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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
256570611539423679 ~1990
25657211513144238 ~1989
25657319513146398 ~1989
25658137348950663310 ~1993
256581531539489199 ~1990
25658183513163678 ~1989
256583272052666179 ~1990
25658459513169198 ~1989
25659083513181678 ~1989
25659251513185038 ~1989
25659503513190078 ~1989
25659839513196798 ~1989
25660091513201838 ~1989
25660319513206398 ~1989
256605412052843299 ~1990
256610992052887939 ~1990
25661243513224878 ~1989
25661651513233038 ~1989
25661771513235438 ~1989
256618491868182607311 ~1995
25662431513248638 ~1989
25664017384960255110 ~1993
25664123513282478 ~1989
25664531513290638 ~1989
256650432566504319 ~1991
Exponent Prime Factor Digits Year
25665071513301438 ~1989
25665131513302638 ~1989
256662171539973039 ~1990
25666331513326638 ~1989
25666391513327838 ~1989
25666703513334078 ~1989
25666859513337198 ~1989
25667051513341038 ~1989
25667111513342238 ~1989
256677714620198799 ~1991
25668323513366478 ~1989
25668371513367438 ~1989
25668803513376078 ~1989
25669211513384238 ~1989
25669499513389998 ~1989
25669739513394798 ~1989
25670531513410638 ~1989
25670819513416398 ~1989
25671263513425278 ~1989
25671311513426238 ~1989
25671491513429838 ~1989
256720992567209919 ~1991
25672379513447598 ~1989
256724472567244719 ~1991
25672571513451438 ~1989
Exponent Prime Factor Digits Year
25672919513458398 ~1989
25673603513472078 ~1989
256736992053895939 ~1990
256741798215737299 ~1992
25675211513504238 ~1989
25675451513509038 ~1989
25675619513512398 ~1989
25676159513523198 ~1989
25676243513524878 ~1989
25676351513527038 ~1989
25677023513540478 ~1989
25677059513541198 ~1989
25677719513554398 ~1989
25678343513566878 ~1989
256786571540719439 ~1990
25678739513574798 ~1989
25678811513576238 ~1989
25679999513599998 ~1989
256799994622399839
25680023513600478 ~1989
25681031513620638 ~1989
25681079513621598 ~1989
25681151513623038 ~1989
25681451513629038 ~1989
25681499513629998 ~1989
Exponent Prime Factor Digits Year
25682711513654238 ~1989
25682963513659278 ~1989
25682999513659998 ~1989
25683071513661438 ~1989
256835092054680739 ~1990
256836892054695139 ~1990
256837314623071599 ~1991
25683803513676078 ~1989
25684619513692398 ~1989
25684811513696238 ~1989
256849636164391139 ~1991
25685063513701278 ~1989
256851172054809379 ~1990
25685519513710398 ~1989
25685531513710638 ~1989
256858971541153839 ~1990
256859692054877539 ~1990
256861211541167279 ~1990
25686263513725278 ~1989
256864331541185999 ~1990
25687523513750478 ~1989
25687631513752638 ~1989
25687691513753838 ~1989
256880112568801119 ~1991
256886811541320879 ~1990
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25-06-08