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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
690709511138141902310 ~2000
690716639138143327910 ~2000
690727139138145427910 ~2000
690753659138150731910 ~2000
690767939138153587910 ~2000
690790679138158135910 ~2000
690813743138162748710 ~2000
690824171138164834310 ~2000
690826991138165398310 ~2000
690831671138166334310 ~2000
690832283138166456710 ~2000
690842917414505750310 ~2001
6908490233868754528911 ~2004
690850691138170138310 ~2000
690873587552698869710 ~2002
690889091138177818310 ~2000
690907541552726032910 ~2002
690920941414552564710 ~2001
690933563138186712710 ~2000
691029077552823261710 ~2002
691041311138208262310 ~2000
691047241414628344710 ~2001
691058477414635086310 ~2001
69107780911610107191312 ~2005
691082939138216587910 ~2000
Exponent Prime Factor Digits Year
691088681552870944910 ~2002
691102739138220547910 ~2000
691107731138221546310 ~2000
691119133414671479910 ~2001
691120799138224159910 ~2000
691121831138224366310 ~2000
691134551552907640910 ~2002
691138241414682944710 ~2001
691186577414711946310 ~2001
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
691493483138298696710 ~2000
6915045731106407316911 ~2002
Exponent Prime Factor Digits Year
691511603138302320710 ~2000
691562279138312455910 ~2000
691569617414941770310 ~2001
691572641414943584710 ~2001
691573703138314740710 ~2000
691583813414950287910 ~2001
691617539138323507910 ~2000
691618043138323608710 ~2000
691627823138325564710 ~2000
691628183138325636710 ~2000
691629023138325804710 ~2000
691633277414979966310 ~2001
691634711138326942310 ~2000
691651739138330347910 ~2000
691672451138334490310 ~2000
691676291138335258310 ~2000
691682083691682083110 ~2002
691693643138338728710 ~2000
691696079138339215910 ~2000
691703843138340768710 ~2000
691731707553385365710 ~2002
691755671138351134310 ~2000
691757051138351410310 ~2000
691757663138351532710 ~2000
691787693415072615910 ~2001
Exponent Prime Factor Digits Year
6918114231798709699911 ~2003
691832857415099714310 ~2001
691840091138368018310 ~2000
691855319138371063910 ~2000
691858619138371723910 ~2000
691882403138376480710 ~2000
691882799138376559910 ~2000
691896743138379348710 ~2000
691921211138384242310 ~2000
691921319138384263910 ~2000
691939343138387868710 ~2000
691977983138395596710 ~2000
691979243138395848710 ~2000
692000219138400043910 ~2000
692014343138402868710 ~2000
692043371553634696910 ~2002
692048243138409648710 ~2000
692069123138413824710 ~2000
692072651138414530310 ~2000
692111243138422248710 ~2000
692111663138422332710 ~2000
692135231138427046310 ~2000
6921675013183970504711 ~2003
692178923138435784710 ~2000
692203103138440620710 ~2000
3374
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25-06-08