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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.
Exponent Prime Factor Digits Year
17820839356416798 ~1988
178208391425667139
17821103356422078 ~1988
17821691356433838 ~1988
178219631782196319 ~1989
17822243356444878 ~1988
17822459356449198 ~1988
17822663356453278 ~1988
17822879356457598 ~1988
178235571069413439 ~1989
17823983356479678 ~1988
17824571356491438 ~1988
178246371425970979 ~1989
17824883356497678 ~1988
17825711356514238 ~1988
17825891356517838 ~1988
17825903356518078 ~1988
17826071356521438 ~1988
17826239356524798 ~1988
178269731069618399 ~1989
17827079356541598 ~1988
178270791426166339
17827091356541838 ~1988
17827151356543038 ~1988
17828003356560078 ~1988
Exponent Prime Factor Digits Year
178280334278727939 ~1990
17828351356567038 ~1988
178284011069704079 ~1989
17828711356574238 ~1988
178290591426324739 ~1989
17829131356582638 ~1988
17829299356585998 ~1988
17829323356586478 ~1988
178298811069792879 ~1989
178300271783002719 ~1989
178300511783005119 ~1989
17830199356603998 ~1988
17830583356611678 ~1988
17830619356612398 ~1988
17830811356616238 ~1988
17830919356618398 ~1988
178309198915459519
17831483356629678 ~1988
17831591356631838 ~1988
178319531069917199 ~1989
178321194279708579 ~1990
17832263356645278 ~1988
17832323356646478 ~1988
178327071426616579 ~1989
17832791356655838 ~1988
Exponent Prime Factor Digits Year
17832851356657038 ~1988
17832911356658238 ~1988
178329531069977199 ~1989
17833043356660878 ~1988
178333271783332719 ~1989
17833379356667598 ~1988
178335071783350719 ~1989
17833559356671198 ~1988
178340991426727939 ~1989
17834123356682478 ~1988
178342331070053999 ~1989
17834279356685598 ~1988
178344291426754339 ~1989
178344371070066239 ~1989
17834639356692798 ~1988
17834699356693998 ~1988
17835283114145811310 ~1991
17835599356711998 ~1988
17835659356713198 ~1988
17835731356714638 ~1988
17836139356722798 ~1988
178362111426896899 ~1989
178363371426906979 ~1989
178367711783677119 ~1989
17837051356741038 ~1988
Exponent Prime Factor Digits Year
17837159356743198 ~1988
17837279356745598 ~1988
17838143356762878 ~1988
178383671783836719 ~1989
17838371356767438 ~1988
17838959356779198 ~1988
17839091356781838 ~1988
17839163356783278 ~1988
17839583356791678 ~1988
17840723356814478 ~1988
178410794281858979 ~1990
17841359356827198 ~1988
17841427171277699310 ~1992
17841611356832238 ~1988
178417311427338499 ~1989
178423791427390339 ~1989
178434371070606239 ~1989
17843459356869198 ~1988
178435131070610799 ~1989
17843951356879038 ~1988
178439571070637439 ~1989
17844191356883838 ~1988
178445232855123699 ~1990
178447873212061679 ~1990
178452771070716639 ~1989
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