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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
676835531135367106310 ~2000
676835921406101552710 ~2001
676851341406110804710 ~2001
6768715671624491760911 ~2003
676878803135375760710 ~2000
6768807911083009265711 ~2002
676898003135379600710 ~2000
676901651135380330310 ~2000
676932341541545872910 ~2001
6769388112843143006311 ~2003
676977803135395560710 ~2000
676978079135395615910 ~2000
676981703135396340710 ~2000
676990343135398068710 ~2000
6769924131624781791311 ~2003
676992517406195510310 ~2001
6770004791624801149711 ~2003
677019263135403852710 ~2000
677039351135407870310 ~2000
677056283135411256710 ~2000
677072471135414494310 ~2000
677090159135418031910 ~2000
677094359541675487310 ~2001
6770959331489611052711 ~2003
677113091135422618310 ~2000
Exponent Prime Factor Digits Year
677142923135428584710 ~2000
677148001406288800710 ~2001
677152163135430432710 ~2000
677159633406295779910 ~2001
6771745513250437844911 ~2003
677181731541745384910 ~2001
677188283135437656710 ~2000
677217011135443402310 ~2000
677225291135445058310 ~2000
677225723135445144710 ~2000
6772263131083562100911 ~2002
677234003135446800710 ~2000
677244803135448960710 ~2000
677256071135451214310 ~2000
677269751135453950310 ~2000
677289971135457994310 ~2000
677292611135458522310 ~2000
677305037406383022310 ~2001
6773173073386586535111 ~2003
6773219291490108243911 ~2003
6773319791219197562311 ~2002
677339543135467908710 ~2000
677360891541888712910 ~2001
677363231135472646310 ~2000
677363507541890805710 ~2001
Exponent Prime Factor Digits Year
677381921406429152710 ~2001
677386511541909208910 ~2001
6773880591625731341711 ~2003
677388611135477722310 ~2000
677396771135479354310 ~2000
677410511135482102310 ~2000
677432101406459260710 ~2001
677442317406465390310 ~2001
6774581536910073160711 ~2004
6775245972032573791111 ~2003
677576477542061181710 ~2001
677595623135519124710 ~2000
677600519135520103910 ~2000
677623561406574136710 ~2001
677630861542104688910 ~2001
677739457406643674310 ~2001
67774986117757046358312 ~2005
677752259135550451910 ~2000
677772071135554414310 ~2000
6777880211084460833711 ~2002
677790073406674043910 ~2001
677795411135559082310 ~2000
677799971135559994310 ~2000
677817017542253613710 ~2001
677827691135565538310 ~2000
Exponent Prime Factor Digits Year
677832431542265944910 ~2001
677842181406705308710 ~2001
677847161406708296710 ~2001
677933111135586622310 ~2000
677938589949114024710 ~2002
677944271135588854310 ~2000
677948279135589655910 ~2000
677962459677962459110 ~2002
677980777406788466310 ~2001
677988431135597686310 ~2000
677993279135598655910 ~2000
678033091678033091110 ~2002
678038891135607778310 ~2000
678048131135609626310 ~2000
678063691678063691110 ~2002
678115331135623066310 ~2000
678133931135626786310 ~2000
678136133406881679910 ~2001
678137051135627410310 ~2000
678148379135629675910 ~2000
678176423135635284710 ~2000
6781765392305800232711 ~2003
678211031135642206310 ~2000
678338099135667619910 ~2000
678352217407011330310 ~2001
3536
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25-11-02