Question 17
Prove that there are no natural numbers $n$ and $k$ that satisfy the equation:
$$
n^n + (n + 1)^{n+1} + (n + 2)^{n+2} = 2023^k.
$$
$$
n^n + (n + 1)^{n+1} + (n + 2)^{n+2} = 2023^k.
$$
MathNet 2023-part-07 — 187 problems (EN–VI) Question 17
Math Olympiad Vault · MathNet 2023-part-07 — 187 problems (EN–VI)