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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
233711946742397 ~1981
2337119747878098
2337163233716318 ~1982
2337233560935938 ~1983
2337367420726078 ~1983
233747946749597 ~1981
2337541140252478 ~1982
2337677140260638 ~1982
2337691233769118 ~1982
2337761140265678 ~1982
233785146757037 ~1981
2337983561115938 ~1983
233807946761597 ~1981
2338079187046338
23380931262570239 ~1984
2338207561169698 ~1983
2338247187059778 ~1982
2338283607953598 ~1983
2338351420903198 ~1983
233840346768077 ~1981
233863146772637 ~1981
2338667420960078 ~1983
233879946775997 ~1981
23391372245571539 ~1985
2339369187149538 ~1982
Exp. Prime Factor Digits Year
2339609748674898 ~1984
2339651421137198 ~1983
2339669327553678 ~1983
2339921187193698 ~1982
2339927187194178 ~1982
2339977140398638 ~1982
234025146805037 ~1981
2340313936125218 ~1984
23403834680766019 ~1986
2340521702156318 ~1984
2340587187246978 ~1982
2340763374522098 ~1983
23408031544929999 ~1984
2340859234085918 ~1982
2340887187270978 ~1982
2340893140453598 ~1982
2341091187287298 ~1982
234110346822077 ~1981
2341201140472078 ~1982
2341217140473038 ~1982
234134346826877 ~1981
234140346828077 ~1981
2341447234144718 ~1982
234146346829277 ~1981
2341637187330978 ~1982
Exp. Prime Factor Digits Year
2341643110993878310 ~1987
2341673562001538 ~1983
234176346835277 ~1981
2341763749364178
2341847187347778 ~1982
2341877327862798 ~1983
23419071545658639 ~1984
2341981374716978 ~1983
234199146839837 ~1981
234205146841037 ~1981
2342189187375138 ~1982
2342227234222718 ~1982
2342231421601598 ~1983
2342401140544078 ~1982
2342407374785138 ~1983
2342513327951838 ~1983
2342731374836978 ~1983
234278346855677 ~1981
2342869515431198 ~1983
2342981187438498 ~1982
2343037374885938 ~1983
2343053562332738 ~1983
2343053749776978
2343169562360578 ~1983
23432033795988879 ~1985
Exp. Prime Factor Digits Year
2343307562393698 ~1983
234331146866237 ~1981
2343449749903698 ~1984
2343533328094638 ~1983
2343857187508578 ~1982
234389946877997 ~1981
2344037140642238 ~1982
2344151123771172910 ~1987
2344241187539298 ~1982
234427146885437 ~1981
2344301187544098 ~1982
234437946887597 ~1981
2344417375106738 ~1983
2344457187556578 ~1982
2344469187557538 ~1982
2344649328250878 ~1983
2344751187580098 ~1982
2344967609691438 ~1983
2344973328296238 ~1983
2345017140701038 ~1982
2345041140702478 ~1982
2345087187606978 ~1982
2345141187611298 ~1982
2345261140715678 ~1982
2345401375264178 ~1983
435
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26-01-11