MathDB

4

Part of 2021 Philippine MO

Problems(1)

pmo problem 4

Source: PMO

3/19/2021
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.
number theoryalgebrapolynomialPMO