# Sum of two squares

Is it true, that for any two coprime integers ($$x, y$$), any of the positive divisors of $$x^2+y^2$$ can be expressed as sum of two perfect squares.

For example: If $$x=1, y=3$$, then the statement above holds true (here $$x^2+y^2=10$$), because \begin{align} 1 & = 0^2+1^2 \\ 2 & = 1^2+1^2 \\ 5 & = 1^2+2^2 \\ 10 & = 1^2+3^2 \end{align}

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