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Multiply Together, Get Cubic (Posted on 2007-06-21) Difficulty: 4 of 5
Determine all possible integer pairs (p,q) such that p+q+s=pqs, where s=gcd(p,q) and gcd denotes the greatest common divisor.

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

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  Subject Author Date
re(2): if s = 1 (one more solution!)Steve Herman2007-06-23 13:11:21
re: if s = 1 (one more solution!)Charlie2007-06-22 09:32:49
If s > 3Steve Herman2007-06-22 07:50:34
Some ThoughtsIf s = 2Steve Herman2007-06-21 19:36:00
Some Thoughtsif s = 1 (one more solution!)Steve Herman2007-06-21 18:59:58
Some ThoughtsSome steps?Federico Kereki2007-06-21 11:17:35
extended searchCharlie2007-06-21 11:05:34
early results -- no proofCharlie2007-06-21 09:49:24
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