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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
2012811191402562238310 ~2004
2012922911402584582310 ~2004
2013005531402601106310 ~2004
20131719473623709504711 ~2006
20131729371207903762311 ~2005
2013192911402638582310 ~2004
20132941919663812116911 ~2007
2013301739402660347910 ~2004
2013427439402685487910 ~2004
2013521423402704284710 ~2004
2013526331402705266310 ~2004
2013677651402735530310 ~2004
2013702143402740428710 ~2004
2013776183402755236710 ~2004
20138263512013826351111 ~2005
20138331531208299891911 ~2005
2013862139402772427910 ~2004
20138628496041588547111 ~2007
2013929843402785968710 ~2004
2013935279402787055910 ~2004
2013942923402788584710 ~2004
2013959411402791882310 ~2004
20139598132819543738311 ~2006
20140479771208428786311 ~2005
20140631712014063171111 ~2005
Exponent Prime Factor Digits Year
20140647291611251783311 ~2005
2014092851402818570310 ~2004
20141606094833985461711 ~2006
20143368711611469496911 ~2005
20143437172820081203911 ~2006
2014439639402887927910 ~2004
2014465391402893078310 ~2004
2014494719402898943910 ~2004
20145628191611650255311 ~2005
2014660523402932104710 ~2004
20147036112014703611111 ~2005
2014799483402959896710 ~2004
20148385491611870839311 ~2005
2014977539402995507910 ~2004
2015074499403014899910 ~2004
2015131271403026254310 ~2004
2015146319403029263910 ~2004
2015219471403043894310 ~2004
2015250383403050076710 ~2004
2015330183403066036710 ~2004
2015404571403080914310 ~2004
20154121512015412151111 ~2005
20154207411209252444711 ~2005
2015455283403091056710 ~2004
2015527499403105499910 ~2004
Exponent Prime Factor Digits Year
2015682863403136572710 ~2004
2015695991403139198310 ~2004
2015713499403142699910 ~2004
20157517971209451078311 ~2005
20157575873628363656711 ~2006
20157788712015778871111 ~2005
2015778923403155784710 ~2004
2015801591403160318310 ~2004
20158603313628548595911 ~2006
2016053471403210694310 ~2004
2016099131403219826310 ~2004
2016136163403227232710 ~2004
2016168503403233700710 ~2004
2016203243403240648710 ~2004
2016221771403244354310 ~2004
2016246671403249334310 ~2004
2016282503403256500710 ~2004
2016290519403258103910 ~2004
2016340019403268003910 ~2004
20163976992016397699111 ~2005
2016447623403289524710 ~2004
20164613896049384167111 ~2007
2016526619403305323910 ~2004
2016546071403309214310 ~2004
201659585910082979295112 ~2007
Exponent Prime Factor Digits Year
2016606323403321264710 ~2004
20166070011613285600911 ~2005
2016608939403321787910 ~2004
2016632771403326554310 ~2004
2016691199403338239910 ~2004
20167537491613402999311 ~2005
2016756239403351247910 ~2004
20168075394840338093711 ~2006
2017081043403416208710 ~2004
2017133411403426682310 ~2004
2017171979403434395910 ~2004
2017245911403449182310 ~2004
2017254923403450984710 ~2004
2017315031403463006310 ~2004
2017338839403467767910 ~2004
20173736932824323170311 ~2006
2017424291403484858310 ~2004
2017453799403490759910 ~2004
2017554251403510850310 ~2004
2017633259403526651910 ~2004
2017663643403532728710 ~2004
2017697483403539496710 ~2004
20177167731210630063911 ~2005
2017748951403549790310 ~2004
20177592291614207383311 ~2005
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25-04-13