Question 7
How many integers $k$ are there for which $1 \le k \le n$ and the sum $1 + 2 + \dots + k$ is divisible by $n$, if
a) $n = 2023^{2024}$;
b) $n = 2024^{2023}$?
a) $n = 2023^{2024}$;
b) $n = 2024^{2023}$?
Math Olympiad Vault · MathNet 2024-part-02 — 168 problems (EN–VI)