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MathNet 2017-part-05 — 176 problems (EN–VI) Question 142

Math Olympiad Vault · MathNet 2017-part-05 — 176 problems (EN–VI)

Question 142

Solve the following equation in positive integers $x$, $y$:
$$
x^{2017}-1=(x-1)(y^{2015}-1).
$$