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Expression Ratio (Posted on 2013-09-03) Difficulty: 4 of 5
Determine all pairs (a,b) of positive integers with a > b, for which (a2+b2)/(a-b) is an integer which divides 1995.

Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
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interesting | Comment 2 of 4 |
a is 2 or 3 times b.  In both cases ratio=5b. Meanwhile b ranges over every multiple of the factors of 1995 excluding 5.
  Posted by xdog on 2013-09-03 20:55:27
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