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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
103946320789277 ~1978
1039469145525678 ~1980
10394772245270339 ~1983
103960783168577 ~1979
10397899295713679 ~1984
103979920795997 ~1978
103982320796477 ~1978
1039823249557538
103990183192097 ~1979
103993120798637 ~1978
1039931187187598
1039999187199838 ~1980
1040059104005918 ~1980
1040093145613038 ~1980
1040113228824878 ~1981
10402031601912639 ~1983
104021920804397 ~1978
1040311166449778 ~1980
1040327520163518 ~1981
104033920806797 ~1978
1040411106746168710 ~1985
104057920811597 ~1978
104059762435837 ~1979
104059783247777
104065762439437 ~1979
Exp. Prime Factor Digits Year
1040747249779298 ~1981
104089183271297 ~1979
104093983275137 ~1979
104095120819037 ~1978
1041083770401438 ~1982
1041223166595698 ~1980
1041239520619518 ~1981
104125362475197 ~1979
1041281499814898 ~1981
104137362482397 ~1979
1041421499882098 ~1981
1041451604041598 ~1982
1041497812367678 ~1982
104156320831277 ~1978
1041563249975138
104161783329377 ~1979
104167120833437 ~1978
104170162502077 ~1979
104173762504237 ~1979
1041919437605998 ~1981
104198320839677 ~1978
1041991187558398 ~1980
1042099500207538 ~1981
104210983368737 ~1979
104214162528477 ~1979
Exp. Prime Factor Digits Year
1042141312642318
104221183376897 ~1979
1042333166773298 ~1980
104245120849037 ~1978
104257120851437 ~1978
1042571271068478
1042607500451378 ~1981
104279920855997 ~1978
1042829312848718 ~1981
1042861917717698 ~1982
1042897166863538 ~1980
1042997396338878 ~1981
1043011187741998 ~1980
1043047104304718 ~1980
1043089229479598 ~1981
1043167166906738 ~1980
104317362590397 ~1979
1043213146049838 ~1980
1043323166931698 ~1980
1043369313010718 ~1981
1043479417391618 ~1981
1043513333924178 ~1981
1043587354819598 ~1981
1043617166978738 ~1980
1043767250504098 ~1981
Exp. Prime Factor Digits Year
1043839354905278 ~1981
104389783511777 ~1979
1043921396689998 ~1981
1043923438447678 ~1981
104395120879037 ~1978
104396983517537 ~1979
1044023584652898 ~1982
1044139417655618 ~1981
1044149313244718 ~1981
104429920885997 ~1978
1044353146209438 ~1980
1044391104439118 ~1980
1044391689298078
104462983570337 ~1979
1044737250736898 ~1981
104477920895597 ~1978
104478162686877 ~1979
1044859188074638 ~1980
1045027606115678 ~1982
1045063167210098 ~1980
1045063355321438
10451172236550399 ~1983
1045129418051618 ~1981
10451833867177119 ~1984
1045193313557918 ~1981
250
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25-04-13