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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
1025897246215298 ~1981
1026043246250338 ~1981
1026119246268578 ~1981
1026143677254398 ~1982
1026217718351918 ~1982
102625120525037 ~1978
102640161584077 ~1979
1026427102642718 ~1980
1026457164233138 ~1980
102647920529597 ~1978
102656320531277 ~1978
1026581636480238 ~1982
1026593882869998 ~1982
102667782134177 ~1979
1026679102667918 ~1980
1026791184822398 ~1980
1026799102679918 ~1980
1026859246446178 ~1981
102691361614797 ~1979
1026947575090338 ~1981
1027031492974898 ~1981
102709782167777 ~1979
10272111807891379 ~1983
102731920546397 ~1978
1027417493160178 ~1981
Exp. Prime Factor Digits Year
1027471431537838 ~1981
1027547575426338 ~1981
1027591493243698 ~1981
102769361661597 ~1979
102773920554797 ~1978
1027739246657378
102775120555037 ~1978
1027777554999598 ~1981
1027969411187618 ~1981
102800320560077 ~1978
1028011164481778 ~1980
102810161686077 ~1979
1028141329005138 ~1981
102823120564637 ~1978
102823182258497
102859782287777 ~1979
1028683432046878 ~1981
1028761164601778 ~1980
102883782306977 ~1979
102889361733597 ~1979
1028893555602238
102890320578077 ~1978
1028903267514798
102898161738877 ~1979
1028981308694318
Exp. Prime Factor Digits Year
102899920579997 ~1978
1029013411605218 ~1981
1029013720309118
102902320580477 ~1978
10291133046174499 ~1983
1029157802742478 ~1982
102919120583837 ~1978
1029331494078898 ~1981
1029359185284638 ~1980
102938320587677 ~1978
10294331482383539 ~1983
102947361768397 ~1979
102952182361697 ~1979
1029533144134638 ~1980
1029547102954718 ~1980
102959361775597 ~1979
1029593144143038
1029647247115298 ~1981
1029653144151438 ~1980
1029697247127298 ~1981
1029859844484398 ~1982
102988161792877 ~1979
1029943432576078 ~1981
103002161801277 ~1979
1030027164804338 ~1980
Exp. Prime Factor Digits Year
103003120600637 ~1978
103006782405377 ~1979
103015361809197 ~1979
1030157576887938 ~1982
1030181391468798 ~1981
1030357412142818 ~1981
103036182428897 ~1979
103043920608797 ~1978
103044161826477 ~1979
1030583742019778 ~1982
103061920612397 ~1978
103064320612877 ~1978
103075120615037 ~1978
10307931236951619 ~1982
103081120616237 ~1978
10308233216167779 ~1983
1030847247403298 ~1981
103100320620077 ~1978
1031003268060798
10310533526201279 ~1983
1031081309324318 ~1981
103116161869677 ~1979
1031161989914578
103153182522497 ~1979
1031633247591938 ~1981
255
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26-04-05