olymmath

APMO 1989 Problem 2

  • Paper

Prove that the equation

6(6a2+3b2+c2)=5n26\left(6 a^{2}+3 b^{2}+c^{2}\right)=5 n^{2}

has no solutions in integers except a=b=c=n=0a=b=c=n=0.

Dataset text NuminaMath olympiads. Quoted with source.

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