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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
948044579189608915910 ~2001
948098171189619634310 ~2001
948113711189622742310 ~2001
948130763189626152710 ~2001
948132877568879726310 ~2002
948174061568904436710 ~2002
948176711189635342310 ~2001
948228623189645724710 ~2001
948242111189648422310 ~2001
948249433568949659910 ~2002
9482622531327567154311 ~2003
948320423189664084710 ~2001
948355703189671140710 ~2001
948472859189694571910 ~2001
948477839189695567910 ~2001
948480059189696011910 ~2001
948488903189697780710 ~2001
948507671189701534310 ~2001
948541799189708359910 ~2001
9485433175311842575311 ~2005
9485779572276587096911 ~2004
948578399189715679910 ~2001
948725587948725587110 ~2003
948764941569258964710 ~2002
948774551189754910310 ~2001
Exponent Prime Factor Digits Year
948840383189768076710 ~2001
948841559189768311910 ~2001
948928433569357059910 ~2002
948945071189789014310 ~2001
948948019948948019110 ~2003
9489589872277501568911 ~2004
9489600791708128142311 ~2003
948977651189795530310 ~2001
948997739189799547910 ~2001
949008299189801659910 ~2001
949031159189806231910 ~2001
949047959189809591910 ~2001
9491002791708380502311 ~2003
949104839189820967910 ~2001
949128779759303023310 ~2003
949143491189828698310 ~2001
949179383189835876710 ~2001
949225619189845123910 ~2001
949230599189846119910 ~2001
949253843189850768710 ~2001
949258283189851656710 ~2001
949270691189854138310 ~2001
949343819189868763910 ~2001
949369871189873974310 ~2001
949382111189876422310 ~2001
Exponent Prime Factor Digits Year
949391543189878308710 ~2001
949422203189884440710 ~2001
949425353569655211910 ~2002
949436123189887224710 ~2001
949444319189888863910 ~2001
9494684831519149572911 ~2003
949472519189894503910 ~2001
949502243189900448710 ~2001
949585801569751480710 ~2002
949597973569758783910 ~2002
949613317569767990310 ~2002
949631783189926356710 ~2001
949646363189929272710 ~2001
949660559189932111910 ~2001
949663499189932699910 ~2001
949689121569813472710 ~2002
949690843949690843110 ~2003
949723763189944752710 ~2001
949761503189952300710 ~2001
949783361759826688910 ~2003
949786499189957299910 ~2001
949844411189968882310 ~2001
949877891189975578310 ~2001
949886419949886419110 ~2003
9498879292279731029711 ~2004
Exponent Prime Factor Digits Year
949938293569962975910 ~2002
949946951189989390310 ~2001
949961531189992306310 ~2001
950044691190008938310 ~2001
950087639190017527910 ~2001
950100731190020146310 ~2001
950102831190020566310 ~2001
950108339190021667910 ~2001
9501171532280281167311 ~2004
950152213570091327910 ~2002
950169959190033991910 ~2001
950187503190037500710 ~2001
950196503190039300710 ~2001
950259671190051934310 ~2001
950284823190056964710 ~2001
950380859190076171910 ~2001
950382971190076594310 ~2001
950420951190084190310 ~2001
950422439190084487910 ~2001
950438759190087751910 ~2001
950475419190095083910 ~2001
950476937570286162310 ~2002
950478421570287052710 ~2002
950506451190101290310 ~2001
950512103190102420710 ~2001
3542
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25-07-08