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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
775818419155163683910 ~2000
775819619155163923910 ~2000
775864571155172914310 ~2000
775865063155173012710 ~2000
775904399155180879910 ~2000
775909997465545998310 ~2002
775945931155189186310 ~2000
775962683155192536710 ~2000
775981523155196304710 ~2000
77599384757268345908712 ~2007
775999319155199863910 ~2000
7760205431241632868911 ~2003
776033759155206751910 ~2000
776050211155210042310 ~2000
776060171155212034310 ~2000
776081051155216210310 ~2000
776095511155219102310 ~2000
776117399155223479910 ~2000
7761264111397027539911 ~2003
776172437465703462310 ~2002
776203331620962664910 ~2002
776209193465725515910 ~2002
776252471621001976910 ~2002
776265913465759547910 ~2002
776274071155254814310 ~2000
Exponent Prime Factor Digits Year
7762978672018374454311 ~2003
776308199155261639910 ~2000
776313119155262623910 ~2000
776320847621056677710 ~2002
776406419155281283910 ~2000
776415323155283064710 ~2000
776443571155288714310 ~2000
776449391155289878310 ~2000
776496971155299394310 ~2000
776520263155304052710 ~2000
776606711155321342310 ~2000
776612807621290245710 ~2002
776623721465974232710 ~2002
776624399155324879910 ~2000
776644859155328971910 ~2000
776679317621343453710 ~2002
776765711155353142310 ~2000
776766563155353312710 ~2000
776786819155357363910 ~2000
776794037621435229710 ~2002
776799311155359862310 ~2000
776813171155362634310 ~2000
776816231155363246310 ~2000
776887283155377456710 ~2000
776949907776949907110 ~2002
Exponent Prime Factor Digits Year
776967083155393416710 ~2000
777031331155406266310 ~2000
777059351155411870310 ~2000
777065279155413055910 ~2000
777094691155418938310 ~2000
777107099155421419910 ~2000
777170363155434072710 ~2000
777209963155441992710 ~2000
777218063155443612710 ~2000
777277379155455475910 ~2000
777308963155461792710 ~2000
777313333466387999910 ~2002
77734597724875071264112 ~2006
777371747621897397710 ~2002
777408311155481662310 ~2000
7774443774198199635911 ~2004
777450119155490023910 ~2000
7774957931865989903311 ~2003
777508943155501788710 ~2000
777509141622007312910 ~2002
777638333466582999910 ~2002
777657791155531558310 ~2000
777673859155534771910 ~2000
777675337466605202310 ~2002
777691991155538398310 ~2000
Exponent Prime Factor Digits Year
777700739155540147910 ~2000
777725159155545031910 ~2000
777760237466656142310 ~2002
777767981466660788710 ~2002
777769903777769903110 ~2002
777814619155562923910 ~2000
777820079155564015910 ~2000
777825299155565059910 ~2000
777842699155568539910 ~2000
777847331155569466310 ~2000
7778865371866927688911 ~2003
777940931155588186310 ~2000
777941999155588399910 ~2000
777958871155591774310 ~2000
777969371155593874310 ~2000
777986003155597200710 ~2000
777989489622391591310 ~2002
7780297792489695292911 ~2003
778035239155607047910 ~2000
778044317622435453710 ~2002
778046779778046779110 ~2002
778047997466828798310 ~2002
778087571155617514310 ~2000
778091057466854634310 ~2002
778092923155618584710 ~2000
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25-05-04