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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.
Exponent Prime Factor Digits Year
242412771454476639 ~1990
242415432424154319 ~1990
24241559484831198 ~1989
242421371454528239 ~1990
24242243484844878 ~1989
24242591484851838 ~1989
24243083484861678 ~1989
242431371454588239 ~1990
242433971454603839 ~1990
242437331454623999 ~1990
24244631484892638 ~1989
242447931454687599 ~1990
24244799484895998 ~1989
242449194364085439 ~1991
242460371454762239 ~1990
24246263484925278 ~1989
24246503484930078 ~1989
24246791484935838 ~1989
242470611454823679 ~1990
24247343484946878 ~1989
24247403484948078 ~1989
242474091939792739 ~1990
242475131454850799 ~1990
242478891939831139 ~1990
24248039484960798 ~1989
Exponent Prime Factor Digits Year
24248459484969198 ~1989
24249971484999438 ~1989
242500499215018639 ~1992
24250283485005678 ~1989
24250379485007598 ~1989
242504937275147919 ~1992
242506074365109279 ~1991
24250703485014078 ~1989
24251063485021278 ~1989
242516112425161119 ~1990
24251651485033038 ~1989
24251663485033278 ~1989
24251879485037598 ~1989
242521011455126079 ~1990
24252383485047678 ~1989
24252479485049598 ~1989
24252779485055598 ~1989
24253199485063998 ~1989
24253343485066878 ~1989
24253643485072878 ~1989
24254099485081998 ~1989
242545331455271999 ~1990
242545999701839619 ~1992
24254819485096398 ~1989
24255323485106478 ~1989
Exponent Prime Factor Digits Year
24255359485107198 ~1989
242553731455322399 ~1990
242553919702156419 ~1992
24255739116427547310 ~1992
24256079485121598 ~1989
24256163485123278 ~1989
24256643485132878 ~1989
24257339485146798 ~1989
24257399485147998 ~1989
24257483485149678 ~1989
242577131455462799 ~1990
24257771485155438 ~1989
24258323485166478 ~1989
24258551485171038 ~1989
24258743485174878 ~1989
24259199485183998 ~1989
24259223485184478 ~1989
242598432425984319 ~1990
242600511940804099 ~1990
24260459485209198 ~1989
242606113881697779 ~1991
242608571455651439 ~1990
242616171940929379 ~1990
24261683485233678 ~1989
242627811455766879 ~1990
Exponent Prime Factor Digits Year
24262919485258398 ~1989
24263243485264878 ~1989
242642114367557999 ~1991
24264371485287438 ~1989
242644333882309299 ~1991
24264479485289598 ~1989
242653571455921439 ~1990
24265751485315038 ~1989
24266171485323438 ~1989
242663691941309539 ~1990
24266843485336878 ~1989
24268019485360398 ~1989
24268463485369278 ~1989
242692575824621699 ~1991
24269363485387278 ~1989
24269603485392078 ~1989
242699571941596579 ~1990
242700899222633839 ~1992
24270443485408878 ~1989
242705991941647939 ~1990
242706291941650339 ~1990
24270671485413438 ~1989
24270803485416078 ~1989
242712171456273039 ~1990
24271343485426878 ~1989
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