How to solve diophantine equation $\frac{x^p-y^p}{x-y}=n$

Question

$$\frac{x^p-y^p}{x-y}=n$$ whit $p$ a prime greater than or equal to $3$,for what value to $n$, it's solvable and how to solve,and whether $\frac{x^p-y^p}{x-y}=q_1$ $\frac{x^p-y^p}{x-y}=q_2$ is solvable,$\frac{x^p-y^p}{x-y}=q_1q_2$ is solvable too.