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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
7483733459501206310 ~1991
74838671347096079 ~1987
7483919598713538 ~1986
74843571796245699 ~1987
7484579598766338 ~1986
7484723149694478 ~1985
7485077598806178 ~1986
74853371796480899 ~1987
7485497598839778 ~1986
7485851149717038 ~1985
7486463149729278 ~1985
7486537449192238 ~1986
7486541449192478 ~1986
7486571149731438 ~1985
7486631149732638 ~1985
7486907598952578 ~1986
7487131748713118 ~1986
7487287748728718 ~1986
7487321598985698 ~1986
7487621599009698 ~1986
7487917449275038 ~1986
7488101449286078 ~1986
7488101599048098
74881371048339199 ~1987
7488227599058178 ~1986
Exp. Prime Factor Digits Year
7488311149766238 ~1985
7488419149768398 ~1985
7488499748849918 ~1986
7488671149773438 ~1985
7488683149773678 ~1985
7488779149775598 ~1985
7488863149777278 ~1985
7489051748905118 ~1986
7489067599125378 ~1986
7489241449354478 ~1986
7489253449355198 ~1986
7489523149790478 ~1985
74895291048534079 ~1987
7489561449373678 ~1986
7489787599182978 ~1986
7489957449397438 ~1986
74904115393095939 ~1988
7490737449444238 ~1986
74907671348338079 ~1987
7490771149815438 ~1985
7490783149815678 ~1985
7490831149816638 ~1985
7491221449473278 ~1986
7491641599331298 ~1986
74921031798104739 ~1987
Exp. Prime Factor Digits Year
7492861449571678 ~1986
7492921449575278 ~1986
7493099149861998 ~1985
7493399599471938 ~1986
7493471149869438 ~1985
7493777449626638 ~1986
7493879149877598 ~1985
7494119599529538 ~1986
7494719599577538 ~1986
74947431798738339 ~1987
74948712997948419 ~1988
74949171049288399 ~1987
7495247599619778 ~1986
7495511149910238 ~1985
7495703149914078 ~1985
74961432548688639 ~1988
7496189599695138 ~1986
7496519149930398 ~1985
7496537449792238 ~1986
7496579149931598 ~1985
7496651599732098 ~1986
7496843149936878 ~1985
7497023149940478 ~1985
7497107599768578 ~1986
7497439749743918 ~1986
Exp. Prime Factor Digits Year
7498019149960398 ~1985
74980313749015519 ~1988
7498033449881998 ~1986
74981114348904399 ~1988
7498301449898078 ~1986
74983131049763839 ~1987
74984291799622979 ~1987
7498583149971678 ~1985
7498643149972878 ~1985
7498703149974078 ~1985
7498871149977438 ~1985
7499161449949678 ~1986
74992071349857279 ~1987
7499231149984638 ~1985
7499257449955438 ~1986
74995371799888899 ~1987
7499543149990878 ~1985
7499651599972098 ~1986
7499741599979298 ~1986
7499819149996398 ~1985
7500203150004078 ~1985
7500797600063778 ~1986
7500803150016078 ~1985
7500881450052878 ~1986
75009171050128399 ~1987
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25-11-02