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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
2041297122477838 ~1981
20412971796341379
20415613878965919 ~1985
204161940832397 ~1980
2041639204163918 ~1982
20418491102598479 ~1984
2041859367534638 ~1983
2041961163356898 ~1982
2042017122521038 ~1981
204203940840797 ~1980
2042059204205918 ~1982
2042111857686638 ~1983
204212340842477 ~1980
2042171163373698 ~1982
2042171530964478
2042213612663918 ~1983
2042297122537838 ~1981
2042323204232318 ~1982
20423231307086739
2042357163388578 ~1982
204239940847997 ~1980
204259140851837 ~1980
2042681122560878 ~1981
204278340855677 ~1980
204281940856397 ~1980
Exp. Prime Factor Digits Year
2043001122580078 ~1981
204301140860237 ~1980
2043053490332738 ~1983
2043091326894578 ~1982
2043101776378398 ~1983
2043313122598798 ~1981
2043329286066078 ~1982
2043449163475938 ~1982
204359940871997 ~1980
204371940874397 ~1980
2043997940238638 ~1984
204404340880877 ~1980
2044099490583778 ~1983
2044127367942878 ~1983
20441271349123839
2044169163533538 ~1982
204427140885437 ~1980
2044661122679678 ~1981
2044681327148978 ~1982
2044697122681838 ~1981
2044919163593538 ~1982
2044919368085438
204494340898877 ~1980
2044979490794978 ~1983
2045053122703198 ~1981
Exp. Prime Factor Digits Year
2045053490812738
2045191204519118 ~1982
2045213286329838 ~1982
204533940906797 ~1980
2045359204535918 ~1982
2045569818227618 ~1983
20457132291198579 ~1985
2045759368236638 ~1983
2045833490999938 ~1983
2045839204583918 ~1982
20459091268463599 ~1984
2046101163688098 ~1982
2046119163689538 ~1982
2046193122771598 ~1981
204641940928397 ~1980
2046641982387698 ~1984
204668340933677 ~1980
204674340934877 ~1980
20467434953118079
2046773286548238 ~1982
204695940939197 ~1980
204709140941837 ~1980
2047141122828478 ~1981
2047393818957218 ~1983
204743940948797 ~1980
Exp. Prime Factor Digits Year
2047559163804738 ~1982
2048117163849378 ~1982
2048131327700978 ~1982
2048153122889198 ~1981
204815940963197 ~1980
2048231163858498 ~1982
2048273122896398 ~1981
2048413122904798 ~1981
2048429491622978 ~1983
20484671802650979 ~1984
2048569491656578 ~1983
204863940972797 ~1980
2048699368765838 ~1983
204872340974477 ~1980
2048797942446638 ~1984
2048833122929998 ~1981
2048867163909378 ~1982
2048933122935998 ~1981
204893940978797 ~1980
2048957163916578 ~1982
2049149645891764910 ~1988
204941940988397 ~1980
204943140988637 ~1980
2049613122976798 ~1981
2049629163970338 ~1982
388
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25-04-13