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Both Squares (Posted on 2023-11-07)

Find all pairs (x, y) of positive integers such that:

Each of x²+197y/2 and y²+197x/2 is a perfect square.

No Solution Yet Submitted by K Sengupta

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some thoughts

| Comment 1 of 2

Positive integers are required so x=y=a=b is not a solution.

If x=y, then only one solution exists in the positive integers: x=4802, a=4851.

If x and y are unequal, there are no solutions.

Posted by broll on 2023-11-07 22:57:53

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