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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 Dig. Year
56404065111128081302311 ~2007
564065701913537576845712 ~2010
56408462511128169250311 ~2007
56409174231128183484711 ~2007
56409884991128197699911 ~2007
56411219031128224380711 ~2007
56411834031128236680711 ~2007
56413215831128264316711 ~2007
56413692711128273854311 ~2007
56417565111128351302311 ~2007
56418058911128361178311 ~2007
56418519831128370396711 ~2007
56420096031128401920711 ~2007
56422586511128451730311 ~2007
56427160911128543218311 ~2007
56427853911128557078311 ~2007
564286567312414304480712 ~2010
56429299911128585998311 ~2007
56431504311128630086311 ~2007
56432395791128647915911 ~2007
564342297110158161347912 ~2010
56435451773386127106311 ~2008
56435839191128716783911 ~2007
56438160231128763204711 ~2007
56438468991128769379911 ~2007
Exponent Prime Factor Dig. Year
56439568911128791378311 ~2007
56440582791128811655911 ~2007
56441333031128826660711 ~2007
56443210431128864208711 ~2007
56443572413386614344711 ~2008
56446253213386775192711 ~2008
56449617111128992342311 ~2007
56452130391129042607911 ~2007
56452431114516194488911 ~2009
56452548733387152923911 ~2008
56453337973387200278311 ~2008
56453945631129078912711 ~2007
56454838213387290292711 ~2008
56454909231129098184711 ~2007
56456469831129129396711 ~2007
56456765511129135310311 ~2007
56456784591129135691911 ~2007
564602914939522204043112 ~2011
56462517111129250342311 ~2007
56463042111129260842311 ~2007
56465476813387928608711 ~2008
56466769911129335398311 ~2007
56468297333388097839911 ~2008
56469841911129396838311 ~2007
564703177110164657187912 ~2010
Exponent Prime Factor Dig. Year
56471911573388314694311 ~2008
56473777374517902189711 ~2009
56475766013388545960711 ~2008
56476349391129526987911 ~2007
56476826991129536539911 ~2007
56479220115647922011111 ~2009
56481063711129621274311 ~2007
56481199995648119999111 ~2009
56483759631129675192711 ~2007
56484272031129685440711 ~2007
56485448933389126935911 ~2008
56487004191129740083911 ~2007
56487039373389222362311 ~2008
56489403711129788074311 ~2007
56489595231129791904711 ~2007
56489744511129794890311 ~2007
56491640991129832819911 ~2007
56492448711129848974311 ~2007
56496757194519740575311 ~2009
564972571316949177139112 ~2010
56499587031129991740711 ~2007
565009596125990441420712 ~2011
56501192394520095391311 ~2009
56505979573390358774311 ~2008
56506498431130129968711 ~2007
Exponent Prime Factor Dig. Year
56506916991130138339911 ~2007
56510165991130203319911 ~2007
56513529231130270584711 ~2007
56514046373390842782311 ~2008
56519249511130384990311 ~2007
56520575631130411512711 ~2007
56520754311130415086311 ~2007
56520772191130415443911 ~2007
56526856974522148557711 ~2009
56527745631130554912711 ~2007
56528172231130563444711 ~2007
56528318391130566367911 ~2007
56532863991130657279911 ~2007
56535313614522825088911 ~2009
56536664391130733287911 ~2007
56538325431130766508711 ~2007
56539238511130784770311 ~2007
56541274311130825486311 ~2007
56544882231130897644711 ~2007
56547935031130958700711 ~2007
56549461191130989223911 ~2007
56551115475655111547111 ~2009
565555310313573327447312 ~2010
56555806431131116128711 ~2007
565562940710180132932712 ~2010
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26-02-08