olymmath

INMO 1989 Problem 4

    Determine all n∈Nn \in \mathbb{N} for which

    • nn is not the square of any integer,
    • ⌊n⌋3\lfloor \sqrt{n}\rfloor ^3 divides n2n^2 .

    Dataset text AI-MO AoPS. Quoted with source.

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