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MathNet 2019-part-02 — 184 problems (EN–VI) Question 144

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 144

Find all positive integers $n$ such that
$$
\frac{n^{3n-2} - 3n + 1}{3n - 2}
$$
is an integer.