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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
58436283973506177038311 ~2008
58438958031168779160711 ~2007
58440198733506411923911 ~2008
58440680391168813607911 ~2007
58440742515844074251111 ~2009
58441634391168832687911 ~2007
58445721831168914436711 ~2007
58446841431168936828711 ~2007
58446924591168938491911 ~2007
58449213711168984274311 ~2007
58450832031169016640711 ~2007
58451122573507067354311 ~2008
58454897539352783604911 ~2009
58459438911169188778311 ~2007
58459911894676792951311 ~2009
58462043839353927012911 ~2010
58465099791169301995911 ~2007
58466272191169325443911 ~2007
58467019635846701963111 ~2009
58467184911169343698311 ~2007
58467433613508046016711 ~2008
58468141911169362838311 ~2007
58468204911169364098311 ~2007
58468614831169372296711 ~2007
58470304431169406088711 ~2007
Exponent Prime Factor Dig. Year
58475818431169516368711 ~2007
58476493431169529868711 ~2007
58478443373508706602311 ~2008
58480266231169605324711 ~2007
58480593973508835638311 ~2008
58482921231169658424711 ~2007
58483041231169660824711 ~2007
584852028710527336516712 ~2010
58486632831169732656711 ~2007
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
Exponent Prime Factor Dig. Year
58518493311170369866311 ~2007
58520015031170400300711 ~2007
58524171591170483431911 ~2007
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
Exponent Prime Factor Dig. Year
58567669911171353398311 ~2007
58567744191171354883911 ~2007
58573930791171478615911 ~2007
58593294174687463533711 ~2009
58594455195859445519111 ~2009
58597469094687797527311 ~2009
585981825723439273028112 ~2010
58599370191171987403911 ~2007
58599708591171994171911 ~2007
58600847991172016959911 ~2007
58602302511172046050311 ~2007
58602421191172048423911 ~2007
58605632511172112650311 ~2007
58607673711172153474311 ~2007
58607732511172154650311 ~2007
58608209391172164187911 ~2007
58611118431172222368711 ~2007
58611343431172226868711 ~2007
58612269711172245394311 ~2007
58614108294689128663311 ~2009
58625514231172510284711 ~2007
58627545591172550911911 ~2007
58628739591172574791911 ~2007
58629228231172584564711 ~2007
58630862631172617252711 ~2007
4236
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25-07-20