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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
21596423431928478 ~1988
21596819431936398 ~1988
215973775183370499 ~1991
21597971470835767910 ~1993
21598091431961838 ~1988
21598463431969278 ~1988
21598523431970478 ~1988
215989011295934079 ~1989
21599183431983678 ~1988
21599951431999038 ~1988
216003611296021679 ~1989
21600479432009598 ~1988
216009073456145139 ~1990
216013971296083839 ~1989
21601631432032638 ~1988
21601763432035278 ~1988
216018171296109039 ~1989
216021771296130639 ~1989
21602459432049198 ~1988
21602519432050398 ~1988
216032592160325919 ~1990
216033432160334319 ~1990
21603443432068878 ~1988
21603899432077998 ~1988
21604091432081838 ~1988
Exponent Prime Factor Digits Year
21604139432082798 ~1988
21605063432101278 ~1988
21605123432102478 ~1988
21605183432103678 ~1988
21605399432107998 ~1988
21605459432109198 ~1988
21605471432109438 ~1988
216055311728442499 ~1990
21605999432119998 ~1988
21606443432128878 ~1988
216071931296431599 ~1989
216072416482172319 ~1991
216075131296450799 ~1989
21607583432151678 ~1988
21607823432156478 ~1988
21608663432173278 ~1988
21608711432174238 ~1988
21608771432175438 ~1988
21609011432180238 ~1988
216090531296543199 ~1989
216093893025314479 ~1990
216095592160955919 ~1990
21609851432197038 ~1988
216098773457580339 ~1990
21610019432200398 ~1988
Exponent Prime Factor Digits Year
21610091432201838 ~1988
21610643432212878 ~1988
21610691432213838 ~1988
216109131296654799 ~1989
21610931432218638 ~1988
216114616483438319 ~1991
21611519432230398 ~1988
21611543432230878 ~1988
216127071729016579 ~1990
21612911432258238 ~1988
21613139432262798 ~1988
216131534754893679 ~1991
21613199432263998 ~1988
216147371296884239 ~1989
21616079432321598 ~1988
21616559432331198 ~1988
21617111432342238 ~1988
216179693026515679 ~1990
21618059432361198 ~1988
21618739138359929710 ~1992
21618983432379678 ~1988
216194472161944719 ~1990
216198171297189039 ~1989
21619883432397678 ~1988
21619943432398878 ~1988
Exponent Prime Factor Digits Year
21620279432405598 ~1988
21620411432408238 ~1988
216206592162065919 ~1990
21620843432416878 ~1988
21621371432427438 ~1988
21621683432433678 ~1988
21621923432438478 ~1988
216228014757016239 ~1991
21623471432469438 ~1988
21623663432473278 ~1988
21623939432478798 ~1988
21623963432479278 ~1988
21624203432484078 ~1988
21624359432487198 ~1988
21624803432496078 ~1988
216249373459989939 ~1990
216249471729995779 ~1990
216249733459995699 ~1990
216250311730002499 ~1990
21625199432503998 ~1988
216253334757573279 ~1991
21625679432513598 ~1988
21626051432521038 ~1988
21626219432524398 ~1988
21626399432527998 ~1988
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