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MathNet 2017-part-07 — 172 problems (EN–VI) Question 89

Math Olympiad Vault · MathNet 2017-part-07 — 172 problems (EN–VI)

Question 89

Determine all primes $p$ such that there exists an integer $x$ satisfying $x^{2010} + x^{2009} + \cdots + 1 \equiv p^{2010} \pmod{p^{2011}}$.