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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.
Exp. Prime Factor Digits Year
200689140137837 ~1980
2006891160551298
20069596261712099 ~1986
2007053481692738 ~1983
2007091321134578 ~1982
200725140145037 ~1980
2007307200730718 ~1982
2007307361315278
20073071324822639
20073471324849039 ~1984
200743140148637 ~1980
2007437120446238 ~1981
2007773281088238 ~1982
200789940157997 ~1980
2007961441751438 ~1983
2007979361436238 ~1983
2008049160643938 ~1982
2008079843393198 ~1983
2008121120487278 ~1981
2008151160652098 ~1982
2008213481971138 ~1983
2008327361498878 ~1983
2008327481998498
2008379160670338 ~1982
2008571843599838 ~1983
Exp. Prime Factor Digits Year
2008621120517278 ~1981
2008673120520398 ~1981
200867940173597 ~1980
2008709160696738 ~1982
200876340175277 ~1980
2008807200880718 ~1982
2008817120529038 ~1981
200882340176477 ~1980
2008871160709698 ~1982
2009039361627038 ~1983
2009083157913923910 ~1987
2009299178425751310 ~1987
2009321120559260110 ~1986
2009387160750978 ~1982
200960340192077 ~1980
2009669160773538 ~1982
2009719200971918 ~1982
200978340195677 ~1980
200983140196637 ~1980
20098571085322799 ~1984
2009881120592878 ~1981
2009923200992318 ~1982
2009923683373838
20100172211018719 ~1984
20100371768832579 ~1984
Exp. Prime Factor Digits Year
2010053120603198 ~1981
2010061442213438 ~1983
201008340201677 ~1980
2010227160818178 ~1982
201031140206237 ~1980
2010467160837378 ~1982
2010571201057118 ~1982
2010583482539938 ~1983
2010667804266818 ~1983
2010689160855138 ~1982
2011003321760498 ~1982
2011019482644578 ~1983
20111274987594979 ~1985
20111838688310579 ~1986
2011193281567038 ~1982
201139140227837 ~1980
2011441120686478 ~1981
2011517160921378 ~1982
201163140232637 ~1980
2011637120698238 ~1981
2011637160930978
20116732092139939 ~1984
2011753321880498 ~1982
2011769160941538 ~1982
2011769603530718
Exp. Prime Factor Digits Year
201179940235997 ~1980
2011939804775618 ~1983
2012147160971778 ~1982
2012237120734238 ~1981
201224340244877 ~1980
2012449603734718 ~1983
2012611362269998 ~1983
201263940252797 ~1980
201266340253277 ~1980
2012693603807918 ~1983
2012743201274318 ~1982
2012909161032738 ~1982
2013013442862878 ~1983
2013127201312718 ~1982
2013337120800238 ~1981
201335940267197 ~1980
2013439201343918 ~1982
2013553120813198 ~1981
2013653120819198 ~1981
201377940275597 ~1980
2013877322220338 ~1982
201391140278237 ~1980
2014031161122498 ~1982
2014049644495698 ~1983
20140812739150179 ~1985
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