(In reply to re: Answer, maybe full solution.
by Steve Herman)
The answer to the question is Yes.
It appears the only integers that can appear as the sum are 3 and 4.
There are an infinite number of solutions for each.
(2,2) gives 3
(1,1) gives 4
(y,y(y+1)/x) gives the same number as (x,y) so you can use this to generate an infinite number of solutions from each starting point.
Posted by Jer
on 2015-08-30 20:54:31