RU-ALLRUSSIAN 1966 Problem 3

Can both $\mathrm{x}^2 +\mathrm{y}$ and $\mathrm{x} + \mathrm{y}^2$ be squares for $\mathrm{x}$ and $\mathrm{y}$ natural numbers?

Dataset text NuminaMath olympiads. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

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