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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
779764943155952988710 ~2000
779765099155953019910 ~2000
779808791155961758310 ~2000
779825161467895096710 ~2002
779852291155970458310 ~2000
7798625531247780084911 ~2003
779891639155978327910 ~2000
779896631623917304910 ~2002
779897819155979563910 ~2000
779900711155980142310 ~2000
779935619155987123910 ~2000
779952623155990524710 ~2000
779967323155993464710 ~2000
779968979155993795910 ~2000
779970553467982331910 ~2002
779993051623994440910 ~2002
780059407780059407110 ~2002
780086291156017258310 ~2000
7801054371092147611911 ~2003
780127619156025523910 ~2000
780141359156028271910 ~2000
780144191156028838310 ~2000
780224789624179831310 ~2002
780230663156046132710 ~2000
780231383156046276710 ~2000
Exponent Prime Factor Digits Year
780233711156046742310 ~2000
780327491156065498310 ~2000
780336311156067262310 ~2000
780367631156073526310 ~2000
780374351156074870310 ~2000
780377891156075578310 ~2000
780382139156076427910 ~2000
7803935773121574308111 ~2004
780411323156082264710 ~2000
780436451156087290310 ~2000
7804530311248724849711 ~2003
780507719624406175310 ~2002
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
Exponent Prime Factor Digits Year
780714839156142967910 ~2000
780721691156144338310 ~2000
780723913468434347910 ~2002
780739721468443832710 ~2002
7807467731249194836911 ~2003
780779003156155800710 ~2000
780807143156161428710 ~2000
780811861468487116710 ~2002
7808231171873975480911 ~2003
780823331624658664910 ~2002
780874439156174887910 ~2000
780875003156175000710 ~2000
7808792471249406795311 ~2003
7809029111249444657711 ~2003
780905819156181163910 ~2000
780907859156181571910 ~2000
780922451156184490310 ~2000
780936179624748943310 ~2002
780942509624754007310 ~2002
780942971156188594310 ~2000
780984443156196888710 ~2000
780996431156199286310 ~2000
7809990591405798306311 ~2003
781033763156206752710 ~2000
781061783156212356710 ~2000
Exponent Prime Factor Digits Year
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
781268363156253672710 ~2000
781269613468761767910 ~2002
781279403156255880710 ~2000
781284913468770947910 ~2002
781293761468776256710 ~2002
781324619156264923910 ~2000
781373443781373443110 ~2002
781377119156275423910 ~2000
781437869625150295310 ~2002
781459463156291892710 ~2000
781491839156298367910 ~2000
781497659156299531910 ~2000
3382
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25-05-04