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Square expressions (Posted on 2017-02-18) Difficulty: 3 of 5
What are the positive integers k and m,
if both k^2 + 4m and m^2 + 5k are squares of integers?

P&p solution to list all the possible couples.

No Solution Yet Submitted by Ady TZIDON    
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re: A solution | Comment 2 of 3 |
(In reply to A solution by broll)

I agree these are both solutions, but using a computer I was able to find at least one more -- one where m != k+1. I'm not going to post it here until I can derive it without my software, as specified by the problem.
  Posted by Paul on 2017-02-20 17:41:09

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