Question 140
Find all positive integers $n$ and prime numbers $p, q$ which satisfy the equation
$$
n^3 = p^3 + 2p^2q + 2pq^2 + q^3.
$$
$$
n^3 = p^3 + 2p^2q + 2pq^2 + q^3.
$$
MathNet 2019-part-07 — 184 problems (EN–VI) Question 140
Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)