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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
1036291165806578 ~1980
1036327497436978 ~1981
103633120726637 ~1978
1036351103635118 ~1980
10366131078077539 ~1982
103663120732637 ~1978
10366811161082739 ~1982
1036747995277138 ~1982
103687762212637 ~1979
1036951497736498 ~1981
1037087269642638 ~1981
1037087933378318
1037233165957298 ~1980
103741120748237 ~1978
10374471742910979 ~1983
103747182997697 ~1979
1037537498017778 ~1981
1037557560280798 ~1981
103762783010177 ~1979
1037759332082898 ~1981
103780162268077 ~1979
1037963269870398 ~1981
103800162280077 ~1979
1038029249126978 ~1981
103820320764077 ~1978
Exp. Prime Factor Digits Year
1038269145357678 ~1980
103842162305277 ~1979
103849783079777 ~1979
103850320770077 ~1978
103861762317037 ~1979
1038619103861918 ~1980
103867120773437 ~1978
103875762325437 ~1979
103879783103777 ~1979
1038803249312738 ~1981
10388114591544639 ~1984
10388231350469919 ~1982
1038913415565218 ~1981
1038937166229938 ~1980
10389371309060639
103903362341997 ~1979
1039033166245298
1039037498737778 ~1981
103906783125377 ~1979
1039067187032078
1039109332514898 ~1981
1039111415644418 ~1981
1039387187089678 ~1980
1039427249462498 ~1981
103946320789277 ~1978
Exp. Prime Factor Digits Year
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
1040747249779298 ~1981
Exp. Prime Factor Digits Year
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
1042141312642318
250
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25-05-04