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EE-MO 2003 Problem 2

    Find all positive integers nn such that n+[n6]≠[n2]+[2n3]n+ \left[ \frac{n}{6} \right] \ne \left[ \frac{n}{2} \right] + \left[ \frac{2n}{3} \right]

    Dataset text AI-MO AoPS. Quoted with source.

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