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TOT 413 1994 Spring A S1 x^2 + y^2 + z^2 = x^3 + y^3+z^3

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June 12, 2024
number theorydiophantineDiophantine equation

Problem Statement

Does there exist an infinite set of triples of integers x,y,zx, y, z (not necessarily positive) such that x2+y2+z2=x3+y3+z3?x^2 + y^2 + z^2 = x^3 + y^3+z^3?
(NB Vassiliev)
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