ~2002
834288097500572858310 ~2002
8342926072169160778311 ~2003
834294179166858835910 ~2001
834323771166864754310 ~2001
834324299166864859910 ~2001
834329423166865884710 ~2001
834336851166867370310 ~2001
834348659166869731910 ~2001
834378899166875779910 ~2001
3486
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25-07-08