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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
7805149971092720995911 ~2003
780519787780519787110 ~2002
780543443156108688710 ~2000
780578003156115600710 ~2000
780584351156116870310 ~2000
780603539156120707910 ~2000
780635951156127190310 ~2000
780651023156130204710 ~2000
780652091156130418310 ~2000
780660143156132028710 ~2000
780661201468396720710 ~2002
780667571156133514310 ~2000
780702523780702523110 ~2002
780721691156144338310 ~2000
780723913468434347910 ~2002
780739721468443832710 ~2002
7807467731249194836911 ~2003
780779003156155800710 ~2000
780807143156161428710 ~2000
780811861468487116710 ~2002
7808231171873975480911 ~2003
780823331624658664910 ~2002
780874439156174887910 ~2000
780875003156175000710 ~2000
7808792471249406795311 ~2003
Exponent Prime Factor Digits Year
7809029111249444657711 ~2003
780905819156181163910 ~2000
780907859156181571910 ~2000
780922451156184490310 ~2000
780936179624748943310 ~2002
780942509624754007310 ~2002
780942971156188594310 ~2000
780984443156196888710 ~2000
780996431156199286310 ~2000
7809990591405798306311 ~2003
781033763156206752710 ~2000
781061783156212356710 ~2000
781063331156212666310 ~2000
7811008331718421832711 ~2003
781129259156225851910 ~2000
781129313468677587910 ~2002
781144439156228887910 ~2000
781163723156232744710 ~2000
781169891156233978310 ~2000
7811706292499746012911 ~2003
781197071156239414310 ~2000
78119909911874226304912 ~2005
781240079156248015910 ~2000
781257731156251546310 ~2000
781259639156251927910 ~2000
Exponent Prime Factor Digits Year
781268363156253672710 ~2000
781269613468761767910 ~2002
781279403156255880710 ~2000
781284913468770947910 ~2002
781293761468776256710 ~2002
781324619156264923910 ~2000
781373443781373443110 ~2002
781377119156275423910 ~2000
781437869625150295310 ~2002
781459463156291892710 ~2000
781491839156298367910 ~2000
781497659156299531910 ~2000
781527443156305488710 ~2000
781548851156309770310 ~2000
781565891156313178310 ~2000
781578311625262648910 ~2002
7815918231875820375311 ~2003
781657931156331586310 ~2000
7816768511407018331911 ~2003
781704971156340994310 ~2000
781748399156349679910 ~2000
781755083156351016710 ~2000
7817577311407163915911 ~2003
781773521469064112710 ~2002
7817855831250856932911 ~2003
Exponent Prime Factor Digits Year
7818058391407250510311 ~2003
781818031781818031110 ~2002
781855439156371087910 ~2000
781856533469113919910 ~2002
781863839156372767910 ~2000
7819062771876575064911 ~2003
781910483156382096710 ~2000
781914851156382970310 ~2000
7819587471876700992911 ~2003
781961021469176612710 ~2002
781961581469176948710 ~2002
781995433469197259910 ~2002
782029931156405986310 ~2000
782073923156414784710 ~2000
782122499156424499910 ~2000
78212713911262630801712 ~2005
782131331156426266310 ~2000
7821356471251417035311 ~2003
782150651156430130310 ~2000
7821800391877232093711 ~2003
782202023156440404710 ~2000
782211791156442358310 ~2000
782215957469329574310 ~2002
7822216072033776178311 ~2003
782228663156445732710 ~2000
3357
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25-04-13