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Number TheoryHardDiophantine Equations

Diophantine Equations · Hard problem

How many ordered triples of integers (x,y,z)(x, y, z) with ∣x∣,∣y∣,∣z∣≤10|x|, |y|, |z| \le 10 satisfy x2+y2=3z2x^2 + y^2 = 3z^2?