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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
5554694572110783936711 ~2002
555470521333282312710 ~2000
555473587999852456710 ~2002
555484991111096998310 ~1999
5554864331333167439311 ~2002
555489191111097838310 ~1999
555489503111097900710 ~1999
555502469444401975310 ~2001
555504431111100886310 ~1999
555508391444406712910 ~2001
555511163111102232710 ~1999
555525493333315295910 ~2000
555545411111109082310 ~1999
555588773333353263910 ~2000
555619919111123983910 ~1999
555630359111126071910 ~1999
555631403111126280710 ~1999
555642443111128488710 ~1999
555657743111131548710 ~1999
555659003111131800710 ~1999
555692723111138544710 ~1999
555730843555730843110 ~2001
555735539111147107910 ~1999
555757913333454747910 ~2000
555774911111154982310 ~1999
Exponent Prime Factor Digits Year
555795143111159028710 ~1999
555826637778157291910 ~2001
555834011111166802310 ~1999
555837299444669839310 ~2001
555847823111169564710 ~1999
555867083111173416710 ~1999
555882611111176522310 ~1999
5559028692668333771311 ~2003
555906203111181240710 ~1999
555916217333549730310 ~2000
5559271911445410696711 ~2002
5559651411667895423111 ~2002
555965237444772189710 ~2001
556043399111208679910 ~1999
556057319111211463910 ~1999
556126421333675852710 ~2000
556128323111225664710 ~1999
556146203111229240710 ~1999
556179397333707638310 ~2000
556182899111236579910 ~1999
556186619111237323910 ~1999
556199471111239894310 ~1999
556203611444962888910 ~2001
556213739111242747910 ~1999
556229699111245939910 ~1999
Exponent Prime Factor Digits Year
556230959111246191910 ~1999
556250861445000688910 ~2001
556257899111251579910 ~1999
556259783111251956710 ~1999
5563029071001345232711 ~2002
556311271890098033710 ~2002
556320851111264170310 ~1999
556326983111265396710 ~1999
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
556602719111320543910 ~1999
Exponent Prime Factor Digits Year
556619951111323990310 ~1999
556622051111324410310 ~1999
556631213333978727910 ~2000
556690859111338171910 ~1999
556708093890732948910 ~2002
556710937334026562310 ~2000
556721183111344236710 ~1999
556740659111348131910 ~1999
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
556853743556853743110 ~2001
556858717334115230310 ~2000
556886753334132051910 ~2000
556919411111383882310 ~1999
3216
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25-04-13