musicgold
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Finding pairs of numbers that meet a specific criteria
Posted:
Oct 31, 2011 11:50 AM


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.
Question cross posted at: http://www.physicsforums.com/showthread.php?p=3590295&posted=1#post3590295

