MathDB

3

Part of 2016 Canada National Olympiad

Problems(1)

Polynomial Prime Values

Source: 2016 CMO #3

4/10/2016
Find all polynomials P(x)P(x) with integer coefficients such that P(P(n)+n)P(P(n) + n) is a prime number for infinitely many integers nn.
algebrapolynomialnumber theory