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ON THE DIOPHANTINE EQUATION (8<i>n</i>)<sup><i>x</i></sup>+(15<i>n</i>)<sup><i>y</i></sup>=(17<i>n</i>)<sup><i>z</i></sup>
Abstract Let a , b , c be relatively prime positive integers such that a 2 + b 2 = c 2 . Half a century ago, Jeśmanowicz [‘Several remarks on Pythagorean numbers’, Wiadom. Mat. 1 (1955/56), 196–202] conjectured that for any given positive integer n the only solution of …