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MathNet 2007-part-02 — 187 problems (EN–VI) Question 93

Math Olympiad Vault · MathNet 2007-part-02 — 187 problems (EN–VI)

Question 93

Prove that the equation $x^{2006} - 4 y^{2006} - 2006 = 4 y^{2007} + 2007 y$ has no solution in the set of the positive integers.