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a^2 +b^2 +c^2 = 3abc NT

Source: Polish MO Finals 1980 p2

August 24, 2024
number theorydiophantineDiophantine equation

Problem Statement

Prove that for every nn there exists a solution of the equation a2+b2+c2=3abca^2 +b^2 +c^2 = 3abc in natural numbers a,b,ca,b,c greater than nn.
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