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Past Problem Circle Solutions

In the Problem Circle from the Winter 2013 issue of MTCircular, we asked for integer solutions to the equation x^xy^y = z^z. One such solution is x = 2¹²3⁶, y = 2⁸3⁸, and z = 2¹¹3⁷. Our offer of a free book still stands for the best additional solution sent to problemcircle (at) aimath.org.