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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
4957086839914173679 ~1999
4957144319914288639 ~1999
495724793297434875910 ~2000
495746227892343208710 ~2001
4957571513271997196711 ~2003
4957633199915266399 ~1999
4957655591685602900711 ~2002
495810193297486115910 ~2000
4958181599916363199 ~1999
495854987396683989710 ~2000
4958596319917192639 ~1999
495873319495873319110 ~2001
4959254999918509999 ~1999
4959480239918960479 ~1999
495951221396760976910 ~2000
4959539639919079279 ~1999
4960262999920525999 ~1999
4960416599920833199 ~1999
4960451399920902799 ~1999
4960534799921069599 ~1999
4960609199921218399 ~1999
4960693199921386399 ~1999
4961017199922034399 ~1999
4961024999922049999 ~1999
496107737297664642310 ~2000
Exponent Prime Factor Digits Year
4961126771488338031111 ~2002
496133347893040024710 ~2001
4961702639923405279 ~1999
4961713919923427839 ~1999
4961851439923702879 ~1999
496187287496187287110 ~2001
4961941319923882639 ~1999
4961975999923951999 ~1999
4961996999923993999 ~1999
4962037091091648159911 ~2001
4962053519924107039 ~1999
496209893694693850310 ~2001
4962113999924227999 ~1999
4962298439924596879 ~1999
496239151793982641710 ~2001
4962588599925177199 ~1999
4962981719925963439 ~1999
496307971496307971110 ~2001
496311721297787032710 ~2000
4963327199926654399 ~1999
496358747397086997710 ~2000
4963816213573947671311 ~2003
496389791397111832910 ~2000
4964077276453300451111 ~2003
496429253297857551910 ~2000
Exponent Prime Factor Digits Year
4964597519929195039 ~1999
496471517297882910310 ~2000
4964813399929626799 ~1999
4964849039929698079 ~1999
4964965199929930399 ~1999
496542157297925294310 ~2000
496569713297941827910 ~2000
496602629397282103310 ~2000
496604099397283279310 ~2000
4966133999932267999 ~1999
4966288319932576639 ~1999
496631459397305167310 ~2000
496653719397322975310 ~2000
4966653119933306239 ~1999
496676161298005696710 ~2000
4966788119933576239 ~1999
4967070839934141679 ~1999
496713101298027860710 ~2000
4967262719934525439 ~1999
496726493695417090310 ~2001
496731881298039128710 ~2000
496737887397390309710 ~2000
496741873298045123910 ~2000
4967695199935390399 ~1999
4968014519936029039 ~1999
Exponent Prime Factor Digits Year
4968218771192372504911 ~2002
4968329691192399125711 ~2002
4968347039936694079 ~1999
496837709695572792710 ~2001
4968437999936875999 ~1999
4968473999936947999 ~1999
4968715199937430399 ~1999
4968733199937466399 ~1999
4968738239937476479 ~1999
496879967894383940710 ~2001
4968844319937688639 ~1999
496902881298141728710 ~2000
496902893298141735910 ~2000
4969150199938300399 ~1999
4969198319938396639 ~1999
4969202999938405999 ~1999
4969215111291995928711 ~2002
496925173298155103910 ~2000
4969301039938602079 ~1999
496932907795092651310 ~2001
4969375439938750879 ~1999
4969417439938834879 ~1999
4969426199938852399 ~1999
4969492919938985839 ~1999
4969795199939590399 ~1999
3174
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25-04-20