Question 105
Find all pairs $(a, b)$ of natural numbers such that
$$
\frac{a^{3}+1}{2 a b^{2}+1}
$$
is an integer.
$$
\frac{a^{3}+1}{2 a b^{2}+1}
$$
is an integer.
MathNet 2006 — Part 03 Question 105
Math Olympiad Vault · MathNet 2006 — Part 03
Math Olympiad Vault · MathNet 2006 — Part 03