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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
677244803135448960710 ~2000
677256071135451214310 ~2000
677269751135453950310 ~2000
677289971135457994310 ~2000
677292611135458522310 ~2000
677305037406383022310 ~2001
6773173073386586535111 ~2003
6773319791219197562311 ~2002
677339543135467908710 ~2000
677360891541888712910 ~2001
677363231135472646310 ~2000
677363507541890805710 ~2001
677381921406429152710 ~2001
677386511541909208910 ~2001
6773880591625731341711 ~2003
677388611135477722310 ~2000
677396771135479354310 ~2000
677410511135482102310 ~2000
677432101406459260710 ~2001
677442317406465390310 ~2001
6774581536910073160711 ~2004
677494991541995992910 ~2001
6775245972032573791111 ~2003
677576477542061181710 ~2001
677595623135519124710 ~2000
Exponent Prime Factor Digits Year
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
677832431542265944910 ~2001
677842181406705308710 ~2001
677847161406708296710 ~2001
677933111135586622310 ~2000
677938589949114024710 ~2002
677944271135588854310 ~2000
677948279135589655910 ~2000
677980777406788466310 ~2001
677988431135597686310 ~2000
677993279135598655910 ~2000
678033091678033091110 ~2002
678038891135607778310 ~2000
Exponent Prime Factor Digits Year
678048131135609626310 ~2000
678063691678063691110 ~2002
678115331135623066310 ~2000
678133931135626786310 ~2000
678136133406881679910 ~2001
678137051135627410310 ~2000
678148379135629675910 ~2000
678176423135635284710 ~2000
6781765392305800232711 ~2003
678338099135667619910 ~2000
678352217407011330310 ~2001
678366431135673286310 ~2000
678375617542700493710 ~2001
678379763135675952710 ~2000
6784241471085478635311 ~2002
678430583135686116710 ~2000
678447817407068690310 ~2001
678448559135689711910 ~2000
678454453407072671910 ~2001
678456071135691214310 ~2000
678459503135691900710 ~2000
678466331135693266310 ~2000
678482891135696578310 ~2000
678485063135697012710 ~2000
678497063135699412710 ~2000
Exponent Prime Factor Digits Year
678512099135702419910 ~2000
678551771135710354310 ~2000
678593941407156364710 ~2001
678650699135730139910 ~2000
678650783135730156710 ~2000
678656351135731270310 ~2000
6786583691628780085711 ~2003
678658679135731735910 ~2000
678663977407198386310 ~2001
678667919135733583910 ~2000
678688253407212951910 ~2001
678689411135737882310 ~2000
678704399135740879910 ~2000
678708479135741695910 ~2000
678708479542966783310
678716639135743327910 ~2000
678740399135748079910 ~2000
678750389950250544710 ~2002
678756371135751274310 ~2000
678761423135752284710 ~2000
678773351135754670310 ~2000
678844403135768880710 ~2000
678892031135778406310 ~2000
6789114131086258260911 ~2002
678947663135789532710 ~2000
3324
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25-05-04