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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
2086361125181678 ~1982
2086433125185998 ~1982
2086589625976718 ~1983
208673941734797 ~1980
208705141741037 ~1980
2087081667865938 ~1983
20872331961999039 ~1984
208730341746077 ~1980
20873035051273279
208748341749677 ~1980
20874893172983299 ~1985
208753141750637 ~1980
208775941755197 ~1980
208783141756637 ~1980
2087983709914238 ~1983
2087983835193218
2088077125284638 ~1982
2088077626423118
20881393382785199 ~1985
2088227501174498 ~1983
2088241626472318 ~1983
2088301626490318 ~1983
2088367208836718 ~1982
20884212464336799 ~1985
208843141768637 ~1980
Exp. Prime Factor Digits Year
2088497125309838 ~1982
2088577334172338 ~1983
2088631375953598 ~1983
2088679208867918 ~1982
2088787501308898 ~1983
2088829835531618 ~1984
2088971167117698 ~1982
2089117125347038 ~1982
2089177501402498 ~1983
208927141785437 ~1980
2089391167151298 ~1982
2089397292515598 ~1982
2089441125366478 ~1982
208951141790237 ~1980
2089831877729038 ~1984
20898731337518739 ~1984
2090069167205538 ~1982
20900695684987699
2090071334411378 ~1983
2090119209011918 ~1982
2090203209020318 ~1982
2090353961562398 ~1984
2090477125428638 ~1982
2090489167239138 ~1982
20906891128972079 ~1984
Exp. Prime Factor Digits Year
2090821125449278 ~1982
2090873501809538 ~1983
2091149669167698 ~1983
2091283209128318 ~1982
209143141828637 ~1980
2091497292809598 ~1982
209150341830077 ~1980
2091581125494878 ~1982
2091587167326978 ~1982
209159941831997 ~1980
2091703334672498 ~1983
2091773125506398 ~1982
2091839167347138 ~1982
209186341837277 ~1980
20918631506141379
209198341839677 ~1980
209204341840877 ~1980
2092073125524398 ~1982
2092073292890238
2092229502134978 ~1983
2092273334763698 ~1983
2092351376623198 ~1983
2092427167394178 ~1982
2092481125548878 ~1982
2092543878868078 ~1984
Exp. Prime Factor Digits Year
2092693627807918 ~1983
2092759711538078 ~1983
2092823502277538 ~1983
2092919502300578 ~1983
2092997293019598 ~1982
209324341864877 ~1980
2093297125597838 ~1982
2093359837343618 ~1984
209341141868237 ~1980
2093417167473378 ~1982
2093537167482978 ~1982
209369941873997 ~1980
20937831797722083911 ~1989
2093827376888878 ~1983
2093837167506978 ~1982
2094011544442878 ~1983
2094073125644398 ~1982
20940911501044428911 ~1989
2094187209418718 ~1982
209420341884077 ~1980
2094221167537698 ~1982
209435941887197 ~1980
2094361125661678 ~1982
2094473125668398 ~1982
2094481335116978 ~1983
404
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26-01-11