Not so quick resolution
Let \(n > 0\) be product of two different prime numbers.
How many different pairs of positive integers \(((x,y)\) satisfy:
\[ n^3 + x^2 = y^2 ? \]
The answer to type in: If there are a pairs of \((x,y)\) for a given even \(n\) and \(b\) pairs of \((x,y)\) that solve the equation for a given odd \(n\), then type in the sum of \(a+b\).