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    Judging by the fact it hasn't been solved in 4 months and no feedback given to your comment, it seems that nobody really cares about those corner cases. :( Although they render a good portion of solutions plainly wrong.
    There's also a really interesting one edge case: (2^26 + 1)^2 - 1. Solutions that test for fraction part of sqrt() to be zero will think it's a perfect square.