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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
58478443373508706602311 ~2008
58480266231169605324711 ~2007
58480593973508835638311 ~2008
58482921231169658424711 ~2007
58483041231169660824711 ~2007
584852028710527336516712 ~2010
58487492511169749850311 ~2007
58491901311169838026311 ~2007
58492204311169844086311 ~2007
58492439031169848780711 ~2007
58492639911169852798311 ~2007
58497207711169944154311 ~2007
584984654315209601011912 ~2010
58499405391169988107911 ~2007
58507862333510471739911 ~2008
58508758791170175175911 ~2007
58508879631170177592711 ~2007
58509737631170194752711 ~2007
58513390311170267806311 ~2007
58514549694681163975311 ~2009
585145742914043497829712 ~2010
58517330573511039834311 ~2008
58518493311170369866311 ~2007
58520015031170400300711 ~2007
58524171591170483431911 ~2007
Exponent Prime Factor Dig. Year
58526160231170523204711 ~2007
58529430591170588611911 ~2007
58530867413511852044711 ~2008
58532176791170643535911 ~2007
58534203111170684062311 ~2007
58534377831170687556711 ~2007
58538121711170762434311 ~2007
58542233631170844672711 ~2007
58543180311170863606311 ~2007
58543891794683511343311 ~2009
58545205431170904108711 ~2007
58545556911170911138311 ~2007
58547740311170954806311 ~2007
58547872213512872332711 ~2008
58548609831170972196711 ~2007
58550128791171002575911 ~2007
58552075374684166029711 ~2009
58552449613513146976711 ~2008
58553194791171063895911 ~2007
58554763974684381117711 ~2009
58558672191171173443911 ~2007
58564073115856407311111 ~2009
58567669911171353398311 ~2007
58567744191171354883911 ~2007
58573930791171478615911 ~2007
Exponent Prime Factor Dig. Year
58593294174687463533711 ~2009
58594455195859445519111 ~2009
58597469094687797527311 ~2009
585981825723439273028112 ~2010
58599370191171987403911 ~2007
58599708591171994171911 ~2007
58600847991172016959911 ~2007
58602302511172046050311 ~2007
58602421191172048423911 ~2007
58605632511172112650311 ~2007
58607673711172153474311 ~2007
58607732511172154650311 ~2007
58611118431172222368711 ~2007
58611343431172226868711 ~2007
58612269711172245394311 ~2007
58614108294689128663311 ~2009
58625514231172510284711 ~2007
58628739591172574791911 ~2007
58629228231172584564711 ~2007
58630862631172617252711 ~2007
58633597911172671958311 ~2007
58634139711172682794311 ~2007
58637549511172750990311 ~2007
58637564391172751287911 ~2007
58638304875863830487111 ~2009
Exponent Prime Factor Dig. Year
58638616911172772338311 ~2007
58639615133518376907911 ~2008
58642294431172845888711 ~2007
58642336933518540215911 ~2008
58644875391172897507911 ~2007
58648226813518893608711 ~2008
58651130631173022612711 ~2007
586532430714076778336912 ~2010
58654723911173094478311 ~2007
586556801918769817660912 ~2010
58657294515865729451111 ~2009
58657537573519452254311 ~2008
58658836311173176726311 ~2007
58660741431173214828711 ~2007
58661629431173232588711 ~2007
58666261911173325238311 ~2007
58667807391173356147911 ~2007
58667852511173357050311 ~2007
58671376914693710152911 ~2009
58673247173520394830311 ~2008
58675223991173504479911 ~2007
58676488791173529775911 ~2007
58680045919388807345711 ~2010
58681889514694551160911 ~2009
58683327591173666551911 ~2007
4086
GIMPS The Prime Pages FactorDb.com
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25-04-13