Question 37
Find all positive integers $n$ such that there exists a prime number $p$, such that
$$
p^{n}-(p-1)^{n}
$$
is a power of $3$.
$$
p^{n}-(p-1)^{n}
$$
is a power of $3$.
MathNet 2026 — Part 07 Question 37
Math Olympiad Vault · MathNet 2026 — Part 07