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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
101666320333277 ~1978
1016777244026498 ~1981
10167771057448099
1016783264363598 ~1981
101684320336877 ~1978
101689120337837 ~1978
1016947162711538 ~1980
1016971183054798 ~1980
101701120340237 ~1978
1017077142390798 ~1980
101711920342397 ~1978
101717920343597 ~1978
1017307345884398 ~1981
1017311183115998 ~1980
1017347106821435110 ~1985
101736161041677 ~1979
101737120347437 ~1978
101737781390177 ~1979
101743781394977 ~1979
1017551427371438 ~1981
1017683264597598 ~1981
1017703101770318 ~1980
101771981417537 ~1979
1017781162844978 ~1980
1017851183213198 ~1980
Exp. Prime Factor Digits Year
101788161072877 ~1979
101795920359197 ~1978
101800781440577 ~1979
101809781447777 ~1979
101821761093037 ~1979
1018217570201538
1018301325856338 ~1981
1018313142563838 ~1980
1018313549889038
10183371120170719 ~1982
1018357162937138 ~1980
101842161105277 ~1979
1018543162966898 ~1980
101862161117277 ~1979
1018651162984178 ~1980
101867361120397 ~1979
1018709325986898 ~1981
101885920377197 ~1978
101888981511137 ~1979
1018889142644478
1018903101890318 ~1980
101895761137437 ~1979
1018957713269918
101917761150637 ~1979
1019177550355598
Exp. Prime Factor Digits Year
101919761151837 ~1979
1019209652293778 ~1982
10192672955874319 ~1983
1019273570792898 ~1981
10192818052319919 ~1984
101935120387037 ~1978
10193576686981939 ~1984
1019413407765218 ~1981
1019423244661538 ~1981
1019443163110898 ~1980
101947120389437 ~1978
1019479101947918 ~1980
1019503734042178 ~1982
1019509713656318 ~1982
1019549142736878 ~1980
1019617143562073710 ~1985
1019731591443998 ~1982
1019771183558798 ~1980
101978320395677 ~1978
1019827163172338 ~1980
101985761191437 ~1979
102000161200077 ~1979
1020013163202098 ~1980
102002320400477 ~1978
102007781606177 ~1979
Exp. Prime Factor Digits Year
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
102101920420397 ~1978
102109181687297 ~1979
102112781690177 ~1979
102119920423997 ~1978
1021291102129118 ~1980
255
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26-07-05