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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
76548731224779699
7655183153103678 ~1985
7655237459314238 ~1986
7655413459324798 ~1986
7655639153112798 ~1985
7655723153114478 ~1985
7655891153117838 ~1985
76560591837454179 ~1987
76563232450023379 ~1988
7656577459394638 ~1986
7656611153132238 ~1985
7656821459409278 ~1986
7657103153142078 ~1985
7657379153147598 ~1985
76575111990952879 ~1987
76575911378366399 ~1987
7657691153153838 ~1985
7658207612656578 ~1986
7658351153167038 ~1985
7658467765846718 ~1986
7658507612680578 ~1986
7658531153170638 ~1985
7658879153177598 ~1985
7658921459535278 ~1986
7658951153179038 ~1985
Exp. Prime Factor Digits Year
7659053459543198 ~1986
7659257459555438 ~1986
7659383153187678 ~1985
76594991378709839 ~1987
7659601459576078 ~1986
7659623153192478 ~1985
7659791153195838 ~1985
7660417459625038 ~1986
7660811153216238 ~1985
7660883153217678 ~1985
7661197459671838 ~1986
7661279612902338 ~1986
7661531612922498 ~1986
7661663153233278 ~1985
7661831153236638 ~1985
7661881459712878 ~1986
7661903153238078 ~1985
7661939153238798 ~1985
7662001459720078 ~1986
7662463766246318 ~1986
76625171226002739 ~1987
7662659153253198 ~1985
76629131226066099 ~1987
76630091839122179 ~1987
76631931072847039 ~1987
Exp. Prime Factor Digits Year
7663499153269998 ~1985
7663499613079938
7663693459821598 ~1986
76636933065477219
7663823153276478 ~1985
76645492299364719 ~1988
7665023153300478 ~1985
7665127766512718 ~1986
76651491073120879 ~1987
7665743153314878 ~1985
7666013459960798 ~1986
7666037613282978 ~1986
7666039766603918 ~1986
76661033219763279 ~1988
7666163153323278 ~1985
7666381459982878 ~1986
7666559153331198 ~1985
7666573459994398 ~1986
7666619153332398 ~1985
7666717460003038 ~1986
7667111613368898 ~1986
7667113460026798 ~1986
7667237460034238 ~1986
7667519153350398 ~1985
7667531153350638 ~1985
Exp. Prime Factor Digits Year
7667641460058478 ~1986
7667651153353038 ~1985
7667771153355438 ~1985
7668029613442338 ~1986
7668161613452898 ~1986
7668203153364078 ~1985
7668257460095438 ~1986
7668337460100238 ~1986
7668757460125438 ~1986
76690032607461039 ~1988
7669171766917118 ~1986
7669213460152798 ~1986
7669451153389038 ~1985
7669517613561378 ~1986
7669751153395038 ~1985
7669979153399598 ~1985
7670171153403438 ~1985
7670363153407278 ~1985
7670401460224078 ~1986
7670501460230078 ~1986
76706391380715039 ~1987
7670833460249998 ~1986
7671143153422878 ~1985
7671263153425278 ~1985
7671493460289598 ~1986
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24-10-27