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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
525516016712612384400912 ~2010
52553921333153235279911 ~2008
52554358973153261538311 ~2008
525544176784087068272112 ~2012
52555145333153308719911 ~2008
52555288973153317338311 ~2008
52556478231051129564711 ~2007
52556598231051131964711 ~2007
52556758791051135175911 ~2007
52558002711051160054311 ~2007
52560568431051211368711 ~2007
52560666711051213334311 ~2007
52560822831051216456711 ~2007
52560884511051217690311 ~2007
52562009511051240190311 ~2007
52562805111051256102311 ~2007
52564301391051286027911 ~2007
52566217431051324348711 ~2007
52566616911051332338311 ~2007
525671240322078192092712 ~2010
52568078511051361570311 ~2007
52568379231051367584711 ~2007
52568663391051373267911 ~2007
52569845631051396912711 ~2007
52572998511051459970311 ~2007
Exponent Prime Factor Dig. Year
525730966150470172745712 ~2011
52573543013154412580711 ~2008
52573802631051476052711 ~2007
52574949613154496976711 ~2008
52576738038412278084911 ~2009
52579207395257920739111 ~2009
52580651994206452159311 ~2008
52583754111051675082311 ~2007
52584351111051687022311 ~2007
52584900013155094000711 ~2008
52587352431051747048711 ~2007
52587471591051749431911 ~2007
52588412835258841283111 ~2009
52589713911051794278311 ~2007
52590104391051802087911 ~2007
52590805311051816106311 ~2007
52591334031051826680711 ~2007
52594287733155657263911 ~2008
525945478734712401594312 ~2011
52595255991051905119911 ~2007
52595825991051916519911 ~2007
52596101573155766094311 ~2008
52596686991051933739911 ~2007
52598278431051965568711 ~2007
52599535191051990703911 ~2007
Exponent Prime Factor Dig. Year
52600008711052000174311 ~2007
52600824231052016484711 ~2007
52602067613156124056711 ~2008
52603424337364479406311 ~2009
52603995591052079911911 ~2007
526043674911572960847912 ~2009
526046948326302347415112 ~2010
52605680694208454455311 ~2008
52606770319469218655911 ~2009
52607046231052140924711 ~2007
526074597715782237931112 ~2010
52607721231052154424711 ~2007
52607886711052157734311 ~2007
52608138133156488287911 ~2008
52609693813156581628711 ~2008
52612539714209003176911 ~2008
52615089613156905376711 ~2008
52618339191052366783911 ~2007
52621189431052423788711 ~2007
526223349712629360392912 ~2010
52622500431052450008711 ~2007
526266496988412771479312 ~2012
52626677991052533559911 ~2007
526302675715789080271112 ~2010
52634169195263416919111 ~2009
Exponent Prime Factor Dig. Year
52636684191052733683911 ~2007
52639985773158399146311 ~2008
52640553111052811062311 ~2007
52645630613158737836711 ~2008
52648163631052963272711 ~2007
52650896533159053791911 ~2008
52651311591053026231911 ~2007
52651891791053037835911 ~2007
52653164214212253136911 ~2008
52654240911053084818311 ~2007
52659813733159588823911 ~2008
52661127591053222551911 ~2007
52661459991053229199911 ~2007
52661720031053234400711 ~2007
52661948631053238972711 ~2007
52662891174213031293711 ~2008
52664650977373051135911 ~2009
52664653679479637660711 ~2009
52665296773159917806311 ~2008
52666681911053333638311 ~2007
52668251031053365020711 ~2007
52671004813160260288711 ~2008
52671805911053436118311 ~2007
52673770074213901605711 ~2008
52676357991053527159911 ~2007
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26-01-11