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Divide The Cubic, Get The Pairs (Posted on 2007-05-26) Difficulty: 3 of 5
Find all possible positive integers (p,q) with p≤q such that (q³+1)/(pq-1) is an integer.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

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re(2): Solution (a few questions) Comment 5 of 5 |
(In reply to re: Solution (a few questions) by ken)

When I refered to "both factors", I was refering to (pq-1) and f as in the prevoius statement.  As to your second point, it seems I have some more work to do.  I was getting cross-eyed looking at all the p's, q's, and n's when I was working on this problem, maybe I will have a solution tomorrow.
  Posted by Brian Smith on 2007-05-28 23:59:42

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