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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
73701688911474033778311 ~2008
73702844574422170674311 ~2009
73707531111474150622311 ~2008
73708548711474170974311 ~2008
73710187191474203743911 ~2008
73710475911474209518311 ~2008
73713436997371343699111 ~2010
73714065831474281316711 ~2008
73714416917371441691111 ~2010
73714971831474299436711 ~2008
73715812911474316258311 ~2008
73716259791474325195911 ~2008
73719113631474382272711 ~2008
73721498031474429960711 ~2008
73724452431474489048711 ~2008
73728021591474560431911 ~2008
73729898031474597960711 ~2008
73734970734424098243911 ~2009
73735206111474704122311 ~2008
73735856774424151406311 ~2009
73736868231474737364711 ~2008
73739926015899194080911 ~2010
73741811511474836230311 ~2008
73742665334424559919911 ~2009
737496435111799942961712 ~2010
Exponent Prime Factor Dig. Year
737567293333928095491912 ~2011
73756791591475135831911 ~2008
73761163431475223268711 ~2008
73771649391475432987911 ~2008
73772716791475454335911 ~2008
73772862111475457242311 ~2008
73777758374426665502311 ~2009
73779805311475596106311 ~2008
73782394315902591544911 ~2010
73787685711475753714311 ~2008
737897281316233740188712 ~2011
73791403134427484187911 ~2009
73791850037379185003111 ~2010
737933939959034715192112 ~2012
73793514595903481167311 ~2010
73794596511475891930311 ~2008
73794806774427688406311 ~2009
73797681831475953636711 ~2008
73798000375903840029711 ~2010
738008261310332115658312 ~2010
73802531511476050630311 ~2008
73803225711476064514311 ~2008
73804704111476094082311 ~2008
738075863317713820719312 ~2011
73811808715904944696911 ~2010
Exponent Prime Factor Dig. Year
73815707174428942430311 ~2009
73816328031476326560711 ~2008
73817236311476344726311 ~2008
73818950511476379010311 ~2008
73820639631476412792711 ~2008
73824817191476496343911 ~2008
738252037311812032596912 ~2010
73827568791476551375911 ~2008
738277782729531111308112 ~2011
73831344111476626882311 ~2008
73833327175906666173711 ~2010
73836329991476726599911 ~2008
73840373991476807479911 ~2008
73841244831476824896711 ~2008
73841927031476838540711 ~2008
73843894574430633674311 ~2009
73845482991476909659911 ~2008
73845987231476919744711 ~2008
73856204391477124087911 ~2008
73858055031477161100711 ~2008
73859534391477190687911 ~2008
73859622711477192454311 ~2008
73863176991477263539911 ~2008
738646999153182583935312 ~2012
73865679591477313591911 ~2008
Exponent Prime Factor Dig. Year
73867523631477350472711 ~2008
73868545075909483605711 ~2010
73869383995909550719311 ~2010
73869473031477389460711 ~2008
73869773031477395460711 ~2008
73871261511477425230311 ~2008
73873164831477463296711 ~2008
73879322214432759332711 ~2009
73881782511477635650311 ~2008
73882379991477647599911 ~2008
73883763111477675262311 ~2008
73883897631477677952711 ~2008
738851221710343917103912 ~2010
738894001131033548046312 ~2011
738896904111822350465712 ~2010
73891497591477829951911 ~2008
73892713431477854268711 ~2008
73897472031477949440711 ~2008
73898292437389829243111 ~2010
73901671675912133733711 ~2010
73902741614434164496711 ~2009
73904031797390403179111 ~2010
73908895014434533700711 ~2009
73911537895912923031311 ~2010
73912427391478248547911 ~2008
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25-05-04