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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
7056281564502498 ~1986
7056383141127678 ~1984
7056593423395598 ~1986
7056701156658762310 ~1989
7056719141134398 ~1984
70571335081135779 ~1988
7057291705729118 ~1986
7057373988032238 ~1987
7057793988091038 ~1987
7057811141156238 ~1984
7057811564624898
7057871141157438 ~1984
7057879705787918 ~1986
7057931141158638 ~1984
7058543141170878 ~1984
7058641423518478 ~1986
70586412117592319
7058659705865918 ~1986
7058879141177598 ~1984
7058939141178798 ~1984
7058951141179038 ~1984
7059593988343038 ~1987
7059623141192478 ~1984
7059719141194398 ~1984
7059863141197278 ~1984
Exp. Prime Factor Digits Year
7059911141198238 ~1984
7060037423602238 ~1986
7060139141202798 ~1984
7060373423622398 ~1986
7060463141209278 ~1984
7060709564856738 ~1986
7060853423651198 ~1986
70611011129776179 ~1987
70612811553481839 ~1987
7061591141231838 ~1984
7061969564957538 ~1986
70621991694927779 ~1987
70623712259958739 ~1987
7062383141247678 ~1984
7062479141249598 ~1984
7062527565002178 ~1986
7062551141251038 ~1984
7062557423753438 ~1986
7062779565022338 ~1986
7063169565053538 ~1986
7063321423799278 ~1986
7063919565113538 ~1986
7064303141286078 ~1984
7064459565156738 ~1986
7064881423892878 ~1986
Exp. Prime Factor Digits Year
7065143141302878 ~1984
7065221565217698 ~1986
7065433423925998 ~1986
7065449989162878 ~1987
70655593391468339 ~1988
7065601423936078 ~1986
70656733815463439 ~1988
7065791141315838 ~1984
7065797989211598 ~1987
7065911141318238 ~1984
7065953423957198 ~1986
7066117423967038 ~1986
7066259141325198 ~1984
70663994522495379 ~1988
70664831130637299 ~1987
7066571565325698 ~1986
7066799141335998 ~1984
7067077424024638 ~1986
70671492120144719 ~1987
7067471141349438 ~1984
7067537989455198 ~1987
7067939141358798 ~1984
7068179141363598 ~1984
7068203141364078 ~1984
7068533424111998 ~1986
Exp. Prime Factor Digits Year
70685331696447939
7068577424114638 ~1986
7068599141371998 ~1984
7068707565496578 ~1986
7068911565512898 ~1986
7068917565513378 ~1986
7069019141380398 ~1984
70692671272468079 ~1987
7069451141389038 ~1984
7070111141402238 ~1984
7070213424212798 ~1986
7070801424248078 ~1986
7070849565667938 ~1986
7070879141417598 ~1984
7071023141420478 ~1984
7071149565691938 ~1986
7071341424280478 ~1986
7071359141427198 ~1984
70715993394367539 ~1988
7071641424298478 ~1986
7072007565760578 ~1986
7072343141446878 ~1984
70723492687492639 ~1988
7072397565791778 ~1986
7072553424353198 ~1986
811
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24-10-27