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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
17475731258252579 ~1984
1747591314566398 ~1982
1747643454387198 ~1982
17476997550059699 ~1985
17479511433319839 ~1984
174797934959597 ~1980
174800334960077 ~1980
1748027874013518 ~1983
1748177244744798 ~1982
1748489524546718 ~1983
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
1749263874631518 ~1983
174938334987677 ~1980
Exp. Prime Factor Digits Year
174943134988637 ~1980
1749673384928078 ~1982
1749697104981838 ~1981
1749701104982078 ~1981
1749731139978498 ~1981
1749749139979938 ~1981
1749859734940798 ~1983
174989934997997 ~1980
174991134998237 ~1980
1749911139992898
1749961384991438 ~1982
175010335002077 ~1980
1750159175015918 ~1981
1750459420110178 ~1982
175049935009997 ~1980
1750501105030078 ~1981
1750513525153918 ~1983
1750687420164898 ~1982
175075135015037 ~1980
175081135016237 ~1980
1750913245127838 ~1982
1750927700370818 ~1983
1750937420224898 ~1982
1751041105062478 ~1981
1751273525381918 ~1983
Exp. Prime Factor Digits Year
1751311700524418 ~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
175256335051277 ~1980
175265935053197 ~1980
1752679175267918 ~1981
1752851315513198 ~1982
175292335058477 ~1980
1752943701177218 ~1983
1752977105178638 ~1981
1752979175297918 ~1981
1753007140240578 ~1981
1753039175303918 ~1981
1753109560994898 ~1983
175334335066877 ~1980
Exp. Prime Factor Digits Year
1753441105206478 ~1981
1753777280604338 ~1982
1753777420906498
1753777404070220910
1753789385833598 ~1982
1753867175386718 ~1981
175394335078877 ~1980
1753979140318338 ~1981
1753979876989518
1754143175414318 ~1981
17541431999723039
1754171456084478 ~1982
175441135088237 ~1980
175453135090637 ~1980
1754531140362498
1754561105273678 ~1981
1754591982570978 ~1983
1754699140375938 ~1981
175484335096877 ~1980
1755059140404738 ~1981
175517935103597 ~1980
17551811790284639 ~1984
1755319702127618 ~1983
1755487702194818 ~1983
175550335110077 ~1980
359
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25-12-14