Question 19
Determine all pairs $(m,n)$ of odd natural numbers such that
$$
n\mid 3m+1\qquad\text{and}\qquad m\mid n^2+3.
$$
$$
n\mid 3m+1\qquad\text{and}\qquad m\mid n^2+3.
$$
MathNet 2021 — Part 10 Question 19
Math Olympiad Vault · MathNet 2021 — Part 10