olymmath

PMO 2021 Problem 4

    Determine the set of all polynomials P(x)P(x) with real coefficients such that the set {P(n)∣n∈Z}\{P(n) | n \in \mathbb{Z}\} contains all integers, except possibly finitely many of them.

    Dataset text AI-MO AoPS. Quoted with source.

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