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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.
Exp. Prime Factor Digits Year
5221001417680098 ~1985
52211291253070979 ~1986
52212831253107939 ~1986
5221373313282398 ~1985
5221451104429038 ~1983
52218291566548719 ~1986
5222057731087998 ~1986
5222099417767938 ~1985
5222183104443678 ~1983
5222297417783778 ~1985
52223095326755199 ~1988
5222411104448238 ~1983
5222801313368078 ~1985
5222879104457598 ~1983
5222963104459278 ~1983
5222993313379598 ~1985
5223083104461678 ~1983
5223227417858178 ~1985
52232872507177779 ~1987
5223371104467438 ~1983
5223611104472238 ~1983
5223671104473438 ~1983
5223731417898498 ~1985
5223853313431198 ~1985
5224229417938338 ~1985
Exp. Prime Factor Digits Year
52243391253841379 ~1986
5224643104492878 ~1983
52246431253914339
5224811104496238 ~1983
5224931104498638 ~1983
5224991104499838 ~1983
5225039104500798 ~1983
5225107522510718 ~1985
5225173313510398 ~1985
5225201313512078 ~1985
5225369418029538 ~1985
5225471104509438 ~1983
52255092508244339 ~1987
52255331149617279 ~1986
5225821313549278 ~1985
5225993313559598 ~1985
5226077313564638 ~1985
5226517313591038 ~1985
5226847522684718 ~1985
5226983104539678 ~1983
5227073313624398 ~1985
5227283104545678 ~1983
5227501313650078 ~1985
5227507522750718 ~1985
5227591836414578 ~1986
Exp. Prime Factor Digits Year
5227769418221538 ~1985
5227769731887678
5228159104563198 ~1983
5228263522826318 ~1985
5228339104566798 ~1983
52284374914730799 ~1988
5228453731983438 ~1986
5228473313708398 ~1985
5228539522853918 ~1985
5228651104573038 ~1983
5228761313725678 ~1985
5228777732028798 ~1986
52289211986989999 ~1987
52289631359530399 ~1986
5228969418317538 ~1985
5229071104581438 ~1983
5229151522915118 ~1985
5229299104585998 ~1983
5229377313762638 ~1985
5229391522939118 ~1985
5229443104588878 ~1983
5229491104589838 ~1983
52295691673462099 ~1986
5229661313779678 ~1985
5229857418388578 ~1985
Exp. Prime Factor Digits Year
5229911941383998 ~1986
5229943522994318 ~1985
5230021313801278 ~1985
5230193313811598 ~1985
5230259104605198 ~1983
5230397418431778 ~1985
5230399523039918 ~1985
5230691104613838 ~1983
5230837313850238 ~1985
5230921313855278 ~1985
5230997732339598 ~1986
52310292092411619 ~1987
5231111104622238 ~1983
5231311523131118 ~1985
52314112197192639 ~1987
5231483104629678 ~1983
5231701313902078 ~1985
5231827523182718 ~1985
5232559523255918 ~1985
5232761418620898 ~1985
5232977418638178 ~1985
5233043104660878 ~1983
5233133313987998 ~1985
5233139104662798 ~1983
5233223104664478 ~1983
695
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25-04-13