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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
835216379167043275910 ~2001
835218119167043623910 ~2001
835236023167047204710 ~2001
835252877668202301710 ~2002
8352560691169358496711 ~2003
8352739692505821907111 ~2004
8352864071503515532711 ~2003
835286981668229584910 ~2002
835298231167059646310 ~2001
8353088095178914615911 ~2004
835316429668253143310 ~2002
835322363167064472710 ~2001
83535289712029081716912 ~2005
835367639167073527910 ~2001
835376603167075320710 ~2001
835396343167079268710 ~2001
835452973501271783910 ~2002
835481411167096282310 ~2001
835519199167103839910 ~2001
835562213501337327910 ~2002
835567259668453807310 ~2002
835579319167115863910 ~2001
8356021931336963508911 ~2003
835609031167121806310 ~2001
835642513501385507910 ~2002
Exponent Prime Factor Digits Year
835643183167128636710 ~2001
835681439167136287910 ~2001
835682891167136578310 ~2001
835702943167140588710 ~2001
835732619167146523910 ~2001
835736483167147296710 ~2001
835739423167147884710 ~2001
835783057501469834310 ~2002
835831751167166350310 ~2001
8358512296519639586311 ~2005
835889399167177879910 ~2001
835911971167182394310 ~2001
835914263167182852710 ~2001
8359615376520499988711 ~2005
836040761668832608910 ~2002
836044151167208830310 ~2001
836102843167220568710 ~2001
836133563167226712710 ~2001
836144819167228963910 ~2001
836145911167229182310 ~2001
8361715793511920631911 ~2004
836192939167238587910 ~2001
836200511167240102310 ~2001
836249891167249978310 ~2001
836285537501771322310 ~2002
Exponent Prime Factor Digits Year
836286239167257247910 ~2001
836289203167257840710 ~2001
836303003167260600710 ~2001
836320223167264044710 ~2001
836345011836345011110 ~2002
836347511167269502310 ~2001
836357363167271472710 ~2001
83638865914218607203112 ~2005
836412179167282435910 ~2001
836412217501847330310 ~2002
836444639167288927910 ~2001
836470571167294114310 ~2001
836474897501884938310 ~2002
836475611167295122310 ~2001
836509217669207373710 ~2002
836517791167303558310 ~2001
836539637669231709710 ~2002
836551511167310302310 ~2001
836558713501935227910 ~2002
836568923167313784710 ~2001
836575973501945583910 ~2002
836581121669264896910 ~2002
836618819167323763910 ~2001
836632943167326588710 ~2001
8366743931338679028911 ~2003
Exponent Prime Factor Digits Year
836688397502013038310 ~2002
836749583167349916710 ~2001
836760839167352167910 ~2001
836762639167352527910 ~2001
8367632413347052964111 ~2004
836789641502073784710 ~2002
836846477502107886310 ~2002
836851643167370328710 ~2001
836863931669491144910 ~2002
836871863167374372710 ~2001
836897903167379580710 ~2001
836927099167385419910 ~2001
8369299695356351801711 ~2004
836947717502168630310 ~2002
837017039167403407910 ~2001
837022633502213579910 ~2002
837025751167405150310 ~2001
837035587837035587110 ~2002
837042179167408435910 ~2001
8371249572009099896911 ~2003
8371292592009110221711 ~2003
837149903167429980710 ~2001
837192437502315462310 ~2002
837218663167443732710 ~2001
837257639167451527910 ~2001
3385
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25-04-13