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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
8193929655514338 ~1986
8193961491637678 ~1986
8194127655530178 ~1986
8194217655537378 ~1986
8194457491667438 ~1986
8194481655558498 ~1986
8194583163891678 ~1985
8194691163893838 ~1985
8195021655601698 ~1986
8195111655608898 ~1986
8195303163906078 ~1985
8195399163907998 ~1985
81956171966948099 ~1988
8195651163913038 ~1985
8195699163913998 ~1985
8195711163914238 ~1985
8196113491766798 ~1986
81964693278587619 ~1988
8196491163929838 ~1985
8196523819652318 ~1987
8196563163931278 ~1985
8196577491794638 ~1986
8196599163931998 ~1985
8196827655746178 ~1986
8197823163956478 ~1985
Exp. Prime Factor Digits Year
8197921491875278 ~1986
81980091147721279 ~1987
81984591475722639 ~1987
8198639163972798 ~1985
8198717491923038 ~1986
8198759163975198 ~1985
8198759655900738
8198783163975678 ~1985
8198789655903138 ~1986
8198843163976878 ~1985
8198951163979038 ~1985
8199371163987438 ~1985
8199553491973198 ~1986
8199623163992478 ~1985
8199791163995838 ~1985
8199791655983298
8200013492000798 ~1986
8200061656004898 ~1986
8200091164001838 ~1985
8200217492013038 ~1986
8200433492025998 ~1986
8200463164009278 ~1985
8200741492044478 ~1986
8201111164022238 ~1985
8201339164026798 ~1985
Exp. Prime Factor Digits Year
8201807656144578 ~1986
8201813492108798 ~1986
8201971820197118 ~1987
8202263164045278 ~1985
8202431164048638 ~1985
8202479164049598 ~1985
8202613492156798 ~1986
8202989656239138 ~1986
8203147820314718 ~1987
8203297492197838 ~1986
8203319164066398 ~1985
8203511139459687110 ~1990
8203691164073838 ~1985
8203883164077678 ~1985
8203901492234078 ~1986
8204017492241038 ~1986
8204033492241998 ~1986
8204101492246078 ~1986
82041131312658099 ~1987
8204177492250638 ~1986
82041911312670579 ~1987
82042811312684979 ~1987
8204737492284238 ~1986
8204783164095678 ~1985
8205011656400898 ~1986
Exp. Prime Factor Digits Year
82052215087237039 ~1989
8205251164105038 ~1985
8205437656434978 ~1986
8205529945276940910 ~1992
8205623164112478 ~1985
8206619164132398 ~1985
8206799164135998 ~1985
82070274595935139 ~1989
8207051164141038 ~1985
8207471164149438 ~1985
8207483164149678 ~1985
82076271477372879 ~1987
8208037492482238 ~1986
8208143164162878 ~1985
8208311164166238 ~1985
8208439820843918 ~1987
8208757492525438 ~1986
8208797656703778 ~1986
8208911164178238 ~1985
8209031164180638 ~1985
82092771970226499 ~1988
8209703164194078 ~1985
82098371970360899 ~1988
8210063164201278 ~1985
8210141656811298 ~1986
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25-07-08