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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
69931871678364899 ~1987
6993269559461538 ~1986
69934791678434979 ~1987
6993671139873438 ~1984
69936731538608079 ~1987
6993839139876798 ~1984
6994373979212238 ~1987
6994703139894078 ~1984
6994751559580098 ~1986
6994817559585378 ~1986
6995123139902478 ~1984
69952071259137279 ~1987
69953892098616719 ~1987
6995693419741598 ~1986
69960973218204639 ~1988
6996191139923838 ~1984
69962711119403379 ~1987
69964191259355439 ~1987
69964612658655199 ~1988
6996491139929838 ~1984
69968391679241379 ~1987
6996907699690718 ~1986
6997043139940878 ~1984
69970635737591679 ~1988
6997283139945678 ~1984
Exp. Prime Factor Digits Year
6997457419847438 ~1986
6997499559799938 ~1986
6997559139951198 ~1984
69975978397116419 ~1989
69976071679425699 ~1987
6997649559811938 ~1986
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
Exp. Prime Factor Digits Year
7000739140014798 ~1984
7000739560059138
7001003140020078 ~1984
7001021420061278 ~1986
70012373360593779 ~1988
70017131680411139 ~1987
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
Exp. Prime Factor Digits Year
7004611700461118 ~1986
7004759140095198 ~1984
7004909560392738 ~1986
7005059140101198 ~1984
7005161560412898 ~1986
7005203140104078 ~1984
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
837
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25-07-08