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Integer Pairs (Posted on 2013-05-30) Difficulty: 3 of 5
Find all pairs (x,n) of positive integers such that
xn + 2n + 1 is a divisor of xn+1 + 2n+1 + 1

  Submitted by K Sengupta    
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Solution: (Hide)
(x,n) = (4,1) and (11,1) are the only possible solutions.

For a detailed explanation, refer to the solution submitted by Paul in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionsolution with very inelegant proofPaul2013-06-04 03:11:16
Some Thoughtscomputer explorationCharlie2013-05-30 17:43:21
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