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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
733257023146651404710 ~2000
733259183146651836710 ~2000
733297679146659535910 ~2000
733372499146674499910 ~2000
733375109586700087310 ~2002
733389071146677814310 ~2000
733406699146681339910 ~2000
733407533440044519910 ~2001
733437403733437403110 ~2002
733445591146689118310 ~2000
733453439146690687910 ~2000
733476539146695307910 ~2000
7334926811173588289711 ~2002
733495439146699087910 ~2000
733505999146701199910 ~2000
733514891146702978310 ~2000
733559903146711980710 ~2000
733560011146712002310 ~2000
733564823146712964710 ~2000
733574861440144916710 ~2001
733578899146715779910 ~2000
733595231146719046310 ~2000
733609829586887863310 ~2002
733631303146726260710 ~2000
733652219146730443910 ~2000
Exponent Prime Factor Digits Year
733675619146735123910 ~2000
7336930491760863317711 ~2003
733701779146740355910 ~2000
733702331146740466310 ~2000
733708991146741798310 ~2000
7337203035282786181711 ~2004
733730177440238106310 ~2001
733750403146750080710 ~2000
733750463146750092710 ~2000
733769171146753834310 ~2000
733771433440262859910 ~2001
733773119146754623910 ~2000
733774103146754820710 ~2000
733815119146763023910 ~2000
733820837587056669710 ~2002
733826459146765291910 ~2000
733851857587081485710 ~2002
733855763146771152710 ~2000
733868879146773775910 ~2000
733882211146776442310 ~2000
733916801587133440910 ~2002
733921091146784218310 ~2000
733932011146786402310 ~2000
733944143146788828710 ~2000
733961411146792282310 ~2000
Exponent Prime Factor Digits Year
733980277440388166310 ~2001
733994543146798908710 ~2000
734029379146805875910 ~2000
734030351146806070310 ~2000
7340363572202109071111 ~2003
734041571587233256910 ~2002
734047817440428690310 ~2001
734074391146814878310 ~2000
734109611146821922310 ~2000
734112803146822560710 ~2000
734134837440480902310 ~2001
734136323146827264710 ~2000
734174773440504863910 ~2001
734187851146837570310 ~2000
7342112111174737937711 ~2002
734227253440536351910 ~2001
734246699587397359310 ~2002
734262863146852572710 ~2000
734277431146855486310 ~2000
734283131146856626310 ~2000
734286263146857252710 ~2000
7342879372202863811111 ~2003
734291543146858308710 ~2000
734307263146861452710 ~2000
734309171146861834310 ~2000
Exponent Prime Factor Digits Year
7343339232937335692111 ~2003
734350871146870174310 ~2000
734371691146874338310 ~2000
734400497440640298310 ~2001
734420339146884067910 ~2000
734441843146888368710 ~2000
7344456673525339201711 ~2004
734458691146891738310 ~2000
734472779146894555910 ~2000
734483663146896732710 ~2000
734502179146900435910 ~2000
734515273440709163910 ~2001
734519543146903908710 ~2000
734536571146907314310 ~2000
734558939146911787910 ~2000
734560583146912116710 ~2000
734565803146913160710 ~2000
734566271146913254310 ~2000
734592017440755210310 ~2001
734606759146921351910 ~2000
73461302972285922053712 ~2007
7346140731028459702311 ~2002
734629717440777830310 ~2001
734631641440778984710 ~2001
734639231146927846310 ~2000
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25-07-08