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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
767448611153489722310 ~2000
767478851153495770310 ~2000
76749349115349869820112 ~2005
7675162573530574782311 ~2004
7675309131074543278311 ~2002
767551391153510278310 ~2000
767565377460539226310 ~2002
767571719153514343910 ~2000
767616299153523259910 ~2000
767634299153526859910 ~2000
767674079153534815910 ~2000
767679131153535826310 ~2000
767711111153542222310 ~2000
767721299153544259910 ~2000
767738651153547730310 ~2000
767749319153549863910 ~2000
767771243153554248710 ~2000
767784683153556936710 ~2000
767786843153557368710 ~2000
767804483153560896710 ~2000
767838581460703148710 ~2002
767839679153567935910 ~2000
767845943153569188710 ~2000
767864243153572848710 ~2000
767872681460723608710 ~2002
Exponent Prime Factor Digits Year
767877277460726366310 ~2002
767879039153575807910 ~2000
767882651153576530310 ~2000
767889443153577888710 ~2000
7678897631842935431311 ~2003
767892071153578414310 ~2000
767900351153580070310 ~2000
767917691153583538310 ~2000
767921183153584236710 ~2000
767928779153585755910 ~2000
767998139153599627910 ~2000
7680469691843312725711 ~2003
768077543153615508710 ~2000
768093191153618638310 ~2000
768130523153626104710 ~2000
768132383153626476710 ~2000
768149351153629870310 ~2000
768164693460898815910 ~2002
768182099153636419910 ~2000
768243241460945944710 ~2002
768258311153651662310 ~2000
768260443768260443110 ~2002
768262981460957788710 ~2002
768283811153656762310 ~2000
768309863153661972710 ~2000
Exponent Prime Factor Digits Year
768333719153666743910 ~2000
768338699153667739910 ~2000
768340271153668054310 ~2000
7683737031844096887311 ~2003
768407603153681520710 ~2000
768420311153684062310 ~2000
768512663153702532710 ~2000
7685166072612956463911 ~2003
768533819153706763910 ~2000
768534251153706850310 ~2000
768609311153721862310 ~2000
768615779614892623310 ~2002
768618731153723746310 ~2000
7686409871383553776711 ~2003
768644777614915821710 ~2002
768648817461189290310 ~2002
768655619153731123910 ~2000
768667079153733415910 ~2000
768668711153733742310 ~2000
768683711153736742310 ~2000
768726821461236092710 ~2002
768750623153750124710 ~2000
768790871153758174310 ~2000
768818431768818431110 ~2002
768820523153764104710 ~2000
Exponent Prime Factor Digits Year
768820583153764116710 ~2000
768834953461300971910 ~2002
768879899153775979910 ~2000
768929543153785908710 ~2000
768976619153795323910 ~2000
768980951153796190310 ~2000
769012259153802451910 ~2000
769058219153811643910 ~2000
769066583153813316710 ~2000
7690666911384320043911 ~2003
769086011153817202310 ~2000
769087391153817478310 ~2000
7691001771076740247911 ~2002
769100831153820166310 ~2000
769115159153823031910 ~2000
7691389134307177912911 ~2004
769147811153829562310 ~2000
769155503153831100710 ~2000
769175063153835012710 ~2000
769191971153838394310 ~2000
769197059153839411910 ~2000
769200359153840071910 ~2000
7692010992615283736711 ~2003
769233937461540362310 ~2002
769238053461542831910 ~2002
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25-06-08