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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
7999241479954478 ~1986
7999417479965038 ~1986
7999613479976798 ~1986
7999811159996238 ~1985
7999921479995278 ~1986
80000531280008499 ~1987
8000231160004638 ~1985
8000579160011598 ~1985
8000651160013038 ~1985
8000677480040638 ~1986
8000831160016638 ~1985
8000893480053598 ~1986
8001197134420109710 ~1990
8001281640102498 ~1986
8001659160033198 ~1985
80018411760405039 ~1987
8002073480124398 ~1986
8002103160042078 ~1985
8002193480131598 ~1986
8002271640181698 ~1986
8002283160045678 ~1985
8002297480137838 ~1986
8002517480151038 ~1986
8002691160053838 ~1985
8002931160058638 ~1985
Exp. Prime Factor Digits Year
8003201480192078 ~1986
8003231640258498 ~1986
8003423160068478 ~1985
8003483160069678 ~1985
8003531640282498 ~1986
8003657480219438 ~1986
8003819160076398 ~1985
8004071160081438 ~1985
8004121480247278 ~1986
8004653480279198 ~1986
8004673480280398 ~1986
8004911160098238 ~1985
8004917230541609710 ~1990
80050272721709199 ~1988
8005103160102078 ~1985
8005271160105438 ~1985
8005379160107598 ~1985
8005499160109998 ~1985
8005649640451938 ~1986
80056933682618799 ~1988
8006483160129678 ~1985
8006819640545538 ~1986
8006941480416478 ~1986
8007011160140238 ~1985
80070471441268479 ~1987
Exp. Prime Factor Digits Year
8007071160141438 ~1985
8007091800709118 ~1987
8007491160149838 ~1985
8007557480453438 ~1986
8007673480460398 ~1986
8007733480463998 ~1986
8007821640625698 ~1986
8007851640628098 ~1986
8008211160164238 ~1985
8008373480502398 ~1986
80084531761859679 ~1987
8008523160170478 ~1985
8008597480515838 ~1986
8008877480532638 ~1986
80090092562882899 ~1988
8009219160184398 ~1985
80092914004645519 ~1988
8009293480557598 ~1986
8009759160195198 ~1985
8009893480593598 ~1986
8009999160199998 ~1985
8010011160200238 ~1985
8010113480606798 ~1986
8010239160204798 ~1985
8010251160205038 ~1985
Exp. Prime Factor Digits Year
8010263160205278 ~1985
8010481480628878 ~1986
80104811762305839
8010839160216798 ~1985
8010839640867138
8010853480651198 ~1986
80110071441981279 ~1987
8011261480675678 ~1986
8011319160226398 ~1985
8011937480716238 ~1986
80119672083111439 ~1988
8012003160240078 ~1985
8012519160250398 ~1985
8012791801279118 ~1987
8012801480768078 ~1986
8012959801295918 ~1987
80133293846397939 ~1988
8013487801348718 ~1987
8013521480811278 ~1986
8013623160272478 ~1985
8013757480825438 ~1986
8014033480841998 ~1986
8014141480848478 ~1986
8014343160286878 ~1985
8014679160293598 ~1985
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