Is there any pair of positive integers,$a,b,c,d$,that $a^2+b^2=c^2$ and $b^2+c^2=d^2$ holds true?
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@peterwhy no,it is not included. – A Math guy Jan 21 '24 at 02:47
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5You may check that $x^2 + y^2$ and $x^2 - y^2$ cannot both be perfect squares at the same time where $x, y \in \mathbb{Z}^+$. – peterwhy Jan 21 '24 at 02:51