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(q2 + 1)/(pq -1) = Integer (Posted on 2009-12-25) Difficulty: 3 of 5
Find all possible pairs (p, q) of positive integers, with p ≤ q, such that (q2 + 1)/(pq - 1) is an integer.

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
The required pairs are: (1,2) , (1,3) and (2,3).

For an explanation, refer to the solution submitted by Praneeth in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionPraneeth2010-01-08 08:35:43
Computer SolutionJustin2009-12-25 19:52:20
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