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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
58534377831170687556711 ~2007
58538121711170762434311 ~2007
58538400711170768014311 ~2007
58541429994683314399311 ~2009
58542233631170844672711 ~2007
58543180311170863606311 ~2007
58543891794683511343311 ~2009
58545205431170904108711 ~2007
58545556911170911138311 ~2007
58547740311170954806311 ~2007
58547872213512872332711 ~2008
58548609831170972196711 ~2007
58549446711170988934311 ~2007
58550128791171002575911 ~2007
58552075374684166029711 ~2009
58552449613513146976711 ~2008
58553194791171063895911 ~2007
58554763974684381117711 ~2009
58558672191171173443911 ~2007
58564073115856407311111 ~2009
58567669911171353398311 ~2007
58567744191171354883911 ~2007
58573930791171478615911 ~2007
58593294174687463533711 ~2009
58594455195859445519111 ~2009
Exponent Prime Factor Dig. Year
58596945231171938904711 ~2007
58597469094687797527311 ~2009
585981825723439273028112 ~2011
58599370191171987403911 ~2007
58599708591171994171911 ~2007
58600847991172016959911 ~2007
58602302511172046050311 ~2007
58602421191172048423911 ~2007
58605632511172112650311 ~2007
58607562591172151251911 ~2007
58607673711172153474311 ~2007
58607732511172154650311 ~2007
58608209391172164187911 ~2007
58608476511172169530311 ~2007
58611118431172222368711 ~2007
58611343431172226868711 ~2007
58612269711172245394311 ~2007
58614108294689128663311 ~2009
58625514231172510284711 ~2007
58627545591172550911911 ~2007
58628739591172574791911 ~2007
58629228231172584564711 ~2007
58630862631172617252711 ~2007
58633597911172671958311 ~2007
58634139711172682794311 ~2007
Exponent Prime Factor Dig. Year
58634181739381469076911 ~2010
58636436511172728730311 ~2007
58637549511172750990311 ~2007
58637564391172751287911 ~2007
58638304875863830487111 ~2009
58638616911172772338311 ~2007
58639615133518376907911 ~2009
58642294431172845888711 ~2007
58642336933518540215911 ~2009
58644875391172897507911 ~2007
58647969231172959384711 ~2007
58648226813518893608711 ~2009
58651130631173022612711 ~2007
586532430714076778336912 ~2010
58654723911173094478311 ~2007
58654914591173098291911 ~2007
58655488311173109766311 ~2007
586556801918769817660912 ~2010
58656350031173127000711 ~2007
58657294515865729451111 ~2009
58657537573519452254311 ~2009
58658079111173161582311 ~2007
58658836311173176726311 ~2007
58660741431173214828711 ~2007
58661629431173232588711 ~2007
Exponent Prime Factor Dig. Year
586620535714078892856912 ~2010
58666110591173322211911 ~2007
58666261911173325238311 ~2007
58667807391173356147911 ~2007
58667852511173357050311 ~2007
58669592391173391847911 ~2007
58671376914693710152911 ~2009
58672653733520359223911 ~2009
58673247173520394830311 ~2009
58675223991173504479911 ~2007
58676488791173529775911 ~2007
58680045919388807345711 ~2010
58681889514694551160911 ~2009
58683327591173666551911 ~2007
58684614711173692294311 ~2007
586849945990374891668712 ~2012
58686583395868658339111 ~2009
58687708191173754163911 ~2007
58687733773521264026311 ~2009
586883078352819477047112 ~2011
58689400191173788003911 ~2007
58689869991173797399911 ~2007
58691794431173835888711 ~2007
58691903333521514199911 ~2009
58695361733521721703911 ~2009
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26-08-02