Two Variables

Chef played an interesting game yesterday. This game is played with two variables $X$ and $Y$; initially, $X = Y = 0$. Chef may make an arbitrary number of moves (including zero). In each move, he must perform the following process: - Choose any positive integer $P$ such that $P \cdot P \gt Y$. - Change $X$ to $P$. - Add $P \cdot P$ to $Y$. Unfortunately, Chef has a bad memory and he has forgotte