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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
102036161221677 ~1979
1020401734688738 ~1982
10204072387752399 ~1983
1020457306137118 ~1981
102049181639297 ~1979
1020517306155118 ~1981
1020589489882738 ~1981
102059920411997 ~1978
1020839183751038 ~1980
1020853245004738 ~1981
1020931183767598 ~1980
1020961898445698 ~1982
102101920420397 ~1978
102109181687297 ~1979
102112781690177 ~1979
102119920423997 ~1978
1021291102129118 ~1980
1021301571928578 ~1981
1021303408521218 ~1981
102133181706497 ~1979
102141761285037 ~1979
102179920435997 ~1978
1022129633719998 ~1982
1022167102216718 ~1980
1022179183992238 ~1980
Exp. Prime Factor Digits Year
102224320444877 ~1978
1022629245430978 ~1981
102265361359197 ~1979
1022653224983678
102284981827937 ~1979
1022899102289918 ~1980
1022977306893118 ~1981
10229771779979999
1023047920742318 ~1982
102327761396637 ~1979
102330161398077 ~1979
1023367184206078 ~1980
102346161407677 ~1979
102355181884097 ~1979
102357761414637 ~1979
1023653143311438 ~1980
102371920474397 ~1978
1023821327622738 ~1981
102403120480637 ~1978
1024087102408718 ~1980
1024171163867378 ~1980
102431920486397 ~1978
102432161459277 ~1979
1024399245855778 ~1981
102455920491197 ~1978
Exp. Prime Factor Digits Year
102469781975777 ~1979
102470320494077 ~1978
102482320496477 ~1978
102493120498637 ~1978
1024939102493918 ~1980
102502161501277 ~1979
102503920500797 ~1978
10251471476211699 ~1982
1025161307548318 ~1981
1025209492100338 ~1981
102525761515437 ~1979
1025443410177218 ~1981
102547761528637 ~1979
1025513143571838 ~1980
102554320510877 ~1978
102565361539197 ~1979
10257072954036179 ~1983
1025897246215298 ~1981
1026043246250338 ~1981
1026119246268578 ~1981
1026143677254398 ~1982
1026217718351918 ~1982
102625120525037 ~1978
102640161584077 ~1979
1026427102642718 ~1980
Exp. Prime Factor Digits Year
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
1027471431537838 ~1981
1027547575426338 ~1981
1027591493243698 ~1981
102769361661597 ~1979
102773920554797 ~1978
1027739246657378
102775120555037 ~1978
1027777554999598 ~1981
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