Find four distinct positive integers such that the sum of any three of them is a perfect square.

So the more I thought, the more I realized that it isn't too difficult (i.e. linear systems) to generate all the quads you want without hunting. I have not formalized an exhaustive characterization (I don't think) but I will leave with a last quad:{2981961,3000006,3018033,3036042}

Posted by owl on 2005-02-23 22:08:24