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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
3743590211748718042310 ~2006
3743625911748725182310 ~2006
3743783831748756766310 ~2006
37437867498236330847911 ~2008
37439223892995137911311 ~2007
3744003671748800734310 ~2006
3744132299748826459910 ~2006
374415337729953227016112 ~2010
3744346943748869388710 ~2006
3744354599748870919910 ~2006
3744370319748874063910 ~2006
3744399023748879804710 ~2006
3744427523748885504710 ~2006
3744518471748903694310 ~2006
37448704873744870487111 ~2008
37450747993745074799111 ~2008
37450979332247058759911 ~2007
3745102139749020427910 ~2006
3745281971749056394310 ~2006
37458733878990096128911 ~2008
37458967998990152317711 ~2008
3745899491749179898310 ~2006
37460727193746072719111 ~2008
37463401972997072157711 ~2007
3746344139749268827910 ~2006
Exponent Prime Factor Digits Year
3746368343749273668710 ~2006
37463796532247827791911 ~2007
37463796972247827818311 ~2007
3746489111749297822310 ~2006
3746500139749300027910 ~2006
3746543159749308631910 ~2006
374658572914237025770312 ~2009
37468155592997452447311 ~2007
37469079372248144762311 ~2007
37469520292997561623311 ~2007
3747033611749406722310 ~2006
3747196391749439278310 ~2006
3747375011749475002310 ~2006
3747544331749508866310 ~2006
3747651263749530252710 ~2006
3747665819749533163910 ~2006
3747682259749536451910 ~2006
37478283412248697004711 ~2007
37480665793748066579111 ~2008
37480880812998470464911 ~2007
3748105799749621159910 ~2006
3748201559749640311910 ~2006
3748218923749643784710 ~2006
3748438931749687786310 ~2006
3748587191749717438310 ~2006
Exponent Prime Factor Digits Year
37487405992998992479311 ~2007
37487546992999003759311 ~2007
3748920671749784134310 ~2006
3748939871749787974310 ~2006
374894158923993226169712 ~2009
3748997123749799424710 ~2006
37490156812249409408711 ~2007
37491052672999284213711 ~2007
37491498438997959623311 ~2008
3749184203749836840710 ~2006
3749210099749842019910 ~2006
3749324951749864990310 ~2006
3749327243749865448710 ~2006
37493325012249599500711 ~2007
3749357543749871508710 ~2006
3749469863749893972710 ~2006
3749527031749905406310 ~2006
37498426372249905582311 ~2007
3749957663749991532710 ~2006
375002394126250167587112 ~2010
3750029891750005978310 ~2006
3750236111750047222310 ~2006
3750351023750070204710 ~2006
3750444539750088907910 ~2006
3750680183750136036710 ~2006
Exponent Prime Factor Digits Year
3750768419750153683910 ~2006
37507744993750774499111 ~2008
3750852923750170584710 ~2006
37509009972250540598311 ~2007
3750934151750186830310 ~2006
3750993839750198767910 ~2006
37510274213000821936911 ~2007
3751349639750269927910 ~2006
37516012513751601251111 ~2008
37516761012251005660711 ~2007
3751732139750346427910 ~2006
37517850913751785091111 ~2008
3751799699750359939910 ~2006
3751860971750372194310 ~2006
37521027976003364475311 ~2008
375213367317259814895912 ~2009
37521468293001717463311 ~2007
37521672972251300378311 ~2007
3752210771750442154310 ~2006
375224077311256722319112 ~2009
37523491132251409467911 ~2007
3752372159750474431910 ~2006
37523837716754290787911 ~2008
3752434223750486844710 ~2006
37526018412251561104711 ~2007
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