Determine all possible pairs (x,y) of positive integers with gcd(4x+1, 4y-1) = 1 such that x+y divides 16xy+1
Steve Herman, I plead guilty to a little hand-waving on your 1) but Harry takes care of the question nicely.
As to your 2), you're correct. My statement about (x+y) = 1 mod 16 is just wrong. What I should have written is that (x+y) is odd because it factors the odd integer 16xy+1.
Harry, thanks for your explanatory post.
Posted by xdog
on 2015-05-11 10:35:21