Question 40
Let $n \geq 2$ be an integer. Prove that if
$$
\frac{n^{2}+4^{n}+7^{n}}{n}
$$
is an integer, then it is divisible by $11$.
$$
\frac{n^{2}+4^{n}+7^{n}}{n}
$$
is an integer, then it is divisible by $11$.
MathNet 2022-part-05 — 197 problems (EN–VI) Question 40
Math Olympiad Vault · MathNet 2022-part-05 — 197 problems (EN–VI)