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ILL 1969 Problem 35

    (HUN2)(HUN 2) Prove that 1+123+133+⋯+1n3<541+\frac{1}{2^3}+\frac{1}{3^3}+\cdots+\frac{1}{n^3}<\frac{5}{4}

    Dataset text AoPS wiki problems. Quoted with source.

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