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MathNet 2020 — Math Olympiad Vault — Part 04 Question 119

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 04

Question 119

Find all prime numbers $p$ such that
$$
(x+y)^{19}-x^{19}-y^{19}
$$
is a multiple of $p$ for any positive integers $x, y$.