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MathNet 2007-part-01 — 187 problems (EN–VI) Question 116

Math Olympiad Vault · MathNet 2007-part-01 — 187 problems (EN–VI)

Question 116

Prove that there are no distinct positive integers $x$ and $y$ such that
$$
x^{2007} + y! = y^{2007} + x!.
$$