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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
5070497405639778 ~1985
5070497709869598
5070521405641698 ~1985
5070599101411998 ~1983
5070599405647938
5070643507064318 ~1985
5070671101413438 ~1983
5070959405676738 ~1985
5071103101422078 ~1983
5071177811388338 ~1986
5071343101426878 ~1983
5071351507135118 ~1985
5071361405708898 ~1985
5071471507147118 ~1985
5071511912871998 ~1986
5071751101435038 ~1983
5071883101437678 ~1983
5071919101438398 ~1983
5071931101438638 ~1983
5072531101450638 ~1983
5072707913087278 ~1986
5072863507286318 ~1985
5072993304379598 ~1985
5073017304381038 ~1985
5073241304394478 ~1985
Exp. Prime Factor Digits Year
5073371101467438 ~1983
5073457304407438 ~1985
5073493304409598 ~1985
50735592029423619 ~1987
5073689710316478 ~1985
5073821304429278 ~1985
5073851101477038 ~1983
5073923101478478 ~1983
5074081304444878 ~1985
5074103101482078 ~1983
5074151405932098 ~1985
5074337710407198 ~1985
5074373304462398 ~1985
50744512537225519 ~1987
5074571101491438 ~1983
5074633811941298 ~1986
5074709405976738 ~1985
5074747507474718 ~1985
5074801304488078 ~1985
5074841405987298 ~1985
5074847913472478 ~1986
5074859101497198 ~1983
5074967913494078 ~1986
5075143507514318 ~1985
5075207125865133710 ~1988
Exp. Prime Factor Digits Year
5075237304514238 ~1985
5075519101510398 ~1983
5075579406046338 ~1985
5075879101517598 ~1983
5075951101519038 ~1983
5076053304563198 ~1985
5076161304569678 ~1985
5076179406094338 ~1985
5076221406097698 ~1985
5076473304588398 ~1985
5076503101530078 ~1983
5076551406124098 ~1985
5076569710719678 ~1985
50765691522970719
5076671101533438 ~1983
5076719101534398 ~1983
50768531116907679 ~1986
5076913304614798 ~1985
5076983101539678 ~1983
5077283101545678 ~1983
5077759507775918 ~1985
5077931101558638 ~1983
5078123101562478 ~1983
5078167507816718 ~1985
5078243333132740910 ~1990
Exp. Prime Factor Digits Year
5078663101573278 ~1983
5078743507874318 ~1985
5078851812616178 ~1986
5078939101578798 ~1983
5079059914230638 ~1986
50790591218974179
5079079507907918 ~1985
5079083101581678 ~1983
5079097304745838 ~1985
5079233711092638 ~1985
5079359101587198 ~1983
5079419101588398 ~1983
5079731101594638 ~1983
5079869711181678 ~1985
5079911406392898 ~1985
5079961304797678 ~1985
5079961812793778
50800912133638239 ~1987
5080139207269671310 ~1989
5080169406413538 ~1985
5080177304810638 ~1985
50802671727290799 ~1986
5080403101608078 ~1983
5080661406452898 ~1985
5080703101614078 ~1983
710
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26-02-08