Question 43
Determine whether there exists a positive integer $n$ such that $n+2$ divides the following sum
$$
S = 1^{2019} + 2^{2019} + \ldots + n^{2019}.
$$
$$
S = 1^{2019} + 2^{2019} + \ldots + n^{2019}.
$$
MathNet 2019-part-06 — 184 problems (EN–VI) Question 43
Math Olympiad Vault · MathNet 2019-part-06 — 184 problems (EN–VI)