olymmath

CN-SMO 2012 Problem 6

    Find the least natural number nn , such that the following inequality holds: n−20112012−n−20122011<n−201320113−n−201120133\sqrt{\dfrac{n-2011}{2012}}-\sqrt{\dfrac{n-2012}{2011}}<\sqrt[3]{\dfrac{n-2013}{2011}}-\sqrt[3]{\dfrac{n-2011}{2013}} .

    Dataset text AI-MO AoPS. Quoted with source.

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