MathDB

1

Part of 2015 Mediterranean Mathematical Olympiad

Problems(1)

Infinite values of n, P(3^n) is not prime

Source: MMC 2015 Problem 1

3/29/2016
Let P(x)=x4−x3−3x2−x+1.P(x)=x^4-x^3-3x^2-x+1. Prove that there are infinitely many positive integers nn such that P(3n)P(3^n) is not a prime.
number theorypolynomial