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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
20028363774806807304911 ~2006
2002922783400584556710 ~2004
20029939131201796347911 ~2005
2003048471400609694310 ~2004
20031034371201862062311 ~2005
2003124803400624960710 ~2004
2003176919400635383910 ~2004
2003194283400638856710 ~2004
2003209259400641851910 ~2004
2003217803400643560710 ~2004
2003246699400649339910 ~2004
20032751511602620120911 ~2005
2003327159400665431910 ~2004
2003384231400676846310 ~2004
20033903275208814850311 ~2006
2003430839400686167910 ~2004
2003446619400689323910 ~2004
2003464163400692832710 ~2004
2003468891400693778310 ~2004
20035151171202109070311 ~2005
2003532119400706423910 ~2004
2003595371400719074310 ~2004
2003646779400729355910 ~2004
2003695223400739044710 ~2004
20037140571202228434311 ~2005
Exponent Prime Factor Digits Year
20038268931202296135911 ~2005
2003942159400788431910 ~2004
2004004199400800839910 ~2004
2004018323400803664710 ~2004
20040317811202419068711 ~2005
2004048419400809683910 ~2004
2004077051400815410310 ~2004
2004102599400820519910 ~2004
2004111731400822346310 ~2004
2004119471400823894310 ~2004
20041294371202477662311 ~2005
2004242819400848563910 ~2004
200425373312426373144712 ~2007
2004301223400860244710 ~2004
2004304859400860971910 ~2004
20043049571202582974311 ~2005
2004388811400877762310 ~2004
20044037331202642239911 ~2005
2004442883400888576710 ~2004
2004499643400899928710 ~2004
2004544991400908998310 ~2004
2004556583400911316710 ~2004
20045764011202745840711 ~2005
2004607463400921492710 ~2004
2004609851400921970310 ~2004
Exponent Prime Factor Digits Year
2004629303400925860710 ~2004
2004648311400929662310 ~2004
2004677351400935470310 ~2004
2004705071400941014310 ~2004
2004765083400953016710 ~2004
2004819683400963936710 ~2004
2004886571400977314310 ~2004
2004912131400982426310 ~2004
2004914039400982807910 ~2004
2004934271400986854310 ~2004
2004972551400994510310 ~2004
2005067411401013482310 ~2004
20050888011203053280711 ~2005
2005137371401027474310 ~2004
2005165163401033032710 ~2004
2005177151401035430310 ~2004
2005274651401054930310 ~2004
200528065911630627822312 ~2007
2005301411401060282310 ~2004
20055141531203308491911 ~2005
20055281571203316894311 ~2005
2005539983401107996710 ~2004
2005561319401112263910 ~2004
20056702571203402154311 ~2005
2005715339401143067910 ~2004
Exponent Prime Factor Digits Year
2005751399401150279910 ~2004
20057576171203454570311 ~2005
20058413536017524059111 ~2007
2005845071401169014310 ~2004
20059344672005934467111 ~2005
2005976519401195303910 ~2004
20060259971203615598311 ~2005
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
20069680794816723389711 ~2006
2006997299401399459910 ~2004
3726
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25-04-13