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

Source: MMC 2015 Problem 1

March 29, 2016
number theorypolynomial

Problem Statement

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.
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