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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
369503973900797 ~1982
3695071591211378 ~1984
3695113591218098 ~1984
36952971108589119 ~1985
3695353221721198 ~1983
3695381295630498 ~1984
3695501221730078 ~1983
3695669295653538 ~1984
3696113517455838 ~1984
36961131182756179
3696227665320878 ~1985
369635973927197 ~1982
369641973928397 ~1982
36964793326831119 ~1986
3696487369648718 ~1984
369655173931037 ~1982
3696733221803998 ~1983
36967871256907599 ~1985
3696853887244738 ~1985
36969191256952479 ~1985
3696943591510898 ~1984
36969431478777219
3697019295761538 ~1984
3697051103517428110 ~1988
369713973942797 ~1982
Exp. Prime Factor Digits Year
3697289295783138 ~1984
369751173950237 ~1982
369806373961277 ~1982
3698087665655678 ~1985
369811173962237 ~1982
3698363887607138 ~1985
3698417221905038 ~1983
3698417517778398
3698441221906478 ~1983
369853173970637 ~1982
3698657517811998 ~1984
3698953591832498 ~1984
369901173980237 ~1982
369902373980477 ~1982
3699121221947278 ~1983
3699299295943938 ~1984
36993734661209999 ~1987
3699671295973698 ~1984
36996918361301679 ~1987
369971973994397 ~1982
36997811701899279 ~1986
3699853221991198 ~1983
3699901221994078 ~1983
3699961221997678 ~1983
3700133888031938 ~1985
Exp. Prime Factor Digits Year
370028374005677 ~1982
3700289888069378 ~1985
370052374010477 ~1982
3700993222059598 ~1983
3701069888256578 ~1985
3701213222072798 ~1983
3701267666228078 ~1985
3701701222102078 ~1983
370196374039277 ~1982
3702197518307598 ~1984
37023011110690319 ~1985
370232374046477 ~1982
370237174047437 ~1982
370262374052477 ~1982
37029138590758179 ~1987
3702947296235778 ~1984
370297174059437 ~1982
370298374059677 ~1982
3703277296262178 ~1984
370331974066397 ~1982
370364374072877 ~1982
3703853222231198 ~1983
370400374080077 ~1982
3704009888962178 ~1985
3704017592642738 ~1984
Exp. Prime Factor Digits Year
3704137222248238 ~1983
370417174083437 ~1982
37042371778033779 ~1986
370424374084877 ~1982
370427974085597 ~1982
37043691111310719 ~1985
3704737592757938 ~1985
3704741222284478 ~1983
3704761222285678 ~1983
3704819666867438 ~1985
370495174099037 ~1982
3705161296412898 ~1984
3705227296418178 ~1984
3705329518746078 ~1984
3705347296427778 ~1984
3705367889288098 ~1985
3705469815203198 ~1985
370549174109837 ~1982
3705509518771278 ~1984
3705593889342338 ~1985
370562374112477 ~1982
3705719296457538 ~1984
37057395113919839 ~1987
3705841222350478 ~1983
3705851296468098 ~1984
578
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25-10-26