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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
6997687699768718 ~1986
6998063139961278 ~1984
6998107699810718 ~1986
6998171139963438 ~1984
6998177419890638 ~1986
6998471139969438 ~1984
6998833419929998 ~1986
6999059139981198 ~1984
6999071559925698 ~1986
6999533419971998 ~1986
6999539139990798 ~1984
69996473919802339 ~1988
6999731139994638 ~1984
6999857419991438 ~1986
7000121560009698 ~1986
7000241420014478 ~1986
7000373420022398 ~1986
7000577420034638 ~1986
7000657420039438 ~1986
7000739140014798 ~1984
7000739560059138
7001003140020078 ~1984
7001021420061278 ~1986
70012373360593779 ~1988
70017131680411139 ~1987
Exp. Prime Factor Digits Year
7001723140034478 ~1984
7002019700201918 ~1986
7002053420123198 ~1986
7002071140041438 ~1984
7002397420143838 ~1986
7002491140049838 ~1984
70026371120421939 ~1987
7002899140057998 ~1984
7002917560233378 ~1986
7003021420181278 ~1986
7003091140061838 ~1984
7003097420185838 ~1986
7003639700363918 ~1986
7003679140073598 ~1984
7003739560299138 ~1986
7003943140078878 ~1984
7004099140081998 ~1984
70043831120701299 ~1987
7004429560354338 ~1986
7004611700461118 ~1986
7004759140095198 ~1984
7004909560392738 ~1986
7005059140101198 ~1984
7005161560412898 ~1986
7005203140104078 ~1984
Exp. Prime Factor Digits Year
7005359140107198 ~1984
7005371140107438 ~1984
7005521420331278 ~1986
70056131681347139 ~1987
7005673420340398 ~1986
70057433502871519 ~1988
7005809980813278 ~1987
7005899140117998 ~1984
7006133290053906310 ~1990
7006361560508898 ~1986
7006537420392238 ~1986
7006621420397278 ~1986
70067511821755279 ~1987
70068911261240399 ~1987
7006981420418878 ~1986
7007087560566978 ~1986
7007137420428238 ~1986
70071593503579519 ~1988
7007303140146078 ~1984
7007437420446238 ~1986
7007461420447678 ~1986
7007471140149438 ~1984
7007563700756318 ~1986
7007969560637538 ~1986
7008013420480798 ~1986
Exp. Prime Factor Digits Year
70081811121308979 ~1987
7008251140165038 ~1984
70086012803440419 ~1988
7008851560708098 ~1986
7009183700918318 ~1986
7009199140183998 ~1984
7009313420558798 ~1986
7009553981337438 ~1987
7009643140192878 ~1984
7009823140196478 ~1984
7010111560808898 ~1986
7010351140207038 ~1984
7010459560836738 ~1986
7010537560842978 ~1986
7010879140217598 ~1984
7010891140217838 ~1984
70112831682707939 ~1987
7011659140233198 ~1984
7011799701179918 ~1986
70119191682860579 ~1987
7012199140243998 ~1984
7012223140244478 ~1984
7012331140246638 ~1984
7012337420740238 ~1986
7012367560989378 ~1986
835
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25-06-15