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

(In reply to re: Number of Solutions (spoilers present) by Charlie)

Thanks,
I reviewed my list and found my error. I didn't verify that the integers were whole numbers. Found that with the set of squares from 3^2 (min square 3 unique integer can add to) to 12^2. The second soultion was 4 2/3, 27 2/3, 48 2/3, 67 2/3. With my initial setup I limited the set of squares to those with 3 as a factor to get a solution quick without having to worry about not ending up with integers. Forgot to add the integer check back to the verification when I remove the limitation.

The equations were the important part, but I don't kow if they can be transformed into a general solution.

Posted by Robert on 2005-02-24 14:33:15