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Three Quotients and Integer Puzzle (Posted on 2015-06-03) Difficulty: 3 of 5
For how many ordered pairs (p,q) of positive integers with q < p ≤ 2015 is each of p/q, (p+1)/(q+1) and (p+2)/(q+2) an integer?

See The Solution Submitted by K Sengupta    
Rating: 4.5000 (2 votes)

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error Comment 4 of 4 |
I see what I did.  I didn't consider square factors.  Put another way I included non-essential factors.  For example, with q=2, 2*3*4=24 will work for p but so will 3*4.
  Posted by xdog on 2015-06-03 18:39:48
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