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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
3123061187383678 ~1983
3123061687073438
3123181187390878 ~1983
31232872061369439 ~1985
31234991311869599 ~1985
312362362472477 ~1982
312367162473437 ~1982
3123671249893698
3123689437316478 ~1984
3123709749690178 ~1984
31238595248083139 ~1986
312386362477277 ~1982
312395962479197 ~1982
3123973187438398 ~1983
3123977187438638 ~1983
3124117187447038 ~1983
3124171499867378 ~1984
3124307249944578 ~1983
3124313187458798 ~1983
3124313437403838
3124421187465278 ~1983
3124691562444398 ~1984
3124811562465998 ~1984
3124843499974898 ~1984
312487162497437 ~1982
Exp. Prime Factor Digits Year
3124883749971938 ~1984
3124963499994098 ~1984
31249998749997219 ~1987
3125009437501278 ~1984
3125021250001698 ~1983
3125051562509198 ~1984
312509962501997 ~1982
312518362503677 ~1982
3125257500041138 ~1984
312535162507037 ~1982
312545962509197 ~1982
3125527562594878 ~1984
3125737187544238 ~1983
3125809687677998 ~1984
3125921937776318 ~1985
3126031500164978 ~1984
31263533001298899 ~1986
3126509250120738 ~1983
3126661187599678 ~1983
3126727500276338 ~1984
312673162534637 ~1982
31267911313252239 ~1985
3126857187611438 ~1983
3126901938070318 ~1985
3127009687941998 ~1984
Exp. Prime Factor Digits Year
3127021687944638 ~1984
312713962542797 ~1982
31274412752148099 ~1986
312745162549037 ~1982
3127567500410738 ~1984
31276011188488399 ~1985
3127889437904478 ~1984
3127981187678878 ~1983
3128173750761538 ~1984
312829162565837 ~1982
3128381250270498 ~1983
3128501187710078 ~1983
3128651250292098 ~1983
3128767312876718 ~1983
31287791501813939 ~1985
3128803312880318 ~1983
3128927563206878 ~1984
31290191063866479 ~1985
3129193688422478 ~1984
3129257250340578 ~1983
312932362586477 ~1982
312938362587677 ~1982
3129601187776078 ~1983
3129611563329998 ~1984
31298035320665119 ~1986
Exp. Prime Factor Digits Year
3129827250386178 ~1983
3129859312985918 ~1983
3129947250395778 ~1983
3129953751188738 ~1984
3130019563403438 ~1984
3130297500847538 ~1984
313055962611197 ~1982
3130619563511438 ~1984
31306271502700979 ~1985
3130819313081918 ~1983
313087162617437 ~1982
3130901187854078 ~1983
3130993187859598 ~1983
3130997187859838 ~1983
3131021250481698 ~1983
3131041187862478 ~1983
3131113187866798 ~1983
313112362622477 ~1982
31311731252469219 ~1985
3131237187874238 ~1983
3131321187879278 ~1983
313133962626797 ~1982
3131441250515298 ~1983
313148362629677 ~1982
3131551563679198 ~1984
529
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26-03-29