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MathNet 2009-part-02 — 175 problems (EN–VI) Question 150

Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)

Question 150

Find all integer solutions of the equation.
$$
x^3 = y^{16} + y^{15} + \ldots + y + 9.
$$
(proposed by Ts. Dashdorj)