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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
208388341677677 ~1980
2083967375114078 ~1983
208411141682237 ~1980
2084111666915538
20841111042055519
2084273125056398 ~1981
2084447500267298 ~1983
2084531375215598 ~1983
2084791375262398 ~1983
208490341698077 ~1980
2084947333591538 ~1983
2084989625496718 ~1983
2084993500398338 ~1983
208505941701197 ~1980
2085089291912478 ~1982
2085233125113998 ~1981
2085247208524718 ~1982
208529941705997 ~1980
2085493125129598 ~1981
2085539166843138 ~1982
2085607375409278 ~1983
208565941713197 ~1980
2085701166856098 ~1982
2085737125144238 ~1981
2085833292016638 ~1982
Exp. Prime Factor Digits Year
2085869292021678 ~1982
208589941717997 ~1980
208597141719437 ~1980
208598341719677 ~1980
208604341720877 ~1980
208607941721597 ~1980
2086127375502878 ~1983
2086321125179278 ~1981
2086361125181678 ~1981
2086433125185998 ~1981
2086589625976718 ~1983
208673941734797 ~1980
208705141741037 ~1980
2087081667865938 ~1983
20872331961999039 ~1984
208730341746077 ~1980
20873035051273279
208748341749677 ~1980
20874893172983299 ~1985
208753141750637 ~1980
208775941755197 ~1980
208783141756637 ~1980
2087983835193218 ~1984
2088077125284638 ~1981
2088077626423118
Exp. Prime Factor Digits Year
20881393382785199 ~1985
2088227501174498 ~1983
2088241626472318 ~1983
2088301626490318 ~1983
2088367208836718 ~1982
20884212464336799 ~1985
208843141768637 ~1980
2088497125309838 ~1981
2088577334172338 ~1983
2088631375953598 ~1983
2088679208867918 ~1982
2088787501308898 ~1983
2088829835531618 ~1984
2088971167117698 ~1982
2089117125347038 ~1981
2089177501402498 ~1983
208927141785437 ~1980
2089391167151298 ~1982
2089397292515598 ~1982
2089441125366478 ~1981
208951141790237 ~1980
2089831877729038 ~1984
20898731337518739 ~1984
2090069167205538 ~1982
20900695684987699
Exp. Prime Factor Digits Year
2090071334411378 ~1983
2090119209011918 ~1982
2090203209020318 ~1982
2090353961562398 ~1984
2090477125428638 ~1981
2090489167239138 ~1982
20906891128972079 ~1984
2090821125449278 ~1981
2090873501809538 ~1983
2091149669167698 ~1983
2091283209128318 ~1982
209143141828637 ~1980
2091497292809598 ~1982
209150341830077 ~1980
2091581125494878 ~1981
2091587167326978 ~1982
209159941831997 ~1980
2091703334672498 ~1983
2091773125506398 ~1981
2091839167347138 ~1982
209186341837277 ~1980
20918631506141379
209198341839677 ~1980
209204341840877 ~1980
2092073125524398 ~1981
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25-04-13