Question 92
Find all positive integers $m$, $n$, and primes $p \geq 5$ such that
$$
m\left(4 m^{2}+m+12\right)=3\left(p^{n}-1\right)
$$
$$
m\left(4 m^{2}+m+12\right)=3\left(p^{n}-1\right)
$$
MathNet 2013 Question 92
Math Olympiad Vault · MathNet 2013