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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
31049699620993998 ~1989
310501134347015839 ~1992
31050191621003838 ~1989
31050203621004078 ~1989
31051151621023038 ~1989
31051703621034078 ~1989
31051763621035278 ~1989
31052039621040798 ~1989
31052291621045838 ~1989
31052303621046078 ~1989
31052639621052798 ~1989
31053383621067678 ~1989
31053443621068878 ~1989
31053623621072478 ~1989
310538811863232879 ~1991
310539774347556799 ~1992
31054043621080878 ~1989
31054091621081838 ~1989
310546131863276799 ~1991
31054739621094798 ~1989
31054871621097438 ~1989
31055891621117838 ~1989
310562395590123039 ~1992
310572531863435199 ~1991
31057391621147838 ~1989
Exponent Prime Factor Digits Year
31057703621154078 ~1989
31057931621158638 ~1989
31058519621170398 ~1989
310587611863525679 ~1991
31059023621180478 ~1989
31059071621181438 ~1989
31059191621183838 ~1989
31059299621185998 ~1989
310594497454267779 ~1992
310598931863593599 ~1991
310611131863666799 ~1991
31061183621223678 ~1989
31061423621228478 ~1989
31062623621252478 ~1989
31064003621280078 ~1989
31064063621281278 ~1989
31064279621285598 ~1989
310645211863871279 ~1991
31064543621290878 ~1989
31064609167748888710 ~1993
310646531863879199 ~1991
31065011621300238 ~1989
31065071621301438 ~1989
31065431621308638 ~1989
31065803621316078 ~1989
Exponent Prime Factor Digits Year
31066043621320878 ~1989
31066103621322078 ~1989
31066823621336478 ~1989
31067051621341038 ~1989
31067243621344878 ~1989
31067639621352798 ~1989
31067999621359998 ~1989
31068071621361438 ~1989
31068371621367438 ~1989
31068491621369838 ~1989
31068683621373678 ~1989
31068731621374638 ~1989
310693096835247999 ~1992
31069631621392638 ~1989
31070003621400078 ~1989
310705731864234399 ~1991
31070987155354935110 ~1993
31071179621423598 ~1989
310721771864330639 ~1991
31072259621445198 ~1989
31072823621456478 ~1989
31073183621463678 ~1989
31073351621467038 ~1989
31073411621468238 ~1989
310735211864411279 ~1991
Exponent Prime Factor Digits Year
31074119621482398 ~1989
31074479621489598 ~1989
31074551621491038 ~1989
310749411864496479 ~1991
31075043621500878 ~1989
31075703621514078 ~1989
31075871621517438 ~1989
31076351621527038 ~1989
31077659621553198 ~1989
31078403621568078 ~1989
310788472486307779 ~1991
31079159621583198 ~1989
31079351621587038 ~1989
31079579621591598 ~1989
31080671621613438 ~1989
31081019621620398 ~1989
31081103621622078 ~1989
31081163621623278 ~1989
31081343621626878 ~1989
31081619621632398 ~1989
31081643621632878 ~1989
31081679621633598 ~1989
31081931621638638 ~1989
31082279621645598 ~1989
31082543621650878 ~1989
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25-07-08