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x^2006 - 4y^2006 - 2006 = 4y^2007 + 2007y

Source: JBMO Shortlist 2007 N2

October 14, 2017
JBMOnumber theory

Problem Statement

Prove that the equation x2006−4y2006−2006=4y2007+2007yx^{2006} - 4y^{2006} -2006 = 4y^{2007} + 2007y has no solution in the set of the positive integers.
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