1987 OIM Problems/Problem 3
Problem
Prove that if 
, 
, and 
are non-zero positive integers, and
![\[1+m+n\sqrt{3}=[2+\sqrt{3}]^{2r-1}\]](http://latex.artofproblemsolving.com/9/1/5/915befa846798acdafe765d0ea82c08321e86dea.png)
then is a perfect square.
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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