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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
7115051142301038 ~1985
7115057426903438 ~1986
7115117569209378 ~1986
7115153426909198 ~1986
7115219142304398 ~1985
7115347711534718 ~1986
7115351142307038 ~1985
7115357569228578 ~1986
7115477569238178 ~1986
7115539711553918 ~1986
7115593426935598 ~1986
7115819569265538 ~1986
7116023142320478 ~1985
7116299142325998 ~1985
7116311142326238 ~1985
7116899142337998 ~1985
7117501427050078 ~1986
7117637569410978 ~1986
7117717427063038 ~1986
71178232277703379 ~1987
7117871142357438 ~1985
7117927711792718 ~1986
7118099142361998 ~1985
7118099569447938
7118123142362478 ~1985
Exp. Prime Factor Digits Year
7118183142363678 ~1985
7118519142370398 ~1985
7119011142380238 ~1985
7119293427157598 ~1986
7119611142392238 ~1985
7120163142403278 ~1985
7120417427225038 ~1986
7121339108244352910 ~1989
7121591142431838 ~1985
7121819142436398 ~1985
7122179142443598 ~1985
7122209569776738 ~1986
7122331712233118 ~1986
7122491142449838 ~1985
7122551142451038 ~1985
7122961427377678 ~1986
7123057427383438 ~1986
7123063712306318 ~1986
7123177427390638 ~1986
7123379142467598 ~1985
7123619142472398 ~1985
7123691569895298 ~1986
71240411139846579 ~1987
71240411567289039
7124171142483438 ~1985
Exp. Prime Factor Digits Year
71243332137299919 ~1987
7124477427468638 ~1986
7124651142493038 ~1985
7124783142495678 ~1985
7125077570006178 ~1986
7125203142504078 ~1985
7125263142505278 ~1985
7125617997586398 ~1987
7125743142514878 ~1985
7126289570103138 ~1986
7126439142528798 ~1985
7126517427591038 ~1986
7126739142534798 ~1985
7126811142536238 ~1985
71268831852989599 ~1987
7126943142538878 ~1985
7126979142539598 ~1985
7127053427623198 ~1986
71270834561333139 ~1988
7127339142546798 ~1985
7127363142547278 ~1985
7127639142552798 ~1985
7127639570211138
71283531710804739 ~1987
7128427712842718 ~1986
Exp. Prime Factor Digits Year
71287492138624719 ~1987
7128761427725678 ~1986
7129079142581598 ~1985
7129217427753038 ~1986
7129217570337378
7129229998092078 ~1987
7129439142588798 ~1985
7129601570368098 ~1986
71298191711156579 ~1987
7129861427791678 ~1986
7130009570400738 ~1986
71301471283426479 ~1987
7130407246712082310 ~1990
7130411142608238 ~1985
7130797427847838 ~1986
7130891142617838 ~1985
7130941427856478 ~1986
7130993427859598 ~1986
7131017570481378 ~1986
7131281427876878 ~1986
7131301427878078 ~1986
7131379713137918 ~1986
71313791283648239
7131689998436478 ~1987
71317032852681219 ~1988
859
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25-11-02