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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
534367564129924583589712 ~2011
53438630991068772619911 ~2007
53438660631068773212711 ~2007
53445758391068915167911 ~2007
53450956311069019126311 ~2007
53451693675345169367111 ~2009
53452482111069049642311 ~2007
53452603791069052075911 ~2007
53452755111069055102311 ~2007
53454136791069082735911 ~2007
53454788519621861931911 ~2009
53457199191069143983911 ~2007
534620527311761651600712 ~2010
53463230574277058445711 ~2008
53463708195346370819111 ~2009
534644740151325895049712 ~2011
53464762573207885754311 ~2008
53465183991069303679911 ~2007
53466407031069328140711 ~2007
53468590613208115436711 ~2008
53470135311069402706311 ~2007
53470957791069419155911 ~2007
53472169431069443388711 ~2007
53474631111069492622311 ~2007
53475704991069514099911 ~2007
Exponent Prime Factor Dig. Year
53476079274278086341711 ~2008
53476178173208570690311 ~2008
53478386511069567730311 ~2007
53478585831069571716711 ~2007
53479246911069584938311 ~2007
53480339631069606792711 ~2007
53484960111069699202311 ~2007
53485895031069717900711 ~2007
53487585591069751711911 ~2007
53490484311069809686311 ~2007
53492331591069846631911 ~2007
53495266311069905326311 ~2007
53495664831069913296711 ~2007
53496229333209773759911 ~2008
53496492474279719397711 ~2008
53498311311069966226311 ~2007
53501111031070022220711 ~2007
53502514614280201168911 ~2008
535028972928891564536712 ~2010
53505961431070119228711 ~2007
53506826337490955686311 ~2009
53507393773210443626311 ~2008
53507752911070155058311 ~2007
535134052125686434500912 ~2010
53513498631070269972711 ~2007
Exponent Prime Factor Dig. Year
53514588435351458843111 ~2009
53515074711070301494311 ~2007
53515278773210916726311 ~2008
53517499791070349995911 ~2007
53522981631070459632711 ~2007
53524902591070498051911 ~2007
53526940573211616434311 ~2008
53533099311070661986311 ~2007
53533636791070672735911 ~2007
53535617773212137066311 ~2008
53535832813212149968711 ~2008
53536999191070739983911 ~2007
53538309174283064733711 ~2008
535422807151400589481712 ~2011
53544749413212684964711 ~2008
53545474813212728488711 ~2008
53545546191070910923911 ~2007
53546723991070934479911 ~2007
53547908511070958170311 ~2007
535507210916065216327112 ~2010
53551044773213062686311 ~2008
53551608231071032164711 ~2007
53552772831071055456711 ~2007
53553778213213226692711 ~2008
535553975312853295407312 ~2010
Exponent Prime Factor Dig. Year
53559979191071199583911 ~2007
53561111511071222230311 ~2007
53563545831071270916711 ~2007
53567994711071359894311 ~2007
53571041835357104183111 ~2009
53572727838571636452911 ~2009
53574337518571894001711 ~2009
53577044213214622652711 ~2008
53581363191071627263911 ~2007
53582318631071646372711 ~2007
535838584725720252065712 ~2010
535840453324648660851912 ~2010
53585071311071701426311 ~2007
53588433231071768664711 ~2007
53591916711071838334311 ~2007
53595573831071911476711 ~2007
53596326831071926536711 ~2007
53597504991071950099911 ~2007
53599447431071988948711 ~2007
53602430418576388865711 ~2009
53606846031072136920711 ~2007
53607075795360707579111 ~2009
53608191294288655303311 ~2008
536088766312866130391312 ~2010
53609946714288795736911 ~2008
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25-04-13