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1987 OIM Problems/Problem 3

Revision as of 11:49, 13 December 2023 by Tomasdiaz (talk | contribs) (→‎Problem)

Problem

Prove that if $m$, $n$, and $r$ are non-zero positive integers, and \[1+m+n\sqrt{3}=[2+\sqrt{3}]^{2r-1}\] then $m$ is a perfect square.

Solution

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