How many pairs of distinct positive integers $\displaystyle a, b: (b > a)$ exist such that $\displaystyle (a^2 + 1)(b^2 + 1)$ is a square?

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- Feb 11th 2010, 03:30 PMicemanfanAnother squares problem
How many pairs of distinct positive integers $\displaystyle a, b: (b > a)$ exist such that $\displaystyle (a^2 + 1)(b^2 + 1)$ is a square?

- Feb 15th 2010, 12:30 AMNonCommAlg