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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
2004311634008623279 ~1996
2004349914008699839 ~1996
2004418314008836639 ~1996
200442377120265426310 ~1997
2004451914008903839 ~1996
200445571320712913710 ~1998
2004470034008940079 ~1996
200452237120271342310 ~1997
200459179360826522310 ~1998
2004638394009276799 ~1996
2004793794009587599 ~1996
2005004634010009279 ~1996
2005124394010248799 ~1996
2005124634010249279 ~1996
2005146594010293199 ~1996
200515517120309310310 ~1997
200518979160415183310 ~1997
2005340394010680799 ~1996
2005346994010693999 ~1996
200535073120321043910 ~1997
2005377834010755679 ~1996
2005444794010889599 ~1996
2005462434010924879 ~1996
2005465194010930399 ~1996
2005469394010938799 ~1996
Exponent Prime Factor Digits Year
2005482234010964479 ~1996
200549101601647303110 ~1999
2005517514011035039 ~1996
2005546314011092639 ~1996
2005621434011242879 ~1996
200587421120352452710 ~1997
2005912434011824879 ~1996
2006040114012080239 ~1996
200604821120362892710 ~1997
2006083794012167599 ~1996
200611787160489429710 ~1997
200612179200612179110 ~1998
2006123394012246799 ~1996
200612813120367687910 ~1997
2006231514012463039 ~1996
200625473120375283910 ~1997
2006275434012550879 ~1996
2006319234012638479 ~1996
2006330034012660079 ~1996
2006376234012752479 ~1996
200641097120384658310 ~1997
2006434194012868399 ~1996
2006463114012926239 ~1996
200649013120389407910 ~1997
2006572794013145599 ~1996
Exponent Prime Factor Digits Year
2006612394013224799 ~1996
2006682714013365439 ~1996
200671423200671423110 ~1998
2006770194013540399 ~1996
2006772834013545679 ~1996
200679077120407446310 ~1997
200686639200686639110 ~1998
200690543842900280710 ~1999
2006984994013969999 ~1996
2007006114014012239 ~1996
2007069594014139199 ~1996
200708021120424812710 ~1997
2007116634014233279 ~1996
200724647160579717710 ~1997
2007291594014583199 ~1996
200733557120440134310 ~1997
2007348834014697679 ~1996
200736511361325719910 ~1998
200740669441629471910 ~1998
2007647034015294079 ~1996
2007654234015308479 ~1996
2007679914015359839 ~1996
200779421120467652710 ~1997
200784293281098010310 ~1998
2007857514015715039 ~1996
Exponent Prime Factor Digits Year
2007862314015724639 ~1996
2007872394015744799 ~1996
2007914994015829999 ~1996
2007915834015831679 ~1996
2007940314015880639 ~1996
200798737321277979310 ~1998
200798839361437910310 ~1998
2008011714016023439 ~1996
2008094394016188799 ~1996
2008112034016224079 ~1996
2008134234016268479 ~1996
200814071160651256910 ~1997
200816191361469143910 ~1998
2008214514016429039 ~1996
2008232634016465279 ~1996
200829641120497784710 ~1997
2008298034016596079 ~1996
2008304394016608799 ~1996
2008324314016648639 ~1996
2008328514016657039 ~1996
200842261120505356710 ~1997
2008445034016890079 ~1996
2008516914017033839 ~1996
2008565034017130079 ~1996
2008763394017526799 ~1996
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25-05-04