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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
5559271911445410696711 ~2002
5559651411667895423111 ~2002
555965237444772189710 ~2001
556019699111203939910 ~1999
556043399111208679910 ~1999
556057319111211463910 ~1999
556126421333675852710 ~2000
556128323111225664710 ~1999
556146203111229240710 ~1999
556179397333707638310 ~2000
556182899111236579910 ~1999
556186619111237323910 ~1999
556199471111239894310 ~1999
556203611444962888910 ~2001
556213739111242747910 ~1999
556229699111245939910 ~1999
556230959111246191910 ~1999
556240753333744451910 ~2000
556250861445000688910 ~2001
556257899111251579910 ~1999
556259783111251956710 ~1999
5563029071001345232711 ~2002
556311271890098033710 ~2002
556320851111264170310 ~1999
556326983111265396710 ~1999
Exponent Prime Factor Digits Year
556381537333828922310 ~2000
556384043111276808710 ~1999
556403137333841882310 ~2000
5564128873561042476911 ~2003
556413503111282700710 ~1999
556434353333860611910 ~2000
556436423111287284710 ~1999
556439369445151495310 ~2001
556446623111289324710 ~1999
556478579111295715910 ~1999
556515823556515823110 ~2001
556524011445219208910 ~2001
556528787445223029710 ~2001
556534031111306806310 ~1999
556544819111308963910 ~1999
556580903111316180710 ~1999
556595531111319106310 ~1999
556602719111320543910 ~1999
556604897333962938310 ~2000
556619951111323990310 ~1999
556622051111324410310 ~1999
556631213333978727910 ~2000
556643963111328792710 ~1999
556690859111338171910 ~1999
556696121445356896910 ~2001
Exponent Prime Factor Digits Year
556708093890732948910 ~2002
556710937334026562310 ~2000
556721183111344236710 ~1999
556740659111348131910 ~1999
556743841334046304710 ~2000
556757977334054786310 ~2000
556771427445417141710 ~2001
556772231111354446310 ~1999
556780571111356114310 ~1999
556781363111356272710 ~1999
556794593334076755910 ~2000
556813199111362639910 ~1999
556822499111364499910 ~1999
556824841890919745710 ~2002
556827863111365572710 ~1999
556831031111366206310 ~1999
556838341334103004710 ~2000
556840523111368104710 ~1999
556858717334115230310 ~2000
556886753334132051910 ~2000
556912931111382586310 ~1999
556919411111383882310 ~1999
556923683111384736710 ~1999
556938929445551143310 ~2001
556980071111396014310 ~1999
Exponent Prime Factor Digits Year
556983491111396698310 ~1999
556989119445591295310 ~2001
557004293334202575910 ~2000
557012003111402400710 ~1999
557028061334216836710 ~2000
557032169445625735310 ~2001
557032919111406583910 ~1999
557036279111407255910 ~1999
557040839111408167910 ~1999
557046029779864440710 ~2001
557059571111411914310 ~1999
557062799111412559910 ~1999
557087423111417484710 ~1999
557098523111419704710 ~1999
557100851111420170310 ~1999
557108677334265206310 ~2000
557111339111422267910 ~1999
557141999111428399910 ~1999
557164841445731872910 ~2001
557178701445742960910 ~2001
557198639111439727910 ~1999
557225171111445034310 ~1999
557228459111445691910 ~1999
557264069445811255310 ~2001
557309303111461860710 ~1999
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