There is only one pair of numbers, where one is a square and the other a cube, that differ by one.
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Well, 0^2 and 1^3 differ by 1. But then 1^2 and 0^3 also differ by 1.
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Well, 0^2 and 1^3 differ by 1. But then 1^2 and 0^3 also differ by 1.