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RU-ALLRUSSIAN 1980 Problem 5

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Are there any solutions in positive integers to a4=b3+c2\mathrm{a}^4 = \mathrm{b}^3 + \mathrm{c}^2 ?

Dataset text NuminaMath olympiads. Quoted with source.

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6^4 = 28^2 + 8^3

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