Find all sets of four natural numbers such that the square of each of them, when added to the sum of the other three, again yields a perfect square.

(In reply to No Subject by brianjn)

Brian: I think you have not answered the question as posed. In fact, we need to find natural numbers, a, b, c, d, such that:

a² + (b + c + d) = p²

b² + (a + c + d) = q²

...  etc.

where p, q, ... are also natural numbers.

:-)

Posted by JayDeeKay on 2008-12-11 20:59:08