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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 Dig. Year
76300010031526000200711 ~2008
76305732414578343944711 ~2009
76308588711526171774311 ~2008
76309359534578561571911 ~2009
76309999191526199983911 ~2008
76312740111526254802311 ~2008
76316427831526328556711 ~2008
76317322911526346458311 ~2008
76320941334579256479911 ~2009
763212951712211407227312 ~2010
76322977791526459555911 ~2008
76336529511526730590311 ~2008
76336803111526736062311 ~2008
76341967214580518032711 ~2009
76342366911526847338311 ~2008
76345039311526900786311 ~2008
76346043111526920862311 ~2008
763462562910688475880712 ~2010
76349488791526989775911 ~2008
76351273214581076392711 ~2009
76352242311527044846311 ~2008
76354914776108393181711 ~2010
76370288511527405770311 ~2008
76370362374582221742311 ~2009
76371012111527420242311 ~2008
Exponent Prime Factor Dig. Year
76374338031527486760711 ~2008
76376704311527534086311 ~2008
76378961511527579230311 ~2008
76381409631527628192711 ~2008
76382011614582920696711 ~2009
76382199776110575981711 ~2010
76387554374583253262311 ~2009
76390586414583435184711 ~2009
76391120814583467248711 ~2009
76393373511527867470311 ~2008
76394723696111577895311 ~2010
76396557111527931142311 ~2008
76398153111527963062311 ~2008
76401507231528030144711 ~2008
76403854911528077098311 ~2008
76405778276112462261711 ~2010
764122595918338942301712 ~2011
76416558231528331164711 ~2008
76418271591528365431911 ~2008
76419046911528380938311 ~2008
76420918191528418363911 ~2008
76422691431528453828711 ~2008
76423250631528465012711 ~2008
76434724911528694498311 ~2008
76438114911528762298311 ~2008
Exponent Prime Factor Dig. Year
76441356831528827136711 ~2008
76443928517644392851111 ~2010
76444061511528881230311 ~2008
76444923711528898474311 ~2008
76448862831528977256711 ~2008
76450057791529001155911 ~2008
76462302711529246054311 ~2008
76462554111529251082311 ~2008
76463571711529271434311 ~2008
76468969791529379395911 ~2008
76469373591529387471911 ~2008
76472585511529451710311 ~2008
76477788711529555774311 ~2008
76483358991529667179911 ~2008
76483661511529673230311 ~2008
76485216591529704331911 ~2008
76486770831529735416711 ~2008
76489841031529796820711 ~2008
76490062791529801255911 ~2008
76490147717649014771111 ~2010
76495140831529902816711 ~2008
76497200511529944010311 ~2008
76498135431529962708711 ~2008
76499060631529981212711 ~2008
76501082991530021659911 ~2008
Exponent Prime Factor Dig. Year
76502038431530040768711 ~2008
76503806511530076130311 ~2008
76505032076120402565711 ~2010
76510522374590631342311 ~2009
76512046676120963733711 ~2010
76515886431530317728711 ~2008
76517017191530340343911 ~2008
76518348716121467896911 ~2010
76519425476121554037711 ~2010
76520967231530419344711 ~2008
76524325311530486506311 ~2008
76524962534591497751911 ~2009
76527400311530548006311 ~2008
765286156967345181807312 ~2012
765304857722959145731112 ~2011
76537088934592225335911 ~2009
76538359791530767195911 ~2008
76539707991530794159911 ~2008
76540599711530811994311 ~2008
765417590910715846272712 ~2010
76542761391530855227911 ~2008
76545822231530916444711 ~2008
76546750791530935015911 ~2008
76548845631530976912711 ~2008
76549281591530985631911 ~2008
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25-09-07