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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
80000499711600009994311 ~2008
800007879712800126075312 ~2011
80001093111600021862311 ~2008
80001964934800117895911 ~2010
80002532031600050640711 ~2008
800052660124001579803112 ~2011
80009277711600185554311 ~2008
800177037719204248904912 ~2011
800207098157614911063312 ~2012
80021526591600430531911 ~2008
80024320431600486408711 ~2008
80033215976402657277711 ~2010
80043294231600865884711 ~2008
80045697111600913942311 ~2008
80046335511600926710311 ~2008
80047083111600941662311 ~2008
800489048344827386704912 ~2012
80050823391601016467911 ~2008
80053287591601065751911 ~2008
80057413431601148268711 ~2008
80062007396404960591311 ~2010
80064253791601285075911 ~2008
80066180031601323600711 ~2008
80066509791601330195911 ~2008
80067261374804035682311 ~2010
Exponent Prime Factor Dig. Year
80076564831601531296711 ~2008
80077659711601553194311 ~2008
80078483631601569672711 ~2008
80081733111601634662311 ~2008
80086553216406924256911 ~2010
80090594534805435671911 ~2010
801026830312816429284912 ~2011
80103570111602071402311 ~2008
801043111319225034671312 ~2011
80122211031602444220711 ~2008
80125707711602514154311 ~2008
80126214711602524294311 ~2008
80126486391602529727911 ~2008
80128723911602574478311 ~2008
80131520334807891219911 ~2010
80131712511602634250311 ~2008
80132584191602651683911 ~2008
80133906831602678136711 ~2008
801346266136861928240712 ~2012
80135106414808106384711 ~2010
80136371838013637183111 ~2010
80139130496411130439311 ~2010
80139728991602794579911 ~2008
80144293431602885868711 ~2008
80145568638014556863111 ~2010
Exponent Prime Factor Dig. Year
80148998391602979967911 ~2008
80149290176411943213711 ~2010
80150541711603010834311 ~2008
80152858911603057178311 ~2008
80154595791603091915911 ~2008
80156532774809391966311 ~2010
80158870791603177415911 ~2008
80165799711603315994311 ~2008
80166673878016667387111 ~2010
80167486431603349728711 ~2008
801728647140086432355112 ~2012
80177419334810645159911 ~2010
80178870711603577414311 ~2008
80181202191603624043911 ~2008
80182663911603653278311 ~2008
80182923711603658474311 ~2008
80187287991603745759911 ~2008
80189583231603791664711 ~2008
80189979134811398747911 ~2010
80189981991603799639911 ~2008
80192789031603855780711 ~2008
80192981031603859620711 ~2008
801934586344908336832912 ~2012
80194602374811676142311 ~2010
801975385138494818484912 ~2012
Exponent Prime Factor Dig. Year
80198601711603972034311 ~2008
80209713831604194276711 ~2008
80214995991604299919911 ~2008
80216021391604320427911 ~2008
80216124711604322494311 ~2008
80217204111604344082311 ~2008
80217554991604351099911 ~2008
80219785016417582800911 ~2010
80221566318022156631111 ~2010
80225254431604505088711 ~2008
80226769191604535383911 ~2008
80233808876418704709711 ~2010
80234136831604682736711 ~2008
80244363231604887264711 ~2008
80248598631604971972711 ~2008
80253890238025389023111 ~2010
80254041711605080834311 ~2008
80254709631605094192711 ~2008
80256022431605120448711 ~2008
80257236591605144731911 ~2008
80260953231605219064711 ~2008
80262816111605256322311 ~2008
80268061431605361228711 ~2008
80271093711605421874311 ~2008
802712821140135641055112 ~2012
4181
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25-04-13