Hi, I am struggling with this strange problem. I have to find pairs of positive integers that satisfy two specific conditions. 1. you can’t go from one pair to another by subtracting/adding the same number to both members of the pair. 2. You can’t go from one pair to another by subtracting/adding a number from one of the numbers in the pair. I have so far found the following pairs using a graph paper. Note that the order of the numbers in a pair is not important. (0,0) (1,2) (3, 5) (4, 7) (6, 10) (8, 13) I want to able to find say 100th pair. How should I go about doing this? Also, what branch of mathematics handles this kind of problems? Thanks.