olymmath

RU-ALLRUSSIAN 1980 Problem 18

    Show that there are infinitely many positive integers n such that [a3/2]+[b3/2]=n[\mathrm{a}^{3 / 2}] + [\mathrm{b}^{3 / 2}] = \mathrm{n} has at least 1980 integer solutions.

    Dataset text NuminaMath olympiads. Quoted with source.

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