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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
834037751166807550310 ~2001
8340643678674269416911 ~2005
834101771166820354310 ~2001
834113941500468364710 ~2002
834133901500480340710 ~2002
834150563166830112710 ~2001
834151133500490679910 ~2002
834167123166833424710 ~2001
834180553500508331910 ~2002
834219623166843924710 ~2001
834231011166846202310 ~2001
834253103166850620710 ~2001
834283199667426559310 ~2002
834288097500572858310 ~2002
8342926072169160778311 ~2003
834294179166858835910 ~2001
834323771166864754310 ~2001
834324299166864859910 ~2001
834329423166865884710 ~2001
834336851166867370310 ~2001
834348659166869731910 ~2001
834378899166875779910 ~2001
8343961331335033812911 ~2003
8344015631335042500911 ~2003
834405683166881136710 ~2001
Exponent Prime Factor Digits Year
834414671166882934310 ~2001
834436153500661691910 ~2002
834438001500662800710 ~2002
834444959166888991910 ~2001
834510251166902050310 ~2001
834530243166906048710 ~2001
834538751166907750310 ~2001
834542171166908434310 ~2001
834547919166909583910 ~2001
834559181667647344910 ~2002
834570397500742238310 ~2002
834619211166923842310 ~2001
834620183166924036710 ~2001
834634799166926959910 ~2001
834656813500794087910 ~2002
834657179166931435910 ~2001
834709439166941887910 ~2001
834739097667791277710 ~2002
834756743166951348710 ~2001
834784859166956971910 ~2001
834810659166962131910 ~2001
834877091166975418310 ~2001
834886027834886027110 ~2002
834908603166981720710 ~2001
8349247492003819397711 ~2003
Exponent Prime Factor Digits Year
834946421667957136910 ~2002
835050479167010095910 ~2001
835083083167016616710 ~2001
8351023273340409308111 ~2004
835109519167021903910 ~2001
835134323167026864710 ~2001
835142723167028544710 ~2001
835144391167028878310 ~2001
835159511167031902310 ~2001
835188479167037695910 ~2001
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
Exponent Prime Factor Digits Year
835396343167079268710 ~2001
835452973501271783910 ~2002
835481411167096282310 ~2001
835519199167103839910 ~2001
835562213501337327910 ~2002
835567259668453807310 ~2002
835579319167115863910 ~2001
8356021931336963508911 ~2003
835609031167121806310 ~2001
835642513501385507910 ~2002
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
3410
GIMPS The Prime Pages FactorDb.com
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25-05-04