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MathNet 2022-part-04 — 197 problems (EN–VI) Question 161

Math Olympiad Vault · MathNet 2022-part-04 — 197 problems (EN–VI)

Question 161

Find all positive integers $n$ such that
$$
3^{n-1} + 5^{n-1} \mid 3^n + 5^n.
$$