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+Title: $abc$-triples of high quality+Definition: The list contains all known $abc$-triples quality at least $1.4$. An $abc$-triple+ is a solution of the equation $a+b=c$ with coprime integers $0 < a \leq b < c$.+ The quality of an $abc$-triple is defined as $q = \log(c)/\log\text{rad}(abc)$, where+ $\text{rad}(abc)$ is the radical of $abc$, that is, the product over all prime+ divisors of $abc$.+Parameters:+ q:+ type: R+ constraints: $q > 1.4$+ v:+ title: variable+ type: Symbolic+ show-in-parameter-list: 'no'+Comments:+ comment-abc-conjecture: The abc-conjecture CITE{WikiABC} states that $\limsup q+ = 1$, that is, for every $\varepsilon > 0$ there are only finitely many $abc$-triples+ of quality $q > 1+\varepsilon$.+Formulas: {}+Programs: {}+References: {}+Links:+ ABCatHome:+ title: 'Bart de Smit: ABC@home'+ url: https://www.math.leidenuniv.nl/~desmit/abc/+ ABCatHomeHighQ:+ title: 'Bart de Smit: ABC@home: High quality triples'+ url: https://www.math.leidenuniv.nl/~desmit/abc/index.php?set=2+ WikiABC:+ title: 'Wikipedia: abc conjecture'+ url: https://en.wikipedia.org/wiki/Abc_conjecture+Similar tables: ''+Keywords: ''+Tags:+- special values+- algebraic+Data properties:+ type: Z+ complete: unknown+ sources:+ - CITE{ABCatHomeHighQ} and the references therein+ reliability: The quality $q$ is correct up to one ulp (unit of least precision); see+ HREF{https://www.numberdb.org/help#section-number-types}.+Display properties:+ number-header: value+Numbers:+ '1.62991':+ a:+ param-latex: $a$+ number: '2'+ b:+ param-latex: $b$+ number: '6436341'+ c:+ param-latex: $c$+ number: '6436343'+ '1.62599':+ a:+ param-latex: $a$+ number: '121'+ b:+ param-latex: $b$+ number: '48234375'+ c:+ param-latex: $c$+ number: '48234496'+ '1.62349':+ a:+ param-latex: $a$+ number: '24833'+ b:+ param-latex: $b$+ number: '5020969537415167'+ c:+ param-latex: $c$+ number: '5020969537440000'+ '1.58075':+ a:+ param-latex: $a$+ number: '283'+ b:+ param-latex: $b$+ number: '8251953125'+ c:+ param-latex: $c$+ number: '8251953408'+ '1.56788':+ a:+ param-latex: $a$+ number: '1'+ b:+ param-latex: $b$+ number: '4374'+ c:+ param-latex: $c$+ number: '4375'+ '1.54707':+ a:+ param-latex: $a$+ number: '343'+ b:+ param-latex: $b$+ number: '59049'+ c:+ param-latex: $c$+ number: '59392'+ '1.54443':+ a:+ param-latex: $a$+ number: '2477678547239'+ b:+ param-latex: $b$+ number: '613474843408551921511'+ c:+ param-latex: $c$+ number: '613474845886230468750'+ '1.53671':+ a:+ param-latex: $a$+ number: '125'+ b:+ param-latex: $b$+ number: '11174240024064'+ c:+ param-latex: $c$+ number: '11174240024189'+ '1.52699':+ a:+ param-latex: $a$+ number: '611596453'+ b:+ param-latex: $b$+ number: '5368709120'+ c:+ param-latex: $c$+ number: '5980305573'+ '1.52216':+ a:+ param-latex: $a$+ number: '20218313059443'+ b:+ param-latex: $b$+ number: '121517356341481357'+ c:+ param-latex: $c$+ number: '121537574654540800'+ '1.50943':+ a:+ param-latex: $a$+ number: '188728275341281'+ b:+ param-latex: $b$+ number: '30687043271724658719'+ c:+ param-latex: $c$+ number: '30687232000000000000'+ '1.50331':+ a:+ param-latex: $a$+ number: '10023806115968'+ b:+ param-latex: $b$+ number: '236997656946088771'+ c:+ param-latex: $c$+ number: '237007680752204739'+ '1.50283':+ a:+ param-latex: $a$+ number: '239'+ b:+ param-latex: $b$+ number: '1919140625'+ c:+ param-latex: $c$+ number: '1919140864'+ '1.49762':+ a:+ param-latex: $a$+ number: '198425'+ b:+ param-latex: $b$+ number: '96889010407'+ c:+ param-latex: $c$+ number: '96889208832'+ '1.49243':+ a:+ param-latex: $a$+ number: '44'+ b:+ param-latex: $b$+ number: '14087010572580078081'+ c:+ param-latex: $c$+ number: '14087010572580078125'+ '1.49159':+ a:+ param-latex: $a$+ number: '73'+ b:+ param-latex: $b$+ number: '5973865915867136'+ c:+ param-latex: $c$+ number: '5973865915867209'+ '1.48924':+ a:+ param-latex: $a$+ number: '16777216'+ b:+ param-latex: $b$+ number: '311385505409'+ c:+ param-latex: $c$+ number: '311402282625'+ '1.48886':+ a:+ param-latex: $a$+ number: '121'+ b:+ param-latex: $b$+ number: '255879'+ c:+ param-latex: $c$+ number: '256000'+ '1.48291':+ a:+ param-latex: $a$+ number: '37'+ b:+ param-latex: $b$+ number: '32768'+ c:+ param-latex: $c$+ number: '32805'+ '1.48132':+ a:+ param-latex: $a$+ number: '115966796875'+ b:+ param-latex: $b$+ number: '9301344999072'+ c:+ param-latex: $c$+ number: '9417311795947'+ '1.48053':+ a:+ param-latex: $a$+ number: '8654525279998779296875'+ b:+ param-latex: $b$+ number: '229727166528260169448321941'+ c:+ param-latex: $c$+ number: '229735821053540168227618816'+ '1.47444':+ a:+ param-latex: $a$+ number: '1'+ b:+ param-latex: $b$+ number: '301327047'+ c:+ param-latex: $c$+ number: '301327048'+ '1.47413':+ a:+ param-latex: $a$+ number: '49'+ b:+ param-latex: $b$+ number: '31640576'+ c:+ param-latex: $c$+ number: '31640625'+ '1.47129':+ a:+ param-latex: $a$+ number: '16119'+ b:+ param-latex: $b$+ number: '214358881'+ c:+ param-latex: $c$+ number: '214375000'+ '1.46567':+ a:+ param-latex: $a$+ number: '5595907'+ b:+ param-latex: $b$+ number: '184693744467968'+ c:+ param-latex: $c$+ number: '184693750063875'+ '1.46552':+ a:+ param-latex: $a$+ number: '13841287201'+ b:+ param-latex: $b$+ number: '2271670157312'+ c:+ param-latex: $c$+ number: '2285511444513'+ '1.46527':+ a:+ param-latex: $a$+ number: '377933067'+ b:+ param-latex: $b$+ number: '3972256707877558203125'+ c:+ param-latex: $c$+ number: '3972256707877936136192'+ '1.46460':+ a:+ param-latex: $a$+ number: '110330191652531040475'+ b:+ param-latex: $b$+ number: '3651621299988620198933'+ c:+ param-latex: $c$+ number: '3761951491641151239408'+ '1.46192':+ a:+ param-latex: $a$+ number: '3200'+ b:+ param-latex: $b$+ number: '4823609'+ c:+ param-latex: $c$+ number: '4826809'+ '1.46062':+ a:+ param-latex: $a$+ number: '464743623105438551'+ b:+ param-latex: $b$+ number: '6045120559074418176746593449'+ c:+ param-latex: $c$+ number: '6045120559539161799852032000'+ '1.45942':+ a:+ param-latex: $a$+ number: '289111328125'+ b:+ param-latex: $b$+ number: '1628886484491098486528'+ c:+ param-latex: $c$+ number: '1628886484780209814653'+ '1.45779':+ a:+ param-latex: $a$+ number: '115200578857421875'+ b:+ param-latex: $b$+ number: '336192253411623744461'+ c:+ param-latex: $c$+ number: '336307453990481166336'+ '1.45778':+ a:+ param-latex: $a$+ number: '177978515625'+ b:+ param-latex: $b$+ number: '10323603816448'+ c:+ param-latex: $c$+ number: '10501582332073'+ '1.45748':+ a:+ param-latex: $a$+ number: '96301474167'+ b:+ param-latex: $b$+ number: '212192535400390625'+ c:+ param-latex: $c$+ number: '212192631701864792'+ '1.45706':+ a:+ param-latex: $a$+ number: '225'+ b:+ param-latex: $b$+ number: '72596138768'+ c:+ param-latex: $c$+ number: '72596138993'+ '1.45620':+ a:+ param-latex: $a$+ number: '637534208'+ b:+ param-latex: $b$+ number: '94573974609375'+ c:+ param-latex: $c$+ number: '94574612143583'+ '1.45567':+ a:+ param-latex: $a$+ number: '1'+ b:+ param-latex: $b$+ number: '2400'+ c:+ param-latex: $c$+ number: '2401'+ '1.45512':+ a:+ param-latex: $a$+ number: '15944049'+ b:+ param-latex: $b$+ number: '34359738368'+ c:+ param-latex: $c$+ number: '34375682417'+ '1.45502':+ a:+ param-latex: $a$+ number: '15144820879'+ b:+ param-latex: $b$+ number: '304177737629696'+ c:+ param-latex: $c$+ number: '304192882450575'+ '1.45443':+ a:+ param-latex: $a$+ number: '15605316307'+ b:+ param-latex: $b$+ number: '243890000000000'+ c:+ param-latex: $c$+ number: '243905605316307'+ '1.45334':+ a:+ param-latex: $a$+ number: '4826809'+ b:+ param-latex: $b$+ number: '21094497145095066'+ c:+ param-latex: $c$+ number: '21094497149921875'+ '1.45319':+ a:+ param-latex: $a$+ number: '925190931432103'+ b:+ param-latex: $b$+ number: '1133649264795189248'+ c:+ param-latex: $c$+ number: '1134574455726621351'+ '1.45261':+ a:+ param-latex: $a$+ number: '702021632'+ b:+ param-latex: $b$+ number: '1977326743'+ c:+ param-latex: $c$+ number: '2679348375'+ '1.45200':+ a:+ param-latex: $a$+ number: '720077960137146368'+ b:+ param-latex: $b$+ number: '121494451649631319056757'+ c:+ param-latex: $c$+ number: '121495171727591456203125'+ '1.45191':+ a:+ param-latex: $a$+ number: '25161368403091'+ b:+ param-latex: $b$+ number: '570243460709396737065659'+ c:+ param-latex: $c$+ number: '570243460734558105468750'+ '1.45134':+ a:+ param-latex: $a$+ number: '1701'+ b:+ param-latex: $b$+ number: '1046875'+ c:+ param-latex: $c$+ number: '1048576'+ '1.45085':+ a:+ param-latex: $a$+ number: '83349'+ b:+ param-latex: $b$+ number: '5880651776'+ c:+ param-latex: $c$+ number: '5880735125'+ '1.45021':+ a:+ param-latex: $a$+ number: '146767394485224241'+ b:+ param-latex: $b$+ number: '13669290314405085785446416384'+ c:+ param-latex: $c$+ number: '13669290314551853179931640625'+ '1.45009':+ a:+ param-latex: $a$+ number: '2704798098231340213727'+ b:+ param-latex: $b$+ number: '2282915619421863094395648'+ c:+ param-latex: $c$+ number: '2285620417520094434609375'+ '1.45002':+ a:+ param-latex: $a$+ number: '1'+ b:+ param-latex: $b$+ number: '63927525375'+ c:+ param-latex: $c$+ number: '63927525376'+ '1.44965':+ a:+ param-latex: $a$+ number: '1'+ b:+ param-latex: $b$+ number: '20709375'+ c:+ param-latex: $c$+ number: '20709376'+ '1.44935':+ a:+ param-latex: $a$+ number: '2707160810382798173125'+ b:+ param-latex: $b$+ number: '362056449426413786635575296'+ c:+ param-latex: $c$+ number: '362059156587224169433748421'+ '1.44797':+ a:+ param-latex: $a$+ number: '5203'+ b:+ param-latex: $b$+ number: '265137564453125'+ c:+ param-latex: $c$+ number: '265137564458328'+ '1.44774':+ a:+ param-latex: $a$+ number: '89'+ b:+ param-latex: $b$+ number: '1500512167'+ c:+ param-latex: $c$+ number: '1500512256'+ '1.44759':+ a:+ param-latex: $a$+ number: '129140163'+ b:+ param-latex: $b$+ number: '6024036352000000'+ c:+ param-latex: $c$+ number: '6024036481140163'+ '1.44742':+ a:+ param-latex: $a$+ number: '393927551841835417600000'+ b:+ param-latex: $b$+ number: '10704872737453891276395489673'+ c:+ param-latex: $c$+ number: '10705266665005733111813089673'+ '1.44687':+ a:+ param-latex: $a$+ number: '27982932961'+ b:+ param-latex: $b$+ number: '43309818510835712'+ c:+ param-latex: $c$+ number: '43309846493768673'+ '1.44624':+ a:+ param-latex: $a$+ number: '55546875'+ b:+ param-latex: $b$+ number: '6979321856'+ c:+ param-latex: $c$+ number: '7034868731'+ '1.44506':+ a:+ param-latex: $a$+ number: '338'+ b:+ param-latex: $b$+ number: '390625'+ c:+ param-latex: $c$+ number: '390963'+ '1.44459':+ a:+ param-latex: $a$+ number: '292638540234375'+ b:+ param-latex: $b$+ number: '272250614375973241'+ c:+ param-latex: $c$+ number: '272543252916207616'+ '1.44419':+ a:+ param-latex: $a$+ number: '137887744'+ b:+ param-latex: $b$+ number: '10781034805381'+ c:+ param-latex: $c$+ number: '10781172693125'+ '1.44350':+ a:+ param-latex: $a$+ number: '995588'+ b:+ param-latex: $b$+ number: '10358428955078125'+ c:+ param-latex: $c$+ number: '10358428956073713'+ '1.44330':+ a:+ param-latex: $a$+ number: '1'+ b:+ param-latex: $b$+ number: '512000'+ c:+ param-latex: $c$+ number: '512001'+ '1.44328':+ a:+ param-latex: $a$+ number: '61731'+ b:+ param-latex: $b$+ number: '48828125'+ c:+ param-latex: $c$+ number: '48889856'+ '1.44280':+ a:+ param-latex: $a$+ number: '1289066038662879404041'+ b:+ param-latex: $b$+ number: '39453125000000000000000'+ c:+ param-latex: $c$+ number: '40742191038662879404041'+ '1.44201':+ a:+ param-latex: $a$+ number: '1249446765800288'+ b:+ param-latex: $b$+ number: '1963592529296875'+ c:+ param-latex: $c$+ number: '3213039295097163'+ '1.44181':+ a:+ param-latex: $a$+ number: '22771715409'+ b:+ param-latex: $b$+ number: '348972425216'+ c:+ param-latex: $c$+ number: '371744140625'+ '1.44177':+ a:+ param-latex: $a$+ number: '8387035209728'+ b:+ param-latex: $b$+ number: '99252466918352690625'+ c:+ param-latex: $c$+ number: '99252475305387900353'+ '1.44151':+ a:+ param-latex: $a$+ number: '160412424963707'+ b:+ param-latex: $b$+ number: '217634277343750000'+ c:+ param-latex: $c$+ number: '217794689768713707'+ '1.44144':+ a:+ param-latex: $a$+ number: '29791'+ b:+ param-latex: $b$+ number: '3939110834'+ c:+ param-latex: $c$+ number: '3939140625'+ '1.44096':+ a:+ param-latex: $a$+ number: '42849'+ b:+ param-latex: $b$+ number: '28629151'+ c:+ param-latex: $c$+ number: '28672000'+ '1.44026':+ a:+ param-latex: $a$+ number: '9244796845555712'+ b:+ param-latex: $b$+ number: '87305465605616163'+ c:+ param-latex: $c$+ number: '96550262451171875'+ '1.43906':+ a:+ param-latex: $a$+ number: '1'+ b:+ param-latex: $b$+ number: '19140624'+ c:+ param-latex: $c$+ number: '19140625'+ '1.43835':+ a:+ param-latex: $a$+ number: '1'+ b:+ param-latex: $b$+ number: '2505572351'+ c:+ param-latex: $c$+ number: '2505572352'+ '1.43823':+ a:+ param-latex: $a$+ number: '14321927484375'+ b:+ param-latex: $b$+ number: '101029508532509551847'+ c:+ param-latex: $c$+ number: '101029522854437036222'+ '1.43813':+ a:+ param-latex: $a$+ number: '7505629765697536'+ b:+ param-latex: $b$+ number: '14887652467405109375'+ c:+ param-latex: $c$+ number: '14895158097170806911'+ '1.43785':+ a:+ param-latex: $a$+ number: '52832077950197'+ b:+ param-latex: $b$+ number: '4373797760182125'+ c:+ param-latex: $c$+ number: '4426629838132322'+ '1.43654':+ a:+ param-latex: $a$+ number: '3929319027001'+ b:+ param-latex: $b$+ number: '20925925864527593159'+ c:+ param-latex: $c$+ number: '20925929793846620160'+ '1.43618':+ a:+ param-latex: $a$+ number: '742586'+ b:+ param-latex: $b$+ number: '3521116921'+ c:+ param-latex: $c$+ number: '3521859507'+ '1.43575':+ a:+ param-latex: $a$+ number: '162729'+ b:+ param-latex: $b$+ number: '1042151581574097478352896'+ c:+ param-latex: $c$+ number: '1042151581574097478515625'+ '1.43500':+ a:+ param-latex: $a$+ number: '7168'+ b:+ param-latex: $b$+ number: '78125'+ c:+ param-latex: $c$+ number: '85293'+ '1.43485':+ a:+ param-latex: $a$+ number: '104474391867'+ b:+ param-latex: $b$+ number: '316478381828866048'+ c:+ param-latex: $c$+ number: '316478486303257915'+ '1.43415':+ a:+ param-latex: $a$+ number: '1013888'+ b:+ param-latex: $b$+ number: '226092951133905625'+ c:+ param-latex: $c$+ number: '226092951134919513'+ '1.43395':+ a:+ param-latex: $a$+ number: '101391750713'+ b:+ param-latex: $b$+ number: '8541701586764912'+ c:+ param-latex: $c$+ number: '8541802978515625'+ '1.43360':+ a:+ param-latex: $a$+ number: '139344708952637771'+ b:+ param-latex: $b$+ number: '164883187567419514159104'+ c:+ param-latex: $c$+ number: '164883326912128466796875'+ '1.43346':+ a:+ param-latex: $a$+ number: '12397455648'+ b:+ param-latex: $b$+ number: '2334834480015625'+ c:+ param-latex: $c$+ number: '2334846877471273'+ '1.43345':+ a:+ param-latex: $a$+ number: '1013875'+ b:+ param-latex: $b$+ number: '64186132652918669'+ c:+ param-latex: $c$+ number: '64186132653932544'+ '1.43309':+ a:+ param-latex: $a$+ number: '37569208117'+ b:+ param-latex: $b$+ number: '12721777397216796875'+ c:+ param-latex: $c$+ number: '12721777434786004992'+ '1.43304':+ a:+ param-latex: $a$+ number: '961'+ b:+ param-latex: $b$+ number: '474609375'+ c:+ param-latex: 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