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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
101885920377197 ~1978
101888981511137 ~1979
1018889142644478
1018903101890318 ~1980
101895761137437 ~1979
101917761150637 ~1979
1019177550355598
101919761151837 ~1979
1019209652293778 ~1982
10192672955874319 ~1983
1019273570792898 ~1981
10192818052319919 ~1984
101935120387037 ~1978
1019413407765218 ~1981
1019423244661538 ~1981
1019443163110898 ~1980
101947120389437 ~1978
1019479101947918 ~1980
1019503734042178 ~1982
1019549142736878 ~1980
1019617143562073710 ~1985
1019731591443998 ~1981
1019771183558798 ~1980
101978320395677 ~1978
1019827163172338 ~1980
Exp. Prime Factor Digits Year
101985761191437 ~1979
102000161200077 ~1979
1020013163202098 ~1980
102002320400477 ~1978
102007781606177 ~1979
1020109958902478 ~1982
102014320402877 ~1978
1020233632544478 ~1982
10202331040637679
1020259652965778 ~1982
1020269795809838 ~1982
1020329306098718 ~1981
10203293999689699
102036161221677 ~1979
1020401734688738 ~1982
10204072387752399 ~1983
1020457306137118 ~1981
102049181639297 ~1979
1020517306155118 ~1981
1020589489882738 ~1981
102059920411997 ~1978
1020839183751038 ~1980
1020853245004738 ~1981
1020931183767598 ~1980
1020961898445698 ~1982
Exp. Prime Factor Digits Year
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
102224320444877 ~1978
1022629245430978 ~1981
102265361359197 ~1979
1022653224983678
102284981827937 ~1979
1022899102289918 ~1980
1022977306893118 ~1981
10229771779979999
1023047920742318 ~1982
102327761396637 ~1979
102330161398077 ~1979
1023367184206078 ~1980
Exp. Prime Factor Digits Year
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
102469781975777 ~1979
102470320494077 ~1978
102482320496477 ~1978
102493120498637 ~1978
1024939102493918 ~1980
102502161501277 ~1979
102503920500797 ~1978
10251471476211699 ~1982
1025161307548318 ~1981
1025209492100338 ~1981
102525761515437 ~1979
1025443410177218 ~1981
250
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25-09-07