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1997 Crossed Difference Product Poser (Posted on 2023-05-22) Difficulty: 3 of 5
Find all pairs (x,y) of positive integers that satisfy this equation:

•   x2+y2 = 1997(x-y)

Provide valid reasoning as to why there are no further solutions.

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
(x,y)=(1827,145), (170,145).

For an explanation, refer to the analytic solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionAnalytic SolutionBrian Smith2023-05-22 10:06:34
SolutionSolutionLarry2023-05-22 07:30:01
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