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Technically 0, 9 and 16 qualify. Add any two together and they still make perfect squares (i.e. numbers whose square roots are integers).

I couldn't find any others < 625 or 252

41, 80 and 320 work!

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Also, 17, 32, and 32

and 72, 72, and 217

...

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Q: Find three numbers such that their sum is a perfect square and the sum of any two is perfect square Can you find the three numbers all of which are less than 500?
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