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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
3164969253197538 ~1983
316502363300477 ~1982
316505963301197 ~1982
3165079316507918 ~1983
316520363304077 ~1982
3165311253224898 ~1983
3165479253238338 ~1983
3165707569827278 ~1984
3165829949748718 ~1985
3165853696487678 ~1984
3165917189955038 ~1983
3165919759820578 ~1984
3165971253277698 ~1983
3166259253300738 ~1983
3166333506613298 ~1984
3166453189987198 ~1983
316646363329277 ~1982
316664363332877 ~1982
3166651316665118 ~1983
316667963333597 ~1982
31667692533415219 ~1986
3166781253342498 ~1983
3166949443372878 ~1984
3166973190018398 ~1983
316697963339597 ~1982
Exp. Prime Factor Digits Year
316723163344637 ~1982
3167453190047198 ~1983
3167453443443438
3167497190049838 ~1983
316751963350397 ~1982
31677411203741599 ~1985
3167837950351118 ~1985
316789163357837 ~1982
31679091013730899 ~1985
3168367316836718 ~1983
3168449253475938 ~1983
3168461190107678 ~1983
316871963374397 ~1982
316891163378237 ~1982
3168911253512898
316898363379677 ~1982
3169063507050098 ~1984
316945163389037 ~1982
3169547760691298 ~1984
316958363391677 ~1982
316964363392877 ~1982
3169697443757598 ~1984
31696972535757619
31697235134951279 ~1986
31697591838460239 ~1985
Exp. Prime Factor Digits Year
3169949443792878 ~1984
3170119570621438 ~1984
3170137760832898 ~1984
3170213443829838 ~1984
3170287317028718 ~1983
3170369377273911110 ~1989
317054363410877 ~1982
317060363412077 ~1982
31707233868282079 ~1986
317075963415197 ~1982
3170807253664578 ~1983
317087963417597 ~1982
3171059570790638 ~1984
3171313951393918 ~1985
317132363426477 ~1982
3171359570844638 ~1984
317138363427677 ~1982
3171547570878478 ~1984
3171559761174178 ~1984
31716611458964079 ~1985
317168363433677 ~1982
3171811507489778 ~1984
3171853190311198 ~1983
3171941253755298 ~1983
31719411205337599
Exp. Prime Factor Digits Year
3171989253759138 ~1983
3172207570997278 ~1984
3172289253783138 ~1983
3172313190338798 ~1983
3172327317232718 ~1983
3172327507572338
3172723761453538 ~1984
3172733190363998 ~1983
3172801190368078 ~1983
3172889444204478 ~1984
3172901253832098 ~1983
317336363467277 ~1982
3173369253869538 ~1983
3173503317350318 ~1983
3173539317353918 ~1983
3173717444320398 ~1984
3173777253902178 ~1983
317407163481437 ~1982
317419163483837 ~1982
31741911015741139
3174221253937698 ~1983
3174251253940098 ~1983
3174487317448718 ~1983
317459963491997 ~1982
3174649172700905710 ~1988
522
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25-09-07