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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
8173079163461598 ~1985
8173079653846338
81732371307717939 ~1987
81734991961639779 ~1988
8173547653883778 ~1986
8173859163477198 ~1985
8173871163477438 ~1985
8173943163478878 ~1985
8174281490456878 ~1986
8174597653967778 ~1986
8174717653977378 ~1986
8174797209274803310 ~1990
8174893490493598 ~1986
8175029654002338 ~1986
8175059163501198 ~1985
81750591471510639
8175337490520238 ~1986
8175731163514638 ~1985
8175743163514878 ~1985
8175857490551438 ~1986
8175857654068578
8175911163518238 ~1985
8175983163519678 ~1985
8176409654112738 ~1986
8176457654116578 ~1986
Exp. Prime Factor Digits Year
81769212453076319 ~1988
81769391962465379 ~1988
8176979163539598 ~1985
8176991654159298 ~1986
8177131817713118 ~1987
8177173490630398 ~1986
8177293490637598 ~1986
8177303163546078 ~1985
8177621654209698 ~1986
8177669654213538 ~1986
8177713490662798 ~1986
8177759163555198 ~1985
8177849654227938 ~1986
8178007817800718 ~1987
8178077654246178 ~1986
81782172453465119 ~1988
8178293490697598 ~1986
8178473490708398 ~1986
8178481490708878 ~1986
8178617490717038 ~1986
8178707654296578 ~1986
8178743163574878 ~1985
8178839654307138 ~1986
8178959163579198 ~1985
8178959654316738
Exp. Prime Factor Digits Year
8179019163580398 ~1985
8179103163582078 ~1985
8179201490752078 ~1986
8179343163586878 ~1985
8179403163588078 ~1985
8179511163590238 ~1985
8179631163592638 ~1985
81797513435495439 ~1988
81800411308806579 ~1987
81800411799609039
81802391472443039 ~1987
8180423163608478 ~1985
8180531163610638 ~1985
8180713490842798 ~1986
8180759163615198 ~1985
8180857490851438 ~1986
8181053490863198 ~1986
8181127818112718 ~1987
8181317654505378 ~1986
8181359163627198 ~1985
8181623163632478 ~1985
8181731163634638 ~1985
8181851163637038 ~1985
81819494418252479 ~1988
8182121490927278 ~1986
Exp. Prime Factor Digits Year
81821231309139699 ~1987
8182157490929438 ~1986
8182387818238718 ~1987
8182417490945038 ~1986
8182709654616738 ~1986
8182897490973838 ~1986
8183293490997598 ~1986
81832971963991299 ~1988
8183317490999038 ~1986
8183369654669538 ~1986
8183603163672078 ~1985
8183621654689698 ~1986
8183711163674238 ~1985
8183761491025678 ~1986
81839331145750639 ~1987
8184301491058078 ~1986
8184359163687198 ~1985
8184443163688878 ~1985
81845813110140799 ~1988
8184773491086398 ~1986
8184779163695598 ~1985
8184971163699438 ~1985
8185031163700638 ~1985
8185283163705678 ~1985
8185301654824098 ~1986
938
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26-01-11