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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
34802843696056878 ~1990
34803599696071998 ~1990
34803971696079438 ~1990
34804391696087838 ~1990
34804571696091438 ~1990
348047996264863839 ~1992
34804883696097678 ~1990
34805411696108238 ~1990
34805531696110638 ~1990
348056712234524078311 ~1996
34805999696119998 ~1990
34806143696122878 ~1990
34806263696125278 ~1990
348063412784507299 ~1991
34806839696136798 ~1990
348070335569125299 ~1992
34807523696150478 ~1990
34808723696174478 ~1990
34808831696176638 ~1990
348090796265634239 ~1992
34809431696188638 ~1990
34809899696197998 ~1990
34810031696200638 ~1990
34811039696220798 ~1990
34811099696221998 ~1990
Exponent Prime Factor Digits Year
348112672784901379 ~1991
34811459696229198 ~1990
34811879696237598 ~1990
348119212088715279 ~1991
34812119696242398 ~1990
34812191696243838 ~1990
34812539696250798 ~1990
34812779696255598 ~1990
34813211696264238 ~1990
34813319696266398 ~1990
34813931696278638 ~1990
348142332088853999 ~1991
34814399696287998 ~1990
34814579696291598 ~1990
34815383696307678 ~1990
34815503696310078 ~1990
34816403696328078 ~1990
34816577132302992710 ~1993
34816703696334078 ~1990
348168838356051939 ~1993
34817039696340798 ~1990
348172612089035679 ~1991
348172612785380899
34817879696357598 ~1990
348180193481801919 ~1992
Exponent Prime Factor Digits Year
34818071696361438 ~1990
34818263696365278 ~1990
348182692785461539 ~1991
34818743696374878 ~1990
34818911696378238 ~1990
34819283696385678 ~1990
34819511696390238 ~1990
34820339696406798 ~1990
34820783696415678 ~1990
348209172089255039 ~1991
34821131696422638 ~1990
34821263696425278 ~1990
34821359696427198 ~1990
34822583696451678 ~1990
34822751696455038 ~1990
34823003696460078 ~1990
34823111696462238 ~1990
348231612089389679 ~1991
34823423696468478 ~1990
348243116268375999 ~1992
34824371696487438 ~1990
348249412089496479 ~1991
348259078358217699 ~1993
34825943696518878 ~1990
34826279696525598 ~1990
Exponent Prime Factor Digits Year
348270972089625839 ~1991
348284473482844719 ~1992
34829219696584398 ~1990
34829449250772032910 ~1994
34829519696590398 ~1990
34831031696620638 ~1990
34831103696622078 ~1990
348312435572998899 ~1992
34831463696629278 ~1990
34831799696635998 ~1990
34831991696639838 ~1990
348320116269761999 ~1992
348327678359864099 ~1993
34832783696655678 ~1990
34832939696658798 ~1990
348333534876669439 ~1992
34833503696670078 ~1990
34834043696680878 ~1990
348341473483414719 ~1992
34834451696689038 ~1990
34834823696696478 ~1990
34835039696700798 ~1990
348352492786819939 ~1991
34835291696705838 ~1990
34835519696710398 ~1990
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