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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
3687287663711678 ~1985
3687301221238078 ~1983
3687319368731918 ~1984
3687391165932595110 ~1988
3687757221265438 ~1983
3688081221284878 ~1983
3688199885167778 ~1985
3688219342266723310 ~1989
3688369885208578 ~1985
368857173771437 ~1982
3688571295085698
3688709295096738 ~1984
3688787295102978 ~1984
3688877516442798 ~1984
3689237221354238 ~1983
36892812582496719 ~1986
3689417221365038 ~1983
3689573221374398 ~1983
3689711295176898 ~1984
36897975018123939 ~1987
3689927295194178 ~1984
3690101295208098 ~1984
3690341221420478 ~1983
369037173807437 ~1982
3690499664289838 ~1985
Exp. Prime Factor Digits Year
36905232435745199 ~1986
369067173813437 ~1982
3690737295258978 ~1984
369080373816077 ~1982
3690839295267138 ~1984
369098373819677 ~1982
369104373820877 ~1982
3691151295292098 ~1984
3691153812053678 ~1985
369119973823997 ~1982
3691199295295938
3691273221476398 ~1983
369128373825677 ~1982
3691327369132718 ~1984
3691469295317538 ~1984
3691847295347778 ~1984
369223173844637 ~1982
3692329886158978 ~1985
3692357516929998 ~1984
369247173849437 ~1982
3692477295398178 ~1984
3692873517002238 ~1984
3692951295436098 ~1984
369335973867197 ~1982
3693463369346318 ~1984
Exp. Prime Factor Digits Year
3693479664826238 ~1985
3693617221617038 ~1983
3693661221619678 ~1983
3693761295500898 ~1984
369377973875597 ~1982
3693839295507138 ~1984
3693973221638398 ~1983
369398373879677 ~1982
3693997591039538 ~1984
36940912068690979 ~1986
3694133221647998 ~1983
3694267369426718 ~1984
3694279664970238 ~1985
369431973886397 ~1982
369451173890237 ~1982
3694631295570498 ~1984
3694667295573378 ~1984
3695011591201778 ~1984
369503973900797 ~1982
3695071591211378 ~1984
3695113591218098 ~1984
36952971108589119 ~1985
3695353221721198 ~1983
3695381295630498 ~1984
3695501221730078 ~1983
Exp. Prime Factor Digits Year
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
3697289295783138 ~1984
369751173950237 ~1982
369806373961277 ~1982
3698087665655678 ~1985
369811173962237 ~1982
3698363887607138 ~1985
3698417221905038 ~1983
574
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25-09-07