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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
8345279166905598 ~1985
8345377500722638 ~1986
8345399166907998 ~1985
8345651166913038 ~1985
8345723166914478 ~1985
83458916009041539 ~1989
8345951166919038 ~1985
83463531168489439 ~1987
8346713500802798 ~1986
8346839166936798 ~1985
8347151166943038 ~1985
8347271166945438 ~1985
83473096510901039 ~1989
8347309218699495910
8347511166950238 ~1985
8347523166950478 ~1985
8347741500864478 ~1986
8347817500869038 ~1986
8348177500890638 ~1986
8348423166968478 ~1985
83485331335765299 ~1987
8348843166976878 ~1985
8348981500938878 ~1986
8348993500939598 ~1986
8349119667929538 ~1986
Exp. Prime Factor Digits Year
8349251667940098 ~1986
8349359166987198 ~1985
8349557500973438 ~1986
8349701500982078 ~1986
8350099554446573710 ~1991
8350103167002078 ~1985
8350151167003038 ~1985
8350613501036798 ~1986
8350739167014798 ~1985
8350763167015278 ~1985
8351099167021998 ~1985
83515979186756719 ~1989
8351699167033998 ~1985
8351747668139778 ~1986
8351807668144578 ~1986
8351891167037838 ~1985
8351939167038798 ~1985
8352089668167138 ~1986
83520892004501379
8352173501130398 ~1986
83522214677243779 ~1989
8352251167045038 ~1985
8352341501140478 ~1986
8352803167056078 ~1985
83529234677636899 ~1989
Exp. Prime Factor Digits Year
83535611336569779 ~1987
8353859668308738 ~1986
8353861501231678 ~1986
8354051167081038 ~1985
8354057501243438 ~1986
8354161501249678 ~1986
8354713501282798 ~1986
83547135347016339
8354971213887257710 ~1990
8355133501307998 ~1986
8355299167105998 ~1985
8355323167106478 ~1985
8355419167108398 ~1985
8355617668449378 ~1986
8355731167114638 ~1985
8356151167123038 ~1985
83564998690758979 ~1989
8356559167131198 ~1985
8356879835687918 ~1987
8357039167140798 ~1985
8357053501423198 ~1986
8357099167141998 ~1985
8357711167154238 ~1985
8357933501475998 ~1986
8358241501494478 ~1986
Exp. Prime Factor Digits Year
8358397501503838 ~1986
8358419167168398 ~1985
8358491167169838 ~1985
8358569668685538 ~1986
83585991504547839 ~1987
8358661501519678 ~1986
83587312173270079 ~1988
8358737501524238 ~1986
8358881501532878 ~1986
8358923167178478 ~1985
8359201501552078 ~1986
8359343167186878 ~1985
8359621501577278 ~1986
83596973176684879 ~1988
8359811167196238 ~1985
8359811668784898
8359919167198398 ~1985
8359957501597438 ~1986
8359993501599598 ~1986
8360003167200078 ~1985
8360377501622638 ~1986
8361011167220238 ~1985
83611912173909679 ~1988
83613291170586079 ~1987
8361677501700638 ~1986
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