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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
10334123206682478 ~1986
103345033513731039 ~1989
10334677155020155110 ~1990
10335359206707198 ~1986
10335551206711038 ~1986
103358831033588319 ~1987
10335959206719198 ~1986
103363511653816179 ~1988
10336811826944898 ~1987
10336967826957378 ~1987
10336979206739598 ~1986
10337219206744398 ~1986
10337423206748478 ~1986
10337531206750638 ~1986
10337711206754238 ~1986
10337933620275998 ~1987
103382693101480719 ~1989
103383431033834319 ~1987
10338623206772478 ~1986
10338673620320398 ~1987
10338721130267884710 ~1990
103387331654197299 ~1988
10338773620326398 ~1987
10339033620341998 ~1987
10339079206781598 ~1986
Exponent Prime Factor Digits Year
10339139206782798 ~1986
10339529827162338 ~1987
10339739206794798 ~1986
10339883206797678 ~1986
10340243206804878 ~1986
10340483206809678 ~1986
10340663206813278 ~1986
10340783206815678 ~1986
10340831206816638 ~1986
10340881620452878 ~1987
10341059206821198 ~1986
103411271034112719 ~1987
10341203206824078 ~1986
10341503206830078 ~1986
10341563206831278 ~1986
10342259206845198 ~1986
10342439206848798 ~1986
103426033516485039 ~1989
10342691206853838 ~1986
10343519206870398 ~1986
10343561620613678 ~1987
10343653620619198 ~1987
103441994344563599 ~1989
103443071861975279 ~1988
10344311206886238 ~1986
Exponent Prime Factor Digits Year
10344479206889598 ~1986
10344671206893438 ~1986
10344791206895838 ~1986
10344877620692638 ~1987
10345151206903038 ~1986
103452974758836639 ~1989
10345319827625538 ~1987
10345343206906878 ~1986
10345457827636578 ~1987
10345501620730078 ~1987
103455011655280179
103458911034589119 ~1987
10345943206918878 ~1986
10346519206930398 ~1986
10346657620799438 ~1987
10347119206942398 ~1986
10347131206942638 ~1986
103475172483404099 ~1988
10347553620853198 ~1987
10347671206953438 ~1986
10347839206956798 ~1986
10347899206957998 ~1986
10348153620889198 ~1987
10348397620903838 ~1987
103485771448800799 ~1988
Exponent Prime Factor Digits Year
103485791034857919 ~1987
10348649827891938 ~1987
10349051206981038 ~1986
10349063206981278 ~1986
103491232690771999 ~1989
10349291206985838 ~1986
10349489163521926310 ~1990
103497071862947279 ~1988
10349819206996398 ~1986
10350181621010878 ~1987
10350251207005038 ~1986
10350443207008878 ~1986
103509974140398819 ~1989
10351199207023998 ~1986
10351259207025198 ~1986
10351337621080238 ~1987
10351457621087438 ~1987
10352033621121998 ~1987
10352141621128478 ~1987
10352141828171298
10352351207047038 ~1986
10352401621144078 ~1987
10352477621148638 ~1987
10352501621150078 ~1987
10352819207056398 ~1986
1054
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25-09-07