olymmath

NZ-NZMO 2025 Problem 8

    Show that there are infinitely many triples (a,b,c)(a, b, c) of positive integers such that

    a2+b2+c2+(a+b+c)2=abc.a^{2} + b^{2} + c^{2} + (a + b + c)^{2} = abc.

    Dataset text NuminaMath olympiads. Quoted with source.

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