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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
4916993295019598 ~1984
491702398340477 ~1983
4917413183911246310 ~1989
4917511491751118 ~1985
49175333934026419 ~1987
4917721786835378 ~1985
4917901295074078 ~1984
49179891475396719 ~1986
491801998360397 ~1983
491807998361597 ~1983
4918091393447298 ~1985
491827198365437 ~1983
4918273295096398 ~1984
4918541295112478 ~1984
4918631393490498 ~1985
4918633295117998 ~1984
4918717295123038 ~1984
4918769393501538 ~1985
4918841295130478 ~1984
49191791967671619 ~1986
491933998386797 ~1983
491936398387277 ~1983
491947198389437 ~1983
4919671491967118 ~1985
4919773295186398 ~1984
Exp. Prime Factor Digits Year
491989198397837 ~1983
4919891393591298
4920163492016318 ~1985
4920493295229598 ~1984
492071998414397 ~1983
492091198418237 ~1983
4920967787354738 ~1985
4921099492109918 ~1985
492113998422797 ~1983
4921493295289598 ~1984
4921613295296798 ~1984
4921841393747298 ~1985
4922053295323198 ~1984
4922179492217918 ~1985
492224398444877 ~1983
4922293295337598 ~1984
492253198450637 ~1983
492290398458077 ~1983
4923277295396638 ~1984
4923283492328318 ~1985
492341998468397 ~1983
49234611870915199 ~1986
49234631181631139 ~1986
49234812363270899 ~1987
492356398471277 ~1983
Exp. Prime Factor Digits Year
4923703492370318 ~1985
4923901295434078 ~1984
492401998480397 ~1983
4924597787935538 ~1985
49246071280397839 ~1986
49250779357646319 ~1988
4925293295517598 ~1984
492536398507277 ~1983
4925471394037698 ~1985
492566398513277 ~1983
4925797295547838 ~1984
4925797788127538
4925831394066498 ~1985
49259571477787119 ~1986
4926247492624718 ~1985
49262831182307939 ~1986
492637198527437 ~1983
4926641295598478 ~1984
492673198534637 ~1983
4926791394143298 ~1985
492685198537037 ~1983
4927007394160578 ~1985
492719998543997 ~1983
4927199394175938
492728398545677 ~1983
Exp. Prime Factor Digits Year
492731998546397 ~1983
49275671182616099 ~1986
492782398556477 ~1983
492793198558637 ~1983
492821998564397 ~1983
49283216308250899 ~1988
492847198569437 ~1983
4928491788558578 ~1985
4928549394283938 ~1985
492863998572797 ~1983
492866398573277 ~1983
4928717690020398 ~1985
49287191182892579 ~1986
49287234435850719 ~1987
4928747394299778 ~1985
49290912858872799 ~1987
4929191394335298 ~1985
492973198594637 ~1983
4929737394378978 ~1985
4929893295793598 ~1984
493015198603037 ~1983
4930231493023118 ~1985
4930279493027918 ~1985
49302971972118819 ~1986
4930339493033918 ~1985
671
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25-04-13