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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
50650331114307279 ~1986
5065103101302078 ~1983
5065139101302798 ~1983
5065259405220738 ~1985
5065373303922398 ~1985
50655371215728899 ~1986
5065751405260098 ~1985
5065889709224478 ~1985
5065897810543538 ~1986
5066143506614318 ~1985
5066161303969678 ~1985
5066219101324398 ~1983
5066309709283278 ~1985
50663632127872479 ~1987
5066471101329438 ~1983
5066563506656318 ~1985
5066717304003038 ~1985
5067329405386338 ~1985
5067527405402178 ~1985
5067599101351998 ~1983
5067607506760718 ~1985
50676071722986399
5067817304069038 ~1985
5067899101357998 ~1983
5068103101362078 ~1983
Exp. Prime Factor Digits Year
5068157405452578 ~1985
5068213304092798 ~1985
5068319101366398 ~1983
5068523101370478 ~1983
5068559101371198 ~1983
50687813649522339 ~1987
5068859101377198 ~1983
50689571520687119 ~1986
5069063101381278 ~1983
5069231101384638 ~1983
5069633709748638 ~1985
5069639101392798 ~1983
5069681405574498 ~1985
5070007507000718 ~1985
50704333650711779 ~1987
5070497405639778 ~1985
5070497709869598
5070521405641698 ~1985
5070599101411998 ~1983
5070599405647938
5070643507064318 ~1985
5070671101413438 ~1983
5070959405676738 ~1985
5071103101422078 ~1983
5071177811388338 ~1986
Exp. Prime Factor Digits Year
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
5073371101467438 ~1983
5073457304407438 ~1985
5073493304409598 ~1985
50735592029423619 ~1987
5073689710316478 ~1985
5073821304429278 ~1985
5073851101477038 ~1983
5073923101478478 ~1983
5074081304444878 ~1985
5074103101482078 ~1983
Exp. Prime Factor Digits Year
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
5075237304514238 ~1985
5075519101510398 ~1983
5075579406046338 ~1985
5075879101517598 ~1983
5075951101519038 ~1983
5076053304563198 ~1985
5076161304569678 ~1985
5076179406094338 ~1985
5076221406097698 ~1985
5076473304588398 ~1985
705
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25-12-14