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MathNet 2024-part-02 — 168 problems (EN–VI) Question 7

Math Olympiad Vault · MathNet 2024-part-02 — 168 problems (EN–VI)

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) $n = 2024^{2023}$?