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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
1744363174436318 ~1981
1744493244229038 ~1982
1744517302499247910 ~1987
1744621279139378 ~1982
174464334892877 ~1980
1744777104686638 ~1981
1744817139585378 ~1981
1745087139606978 ~1981
1745111558435538 ~1983
1745197104711838 ~1981
174523134904637 ~1980
1745257104715438 ~1981
174535134907037 ~1980
1745389383985598 ~1982
1745461104727678 ~1981
1745489139639138 ~1981
1745501139640098 ~1981
1745699558623698 ~1983
1745753558640978 ~1983
1745969558710098 ~1983
1746109523832718 ~1983
174620334924077 ~1980
1746209139696738 ~1981
1746209244469278
1746209419090178
Exp. Prime Factor Digits Year
1746259419102178 ~1982
1746301104778078 ~1981
1746539419169378 ~1982
1746557244517998 ~1982
17465871816450499 ~1984
174668334933677 ~1980
1746847174684718 ~1981
1746883419251938 ~1982
1746907279505138 ~1982
1746911139752898 ~1981
174707934941597 ~1980
1747153104829198 ~1981
1747301104838078 ~1981
1747331139786498 ~1981
1747519174751918 ~1981
17475731258252579 ~1984
1747591314566398 ~1982
1747643454387198 ~1982
17476997550059699 ~1985
17479511433319839 ~1984
174797934959597 ~1980
174800334960077 ~1980
1748027874013518 ~1983
1748177244744798 ~1982
1748489524546718 ~1983
Exp. Prime Factor Digits Year
174863934972797 ~1980
1748653524595918 ~1983
174872334974477 ~1980
1748849139907938 ~1981
1748891139911298 ~1981
1748911174891118 ~1981
1749031174903118 ~1981
1749089244872478 ~1982
1749107139928578 ~1981
174917934983597 ~1980
1749233104953998 ~1981
174923934984797 ~1980
1749239314863038
174938334987677 ~1980
174943134988637 ~1980
1749673384928078 ~1982
1749697104981838 ~1981
1749701104982078 ~1981
1749731139978498 ~1981
1749749139979938 ~1981
1749859734940798 ~1983
174989934997997 ~1980
174991134998237 ~1980
1749911139992898
1749961384991438 ~1982
Exp. Prime Factor Digits Year
175010335002077 ~1980
1750159175015918 ~1981
1750459420110178 ~1982
175049935009997 ~1980
1750501105030078 ~1981
1750513525153918 ~1983
1750687420164898 ~1982
175075135015037 ~1980
175081135016237 ~1980
1750913245127838 ~1982
1750937420224898 ~1982
1751041105062478 ~1981
1751273525381918 ~1983
1751327140106178 ~1981
1751567315282078 ~1982
1751623735681678 ~1983
175169935033997 ~1980
1751753945946638 ~1983
175189135037837 ~1980
17520291927231919 ~1984
175211935042397 ~1980
1752319700927618 ~1983
175232335046477 ~1980
1752341105140478 ~1981
175253935050797 ~1980
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25-04-13