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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
3162749253019938 ~1983
3162811506049778 ~1984
3162857442799998 ~1984
3162893189773598 ~1983
3162977189778638 ~1983
3163157253052578 ~1983
3163159316315918 ~1983
31632011455072479 ~1985
3163231506116978 ~1984
3163243506118898 ~1984
3163297189797838 ~1983
3163483506157298 ~1984
3163561695983438 ~1984
316357163271437 ~1982
3163591316359118 ~1983
3163597189815838 ~1983
31635972467605679
316361963272397 ~1982
3163681189820878 ~1983
316373963274797 ~1982
316376363275277 ~1982
3163793189827598 ~1983
316399163279837 ~1982
3164167316416718 ~1983
3164221506275378 ~1984
Exp. Prime Factor Digits Year
3164519253161538 ~1983
3164543759490338 ~1984
316466363293277 ~1982
3164663759519138
316472363294477 ~1982
316478363295677 ~1982
3164911569683998 ~1984
3164927759582498 ~1984
316493963298797 ~1982
3164939569689038
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
Exp. Prime Factor Digits Year
3166453189987198 ~1983
316646363329277 ~1982
316664363332877 ~1982
3166651316665118 ~1983
316667963333597 ~1982
31667692533415219 ~1986
3166781253342498 ~1983
3166949443372878 ~1984
3166973190018398 ~1983
316697963339597 ~1982
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
Exp. Prime Factor Digits Year
316898363379677 ~1982
3169063507050098 ~1984
316945163389037 ~1982
3169547760691298 ~1984
316958363391677 ~1982
316964363392877 ~1982
3169697443757598 ~1984
31696972535757619
31697235134951279 ~1986
31697591838460239 ~1985
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
526
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25-11-17