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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
20050888011203053280711 ~2005
2005137371401027474310 ~2004
2005165163401033032710 ~2004
2005177151401035430310 ~2004
2005274651401054930310 ~2004
200528065911630627822312 ~2007
2005291583401058316710 ~2004
2005301411401060282310 ~2004
2005363439401072687910 ~2004
20054971131203298267911 ~2005
20055141531203308491911 ~2005
20055281571203316894311 ~2005
2005539983401107996710 ~2004
2005561319401112263910 ~2004
20056702571203402154311 ~2005
2005715339401143067910 ~2004
2005751399401150279910 ~2004
20057576171203454570311 ~2005
20058413536017524059111 ~2007
2005845071401169014310 ~2004
2005865783401173156710 ~2004
2005908083401181616710 ~2004
20059344672005934467111 ~2005
2005976519401195303910 ~2004
20060259971203615598311 ~2005
Exponent Prime Factor Digits Year
2006072699401214539910 ~2004
20061215832006121583111 ~2005
2006239199401247839910 ~2004
2006260631401252126310 ~2004
20065081371605206509711 ~2005
20065183371203911002311 ~2005
20065597273611807508711 ~2006
2006678363401335672710 ~2004
2006699603401339920710 ~2004
2006730851401346170310 ~2004
2006738291401347658310 ~2004
20067434936020230479111 ~2007
2006756159401351231910 ~2004
2006778479401355695910 ~2004
20068143673210902987311 ~2006
20068842792006884279111 ~2005
2006890079401378015910 ~2004
20069680794816723389711 ~2006
2006997299401399459910 ~2004
20070148331204208899911 ~2005
2007045191401409038310 ~2004
20070852111605668168911 ~2005
20071285513612831391911 ~2006
2007255119401451023910 ~2004
2007476963401495392710 ~2004
Exponent Prime Factor Digits Year
2007498683401499736710 ~2004
2007508271401501654310 ~2004
2007565559401513111910 ~2004
20075662696022698807111 ~2007
2007650591401530118310 ~2004
20077363333212378132911 ~2006
2007807419401561483910 ~2004
2007819311401563862310 ~2004
20078856411204731384711 ~2005
20078886011204733160711 ~2005
20081438811204886328711 ~2005
20081481611204888896711 ~2005
20081487131204889227911 ~2005
2008182131401636426310 ~2004
2008211951401642390310 ~2004
2008460171401692034310 ~2004
20085071871606805749711 ~2005
20085236394820456733711 ~2006
2008590959401718191910 ~2004
20086372911606909832911 ~2005
2008655843401731168710 ~2004
2008708511401741702310 ~2004
2008726691401745338310 ~2004
20087422131205245327911 ~2005
2008835963401767192710 ~2004
Exponent Prime Factor Digits Year
2008870631401774126310 ~2004
2008958543401791708710 ~2004
2008968371401793674310 ~2004
2008994951401798990310 ~2004
2009024183401804836710 ~2004
20090278371205416702311 ~2005
2009028071401805614310 ~2004
20090468811607237504911 ~2005
2009148203401829640710 ~2004
20092201791607376143311 ~2005
2009229899401845979910 ~2004
2009258651401851730310 ~2004
2009400251401880050310 ~2004
20094209294822610229711 ~2006
2009429771401885954310 ~2004
2009462639401892527910 ~2004
20095387016430523843311 ~2007
20095407591607632607311 ~2005
2009612771401922554310 ~2004
2009635583401927116710 ~2004
2009647751401929550310 ~2004
20096849691607747975311 ~2005
20097150134421373028711 ~2006
2009738411401947682310 ~2004
2009753423401950684710 ~2004
4004
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25-11-02