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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
691407851138281570310 ~2000
691424171553139336910 ~2002
691446383138289276710 ~2000
691451759138290351910 ~2000
6914624411106339905711 ~2002
691488467553190773710 ~2002
691493483138298696710 ~2000
6915045731106407316911 ~2002
691511603138302320710 ~2000
691512803138302560710 ~2000
691562279138312455910 ~2000
691569617414941770310 ~2001
691572641414943584710 ~2001
691573703138314740710 ~2000
691583813414950287910 ~2001
691586543138317308710 ~2000
691617539138323507910 ~2000
691618043138323608710 ~2000
691627823138325564710 ~2000
691628183138325636710 ~2000
691629023138325804710 ~2000
691633277414979966310 ~2001
691634711138326942310 ~2000
691651739138330347910 ~2000
691672451138334490310 ~2000
Exponent Prime Factor Digits Year
691676291138335258310 ~2000
691682083691682083110 ~2002
691693643138338728710 ~2000
691696079138339215910 ~2000
691703843138340768710 ~2000
691731707553385365710 ~2002
691755671138351134310 ~2000
691757051138351410310 ~2000
691757663138351532710 ~2000
691787693415072615910 ~2001
691800971138360194310 ~2000
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
Exponent Prime Factor Digits Year
692014343138402868710 ~2000
692043371553634696910 ~2002
692046419138409283910 ~2000
692048243138409648710 ~2000
692069123138413824710 ~2000
692072651138414530310 ~2000
692111243138422248710 ~2000
692111663138422332710 ~2000
692135231138427046310 ~2000
692139179138427835910 ~2000
6921675013183970504711 ~2003
692178923138435784710 ~2000
692203103138440620710 ~2000
6922062371107529979311 ~2002
692210999138442199910 ~2000
692228951138445790310 ~2000
692239573415343743910 ~2001
692266753415360051910 ~2001
692294159138458831910 ~2000
692295083138459016710 ~2000
692317271138463454310 ~2000
692323013415393807910 ~2001
692375891138475178310 ~2000
692394611138478922310 ~2000
692413619553930895310 ~2002
Exponent Prime Factor Digits Year
692450651138490130310 ~2000
692499911138499982310 ~2000
692511191138502238310 ~2000
692534963138506992710 ~2000
6925370771108059323311 ~2002
692538941415523364710 ~2001
692547431138509486310 ~2000
692553791138510758310 ~2000
692554871138510974310 ~2000
692572561415543536710 ~2001
6925741992354752276711 ~2003
692575703138515140710 ~2000
692595551138519110310 ~2000
6925991291662237909711 ~2003
692627891138525578310 ~2000
692655167554124133710 ~2002
692662213415597327910 ~2001
6927022791246864102311 ~2002
692740781415644468710 ~2001
692744963138548992710 ~2000
692789843138557968710 ~2000
6928194671662766720911 ~2003
692826779138565355910 ~2000
692836103138567220710 ~2000
692863163138572632710 ~2000
3659
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26-02-08