Question 17
Determine all pairs $(m, n)$ of positive integers $m$ and $n$ such that
$$
\frac{3^{m}+3}{2^{n}+2^{n-1}}
$$
is an integer.
$$
\frac{3^{m}+3}{2^{n}+2^{n-1}}
$$
is an integer.
MathNet 2005 — Part 03 Question 17
Math Olympiad Vault · MathNet 2005 — Part 03