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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
3146186051629237210310 ~2005
3146674259629334851910 ~2005
31466859011888011540711 ~2006
31466918512517353480911 ~2007
31467445072517395605711 ~2007
31467810172517424813711 ~2007
3146795279629359055910 ~2005
3146862671629372534310 ~2005
31469637615035142017711 ~2007
3146967143629393428710 ~2005
31470591774405882847911 ~2007
31471162331888269739911 ~2006
31471254971888275298311 ~2006
3147154583629430916710 ~2005
3147168539629433707910 ~2005
31471762371888305742311 ~2006
3147223619629444723910 ~2005
31475070793147507079111 ~2007
3147604259629520851910 ~2005
3147628703629525740710 ~2005
3147751499629550299910 ~2005
3147788999629557799910 ~2005
31478030331888681819911 ~2006
3147804839629560967910 ~2005
31478540771888712446311 ~2006
Exponent Prime Factor Digits Year
3147872603629574520710 ~2005
31480361872518428949711 ~2007
3148074851629614970310 ~2005
3148135751629627150310 ~2005
314815027940925953627112 ~2010
3148311431629662286310 ~2005
3148411811629682362310 ~2005
3148443983629688796710 ~2005
3148495043629699008710 ~2005
3148670771629734154310 ~2005
3148693643629738728710 ~2005
31488404392519072351311 ~2007
3148921943629784388710 ~2005
31490560211889433612711 ~2006
3149070503629814100710 ~2005
31492823771889569426311 ~2006
31493514894409092084711 ~2007
31495377712519630216911 ~2007
3149631659629926331910 ~2005
31496660571889799634311 ~2006
3149680139629936027910 ~2005
3149720111629944022310 ~2005
31498473475669725224711 ~2008
3149940071629988014310 ~2005
31499536931889972215911 ~2006
Exponent Prime Factor Digits Year
31499946892519995751311 ~2007
3150067451630013490310 ~2005
3150270659630054131910 ~2005
31503111412520248912911 ~2007
31503565011890213900711 ~2006
3150395159630079031910 ~2005
31503969411890238164711 ~2006
31503984736930876640711 ~2008
3150543023630108604710 ~2005
3150795551630159110310 ~2005
31508420212520673616911 ~2007
3150989879630197975910 ~2005
31510092171890605530311 ~2006
3151321571630264314310 ~2005
3151326911630265382310 ~2005
31513900192521112015311 ~2007
3151430351630286070310 ~2005
3151467971630293594310 ~2005
3151510391630302078310 ~2005
3151516331630303266310 ~2005
31515867411890952044711 ~2006
3151758719630351743910 ~2005
3151778039630355607910 ~2005
3151992071630398414310 ~2005
31520274913152027491111 ~2007
Exponent Prime Factor Digits Year
3152055551630411110310 ~2005
31521025792521682063311 ~2007
3152109599630421919910 ~2005
3152193623630438724710 ~2005
3152413679630482735910 ~2005
3152471411630494282310 ~2005
31526832772522146621711 ~2007
3152788631630557726310 ~2005
3152819531630563906310 ~2005
31528621371891717282311 ~2006
3153176231630635246310 ~2005
31532042211891922532711 ~2006
31532993411891979604711 ~2006
31534960912522796872911 ~2007
3153586391630717278310 ~2005
31535978571892158714311 ~2006
3153677519630735503910 ~2005
3153956363630791272710 ~2005
3154026971630805394310 ~2005
31540681672523254533711 ~2007
3154231631630846326310 ~2005
315426096150468175376112 ~2010
3154587743630917548710 ~2005
3154633043630926608710 ~2005
3154741223630948244710 ~2005
3919
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25-05-04