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MathNet 2007-part-03 — 185 problems (EN–VI) Question 83

Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)

Question 83

Let $x$, $y$, $n$ be positive integers with $n \gt 1$. How many ordered triples $(x, y, n)$ of solutions are there to the equation $x^{n} - y^{n} = 2^{100}$?