(1) If . Then ordered integer pair,s of , where

(2) If . Then ordered integer pair,s of , where

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- October 14th 2013, 07:22 PMjacksordered integer pair,s (x,y)
(1) If . Then ordered integer pair,s of , where

(2) If . Then ordered integer pair,s of , where - October 15th 2013, 06:10 AMSlipEternalRe: ordered integer pair,s (x,y)
(1,1) is one such ordered pair for both of those. I ran a check in Mathematica, and up to x=1000, there are no other valid pairs for either of them. You might try continued fractions...

(for part (1))

(for part (2))