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MathNet 2015-part-03 — 191 problems (EN–VI) Question 159

Math Olympiad Vault · MathNet 2015-part-03 — 191 problems (EN–VI)

Question 159

Determine all positive integers $n$ for which the following quantity is a positive integer:
$$
\frac{10^n}{n^3 + n^2 + n + 1}
$$