BALKAN 1996 Problem 2

Let $p$ be a prime number with $p>5$ . Consider the set $X = \left\{p - n^2 \mid n\in \mathbb{N} ,\ n^2 < p\right\}$ . Prove that the set $X$ has two distinct elements $x$ and $y$ such that $x\neq 1$ and $x\mid y$ .

Albania