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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
689991611137998322310 ~2000
689994923137998984710 ~2000
6900096671104015467311 ~2002
690014159138002831910 ~2000
690017591138003518310 ~2000
690050363138010072710 ~2000
690060803138012160710 ~2000
690074051138014810310 ~2000
6900815592760326236111 ~2003
690147553414088531910 ~2001
690153887552123109710 ~2002
690154463138030892710 ~2000
690165647552132517710 ~2002
690171539138034307910 ~2000
690197191690197191110 ~2002
690204143138040828710 ~2000
690209519138041903910 ~2000
690216203138043240710 ~2000
6902385131104381620911 ~2002
690239279138047855910 ~2000
690247919138049583910 ~2000
690253043138050608710 ~2000
690267899138053579910 ~2000
690279179138055835910 ~2000
690281437414168862310 ~2001
Exponent Prime Factor Digits Year
690329639138065927910 ~2000
690345983138069196710 ~2000
690360323138072064710 ~2000
690376811138075362310 ~2000
690396599138079319910 ~2000
6904016231104642596911 ~2002
690403823138080764710 ~2000
690413771138082754310 ~2000
690440501414264300710 ~2001
690461591138092318310 ~2000
690479963138095992710 ~2000
690508961552407168910 ~2002
690547163138109432710 ~2000
690578939138115787910 ~2000
690590399138118079910 ~2000
690610981414366588710 ~2001
690645971138129194310 ~2000
690709511138141902310 ~2000
690716639138143327910 ~2000
690716651138143330310 ~2000
690727139138145427910 ~2000
690728891138145778310 ~2000
690753659138150731910 ~2000
690754763138150952710 ~2000
690767939138153587910 ~2000
Exponent Prime Factor Digits Year
690790679138158135910 ~2000
690813743138162748710 ~2000
690824171138164834310 ~2000
690826991138165398310 ~2000
690831671138166334310 ~2000
690832283138166456710 ~2000
690842917414505750310 ~2001
6908490233868754528911 ~2004
690850691138170138310 ~2000
690873587552698869710 ~2002
690889091138177818310 ~2000
690907541552726032910 ~2002
690913367552730693710 ~2002
690920941414552564710 ~2001
690933563138186712710 ~2000
690952331138190466310 ~2000
691029077552823261710 ~2002
691041311138208262310 ~2000
691045919138209183910 ~2000
691047241414628344710 ~2001
691058477414635086310 ~2001
691074179138214835910 ~2000
69107780911610107191312 ~2005
691082939138216587910 ~2000
691088681552870944910 ~2002
Exponent Prime Factor Digits Year
691102739138220547910 ~2000
691107731138221546310 ~2000
691119133414671479910 ~2001
691120799138224159910 ~2000
691121831138224366310 ~2000
691134551552907640910 ~2002
691138241414682944710 ~2001
691186577414711946310 ~2001
691190897967667255910 ~2002
691207931138241586310 ~2000
691236863138247372710 ~2000
691241801414745080710 ~2001
691260263138252052710 ~2000
691309727553047781710 ~2002
691365491553092392910 ~2002
691387379138277475910 ~2000
691392893414835735910 ~2001
691393897414836338310 ~2001
691407851138281570310 ~2000
691424171553139336910 ~2002
691446383138289276710 ~2000
691451759138290351910 ~2000
6914624411106339905711 ~2002
691488467553190773710 ~2002
691493483138298696710 ~2000
3700
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26-03-15