How many solutions are there in $\mathbb{N}\times \mathbb{N}$ to the equation $\dfrac{1}{x} + \dfrac{1}{y} = \dfrac{1}{1995}$ ? I could solve till I got to the point where $1995^2$ is equal to the product of two variables but I couldn't sort out the pairs of factors solving the equation. Help is greatly appreciated.
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1https://math.stackexchange.com/questions/977926/dfrac1a-dfrac1b-dfrac1c-a-b-c-in-mathbbn-with-no-common-factor-fi/977944#977944 – individ Nov 08 '18 at 17:24