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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
2092073292890238
2092229502134978 ~1983
2092273334763698 ~1983
2092351376623198 ~1983
2092427167394178 ~1982
2092481125548878 ~1981
2092543878868078 ~1984
2092693627807918 ~1983
2092823502277538 ~1983
2092919502300578 ~1983
2092997293019598 ~1982
209324341864877 ~1980
2093297125597838 ~1981
2093359837343618 ~1984
209341141868237 ~1980
2093417167473378 ~1982
2093537167482978 ~1982
209369941873997 ~1980
20937831797722083911 ~1989
2093827376888878 ~1983
2093837167506978 ~1982
2094011544442878 ~1983
2094073125644398 ~1981
20940911501044428911 ~1989
2094187209418718 ~1982
Exp. Prime Factor Digits Year
209420341884077 ~1980
2094221167537698 ~1982
209435941887197 ~1980
2094361125661678 ~1981
2094473125668398 ~1981
2094481335116978 ~1983
2094637125678238 ~1981
2094691335150578 ~1983
2094727209472718 ~1982
2094973125698398 ~1981
20949797751422319 ~1986
2095201838080418 ~1984
2095237335237938 ~1983
2095367167629378 ~1982
209545141909037 ~1980
2095487167638978 ~1982
2095601125736078 ~1981
2096273293478238 ~1982
2096449461218798 ~1983
209663941932797 ~1980
2096639241952140710
2096851209685118 ~1982
2096909796825438 ~1983
2097041125822478 ~1981
209708341941677 ~1980
Exp. Prime Factor Digits Year
209714341942877 ~1980
2097211335553778 ~1983
209774341954877 ~1980
209777941955597 ~1980
209791141958237 ~1980
2097917125875038 ~1982
2097983671354578 ~1983
2098051209805118 ~1982
2098279377690238 ~1983
2098289167863138 ~1982
2098471335755378 ~1983
2098511167880898 ~1982
2098519713496478 ~1983
2098673125920398 ~1982
2098699209869918 ~1982
2098741629622318 ~1983
2098757167900578 ~1982
209876341975277 ~1980
2098801125928078 ~1982
2099249293894878 ~1982
2099287209928718 ~1982
2099659377938638 ~1983
2099677125980638 ~1982
2099761125985678 ~1982
209977141995437 ~1980
Exp. Prime Factor Digits Year
209996341999277 ~1980
210001142000237 ~1980
210007142001437 ~1980
2100229504054978 ~1983
2100257126015438 ~1982
2100407504097698 ~1983
2100463210046318 ~1982
2100541126032478 ~1982
2100541630162318
210055142011037 ~1980
2100559378100638 ~1983
2100661126039678 ~1982
2100941126056478 ~1982
210109142021837 ~1980
2101093336174898 ~1983
210113942022797 ~1980
2101181168094498 ~1982
2101213171038738310 ~1987
210122342024477 ~1980
210128342025677 ~1980
2101447336231538 ~1983
2101513336242098 ~1983
21017892143824799 ~1985
2101807840722818 ~1984
2102117126127038 ~1982
394
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25-04-13