Question 88
Prove that there are infinitely many pairs of positive integers $(m, n)$ such that
$$
\frac{m+1}{n}+\frac{n+1}{m}
$$
is an integer.
$$
\frac{m+1}{n}+\frac{n+1}{m}
$$
is an integer.
MathNet 2017-part-07 — 172 problems (EN–VI) Question 88
Math Olympiad Vault · MathNet 2017-part-07 — 172 problems (EN–VI)