I don't know how to find solutions to this problem other than trial and error. I appreciate all responses.
- Are there Pythagorean triples whose difference also yields a perfect square?
$(a,b,c)$ such that $(a^2+b^2=c^2) \land (b \gt a) \land$ $(b^2−a^2=d^2), a,b,c,d\in \Bbb N$
- Is there also a solution where $a^2$ or $b^2$ is a perfect squares of a prime, and also $c^2$ and $d^2$ are perfect squares of a prime? (three out of four values)