For how many ordered pairs (x, y) of integers is it true that 0<x<y<10^{6} and that the arithmetic mean of x and y is exactly 2 more than the geometric mean of x and y ?
For how many ordered pairs (x, y) of integers is it true that 0<x<y<10^{6} and that the arithmetic mean of x and y is exactly 2 more than the geometric mean of x and y ?