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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
8967611179352238 ~1985
8967659179353198 ~1985
8967719179354398 ~1985
89679112331656879 ~1988
8968153538089198 ~1986
8968241538094478 ~1986
8968301538098078 ~1986
8968957538137438 ~1986
8969293538157598 ~1986
89694171255718399 ~1987
89694193049602479 ~1988
8969777717582178 ~1987
8969777120195011910
8969783179395678 ~1985
8969813538188798 ~1986
8969993538199598 ~1986
8970119179402398 ~1985
8970133538207998 ~1986
8970497538229838 ~1986
89704971255869599
89705032332330799 ~1988
8970757538245438 ~1986
89707917176632819 ~1989
8970959717676738 ~1987
89709791614776239 ~1988
Exp. Prime Factor Digits Year
8971037717682978 ~1987
8971139179422798 ~1985
89711771435388339 ~1988
8971181538270878 ~1986
8971241538274478 ~1986
8971499179429998 ~1985
8971559179431198 ~1985
8971663897166318 ~1987
8971757717740578 ~1987
89718111614925999 ~1988
8972101538326078 ~1986
8972291179445838 ~1985
8972963179459278 ~1985
8973131179462638 ~1985
8973311179466238 ~1985
89733431435734899 ~1988
8973401538404078 ~1986
8973521538411278 ~1986
8973533538411998 ~1986
8973551179471038 ~1985
8973581717886498 ~1987
8973737538424238 ~1986
8973901538434078 ~1986
8974037538442238 ~1986
8974139179482798 ~1985
Exp. Prime Factor Digits Year
8974271179485438 ~1985
8974529717962338 ~1987
8974681538480878 ~1986
8975159179503198 ~1985
8975171179503438 ~1985
8975333538519998 ~1986
8975363179507278 ~1985
8975381538522878 ~1986
89754592872146899 ~1988
8975579179511598 ~1985
8975639179512798 ~1985
89757531256605439 ~1987
8975903179518078 ~1985
8976127897612718 ~1987
8976659179533198 ~1985
8976839179536798 ~1985
8977013538620798 ~1986
8977039897703918 ~1987
8977201538632078 ~1986
8977271179545438 ~1985
8977379179547598 ~1985
8977571179551438 ~1985
8977571718205698
8977679179553598 ~1985
8977721538663278 ~1986
Exp. Prime Factor Digits Year
8977763179555278 ~1985
8978171179563438 ~1985
8978323897832318 ~1987
8978381538702878 ~1986
8978663179573278 ~1985
8978759179575198 ~1985
8978831179576638 ~1985
8978891179577838 ~1985
8979359179587198 ~1985
8979371718349698 ~1987
8979611179592238 ~1985
8979857538791438 ~1986
8979923179598478 ~1985
89801091257215279 ~1987
8980319179606398 ~1985
89804291975694399 ~1988
89804411436870579 ~1988
8980501538830078 ~1986
8980667718453378 ~1987
8980943179618878 ~1985
8981279179625598 ~1985
8981783179635678 ~1985
8981939179638798 ~1985
8982241538934478 ~1986
8982317718585378 ~1987
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