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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
7125743142514878 ~1984
7126289570103138 ~1986
7126439142528798 ~1984
7126517427591038 ~1986
7126739142534798 ~1984
7126811142536238 ~1984
71268831852989599 ~1987
7126943142538878 ~1984
7126979142539598 ~1984
7127053427623198 ~1986
71270834561333139 ~1988
7127339142546798 ~1984
7127363142547278 ~1984
7127639142552798 ~1984
7127639570211138
71283531710804739 ~1987
71287492138624719 ~1987
7128761427725678 ~1986
7129079142581598 ~1984
7129217427753038 ~1986
7129217570337378
7129229998092078 ~1987
7129439142588798 ~1984
7129601570368098 ~1986
71298191711156579 ~1987
Exp. Prime Factor Digits Year
7129861427791678 ~1986
7130009570400738 ~1986
71301471283426479 ~1987
7130411142608238 ~1984
7130797427847838 ~1986
7130891142617838 ~1984
7130941427856478 ~1986
7130993427859598 ~1986
7131017570481378 ~1986
7131281427876878 ~1986
7131301427878078 ~1986
7131379713137918 ~1986
71313791283648239
7131689998436478 ~1987
71317032852681219 ~1988
7131869570549538 ~1986
7131947570555778 ~1986
7132019142640398 ~1984
7132043142640878 ~1984
7132091142641838 ~1984
7132117427927038 ~1986
7132171713217118 ~1986
7132241570579298 ~1986
7132373427942398 ~1986
7132421427945278 ~1986
Exp. Prime Factor Digits Year
7132813427968798 ~1986
7132987713298718 ~1986
7132997570639778 ~1986
7133177427990638 ~1986
7133257427995438 ~1986
7133281135532339110 ~1989
7133459142669198 ~1984
7133771142675438 ~1984
7133879570710338 ~1986
7133957570716578 ~1986
7133963142679278 ~1984
7133969570717538 ~1986
7134107570728578 ~1986
7134119142682398 ~1984
7134131142682638 ~1984
71341812140254319 ~1987
7134251142685038 ~1984
7134341428060478 ~1986
7134601428076078 ~1986
71346611569625439 ~1987
7134767570781378 ~1986
7135061428103678 ~1986
7135199570815938 ~1986
7135217570817378 ~1986
7135379142707598 ~1984
Exp. Prime Factor Digits Year
7135391142707838 ~1984
7135559142711198 ~1984
7135643142712878 ~1984
7135813428148798 ~1986
7135853428151198 ~1986
7135901428154078 ~1986
7135949570875938 ~1986
7136021570881698 ~1986
71360275708821619 ~1988
71360812283545939 ~1987
7136099142721998 ~1984
7136401428184078 ~1986
7136483142729678 ~1984
7136497428189838 ~1986
7136663142733278 ~1984
7136771142735438 ~1984
7136917428215038 ~1986
7137853428271198 ~1986
7137913428274798 ~1986
71382173854637199 ~1988
7138409571072738 ~1986
7138619142772398 ~1984
7138643142772878 ~1984
7138919142778398 ~1984
7139123142782478 ~1984
836
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25-04-13