VTRMC 2013 Problem 4

A positive integer $n$ is called special if it can be represented in the form $n=\frac{x^2+y^2}{u^2+v^2}$ , for some positive integers $x,y,u,v$ . Prove that

(a) $25$ is special; (b) $2014$ is not special; (c) $2015$ is not special.