Question 67
Given a prime number $p$, determine all ordered pairs of natural numbers $(m, n)$ that verify the equation:
$$
\frac{1}{m} + \frac{1}{n} = \frac{1}{p}
$$
$$
\frac{1}{m} + \frac{1}{n} = \frac{1}{p}
$$
Math Olympiad Vault · MathNet 1997 — Part 01