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MathNet 2015-part-07 — 185 problems (EN–VI) Question 113

Math Olympiad Vault · MathNet 2015-part-07 — 185 problems (EN–VI)

Question 113

Compute the smallest positive integer $n$ for which
$$
0 \lt \sqrt[4]{n} - \lfloor \sqrt[4]{n} \rfloor \lt \frac{1}{2015}
$$