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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
31064003621280078 ~1989
31064063621281278 ~1989
31064279621285598 ~1989
310645211863871279 ~1991
31064543621290878 ~1989
31064609167748888710 ~1993
310646531863879199 ~1991
31065011621300238 ~1989
31065071621301438 ~1989
31065431621308638 ~1989
31065803621316078 ~1989
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
Exponent Prime Factor Digits Year
31070003621400078 ~1989
310705731864234399 ~1991
31070987155354935110 ~1993
31071179621423598 ~1989
310721771864330639 ~1991
31072259621445198 ~1989
31072823621456478 ~1989
31073183621463678 ~1989
31073351621467038 ~1989
31073411621468238 ~1989
310735211864411279 ~1991
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
Exponent Prime Factor Digits Year
31080671621613438 ~1989
31081019621620398 ~1989
31081103621622078 ~1989
31081163621623278 ~1989
31081343621626878 ~1989
31081619621632398 ~1989
31081643621632878 ~1989
31081679621633598 ~1989
31081931621638638 ~1989
31082279621645598 ~1989
31082543621650878 ~1989
31083011621660238 ~1989
31083641248669128110 ~1993
31084811621696238 ~1989
31085363621707278 ~1989
31085459621709198 ~1989
31086563621731278 ~1989
31086791621735838 ~1989
310872914973966579 ~1992
31087319621746398 ~1989
310875411865252479 ~1991
31088279621765598 ~1989
31089011621780238 ~1989
31089059621781198 ~1989
31089431621788638 ~1989
Exponent Prime Factor Digits Year
31089563621791278 ~1989
31089911621798238 ~1989
31090151621803038 ~1989
31090991621819838 ~1989
31091173441494656710 ~1994
31091843621836878 ~1989
31092443621848878 ~1989
31092563621851278 ~1989
310936811865620879 ~1991
31094099621881998 ~1989
31094951621899038 ~1989
310956614975305779 ~1992
31095731621914638 ~1989
31095791621915838 ~1989
31095959621919198 ~1989
31096463621929278 ~1989
31097459621949198 ~1989
31097999621959998 ~1989
31098731621974638 ~1989
31099319621986398 ~1989
31099331621986638 ~1989
31099559621991198 ~1989
31099583621991678 ~1989
31099619621992398 ~1989
310997771865986639 ~1991
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25-04-13