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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
2026567486376098 ~1983
2026639202663918 ~1982
2026679486402978 ~1983
2026721121603278 ~1981
2026729810691618 ~1983
2026733283742638 ~1982
202675140535037 ~1980
202676340535277 ~1980
2026769162141538 ~1982
2026987202698718 ~1982
2027093121625598 ~1981
2027111527048878 ~1983
2027237121634238 ~1981
2027237283813198
2027371202737118 ~1982
2027411162192898 ~1982
20274111135350179
2027507364951278 ~1983
2027561162204898 ~1982
2027569973233138 ~1984
2027609486626178 ~1983
2027747162219778 ~1982
202784340556877 ~1980
2027873283902238 ~1982
2027897162231778 ~1982
Exp. Prime Factor Digits Year
2028077162246178 ~1982
202817940563597 ~1980
202820340564077 ~1980
202826340565277 ~1980
2028319689628478 ~1983
202835940567197 ~1980
202837140567437 ~1980
2028373121702398 ~1981
2028401121704078 ~1981
2028581608574318 ~1983
202886340577277 ~1980
2028931852151038 ~1983
2029003486960738 ~1983
2029123202912318 ~1982
202919940583997 ~1980
202927140585437 ~1980
20292836980733539 ~1986
2029301608790318 ~1983
2029331162346498 ~1982
20294111948234579 ~1984
2029439365299038 ~1983
2029453324712498 ~1982
2029549974183538 ~1984
202979940595997 ~1980
2029873121792398 ~1981
Exp. Prime Factor Digits Year
2029997487199298 ~1983
2030117121807038 ~1981
203024340604877 ~1980
203029140605837 ~1980
2030309609092718 ~1983
2030381974582898 ~1984
20303931746137999 ~1984
2030459487310178 ~1983
2030737121844238 ~1981
2030947324951538 ~1982
2030947365570478
203099940619997 ~1980
2031059162484738 ~1982
2031067365592078 ~1983
2031077121864638 ~1981
2031397121883838 ~1981
203156340631277 ~1980
2031593121895598 ~1981
2031611162528898 ~1982
2031691203169118 ~1982
2031703690779038 ~1983
203177940635597 ~1980
203179140635837 ~1980
2032109162568738 ~1982
2032157487717698 ~1983
Exp. Prime Factor Digits Year
2032171325147378 ~1982
2032357609707118 ~1983
203240340648077 ~1980
203255940651197 ~1980
20326216463734799 ~1986
203264340652877 ~1980
2032711325233778 ~1982
2032777487866498 ~1983
203279940655997 ~1980
2032799365903838
2032937284611198 ~1982
2032951203295118 ~1982
2032973121978398 ~1981
203299140659837 ~1980
2033093121985598 ~1981
2033201609960318 ~1983
2033243528643198 ~1983
2033257121995438 ~1981
2033309284663278 ~1982
2033363650676178 ~1983
2033377122002638 ~1981
2033459162676738 ~1982
203354340670877 ~1980
203371140674237 ~1980
2033711162696898
387
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25-05-04