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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
41857499837149998 ~1991
418583299208832399 ~1993
41858639837172798 ~1991
41858903837178078 ~1991
41859659837193198 ~1991
41859739200926747310 ~1994
41860319837206398 ~1991
418605732511634399 ~1992
41861003837220078 ~1991
41861159837223198 ~1991
41861243837224878 ~1991
41862371837247438 ~1991
418626413349011299 ~1992
41862791837255838 ~1991
41863271837265438 ~1991
418634332511805999 ~1992
41863463837269278 ~1991
41863883837277678 ~1991
41864171837283438 ~1991
41864891837297838 ~1991
418651073349208579 ~1992
41865443837308878 ~1991
41866271837325438 ~1991
41866619837332398 ~1991
41866703711733951110 ~1995
Exponent Prime Factor Digits Year
41867531837350638 ~1991
418676273349410179 ~1992
418684276698948339 ~1993
41868803837376078 ~1991
41868839837376798 ~1991
41869319837386398 ~1991
41869571837391438 ~1991
41870219837404398 ~1991
418708193349665539 ~1992
41870891837417838 ~1991
41871083837421678 ~1991
41871299837425998 ~1991
418715095862011279 ~1993
41872559837451198 ~1991
418727573349820579 ~1992
41872871837457438 ~1991
41873483837469678 ~1991
418736093349888739 ~1992
41874359837487198 ~1991
41874671837493438 ~1991
41875643837512878 ~1991
418756516700104179 ~1993
41875763837515278 ~1991
41876699837533998 ~1991
41876759837535198 ~1991
Exponent Prime Factor Digits Year
41877191837543838 ~1991
41877371837547438 ~1991
418781212512687279 ~1992
41878379837567598 ~1991
41878979837579598 ~1991
41879111837582238 ~1991
41879231837584638 ~1991
41879963837599278 ~1991
41880203837604078 ~1991
41881043837620878 ~1991
41881439837628798 ~1991
41881571837631438 ~1991
41881751837635038 ~1991
41881943837638878 ~1991
41881979837639598 ~1991
41882063837641278 ~1991
41882231837644638 ~1991
41882531837650638 ~1991
41882591837651838 ~1991
41883059837661198 ~1991
41884883837697678 ~1991
41885099837701998 ~1991
41885111837702238 ~1991
418851117539319999
41886671837733438 ~1991
Exponent Prime Factor Digits Year
41886899837737998 ~1991
41887823837756478 ~1991
41887871837757438 ~1991
41888351837767038 ~1991
41889059837781198 ~1991
41889251837785038 ~1991
41889839837796798 ~1991
41890631837812638 ~1991
41891831837836638 ~1991
41892143837842878 ~1991
41892239837844798 ~1991
418922813351382499 ~1992
41892503837850078 ~1991
41892803837856078 ~1991
41893259837865198 ~1991
41894003837880078 ~1991
41894123837882478 ~1991
41894939837898798 ~1991
41895263837905278 ~1991
41895611837912238 ~1991
418963576703417139 ~1993
41897393100553743310 ~1993
41899223837984478 ~1991
41899703837994078 ~1991
41900519100561245710 ~1993
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