olymmath

CMO 2016 Problem 3

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Find all polynomials P(x)P(x) with integer coefficients such that P(P(n)+P(P(n)+ nn ) is a prime number for infinitely many integers nn.

Dataset text NuminaMath olympiads. Quoted with source.

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P(n)=p \text{ where } p \text{ is a prime number and } P(n)=-2 n+b \text{ where } b \text{ is odd}

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