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infinite many primes divide P(n)

Source: 2022 Austrian Federal Competition For Advanced Students, Part 2 p4

October 5, 2022
number theoryInteger Polynomialpolynomial

Problem Statement

Decide whether for every polynomial PP of degree at least 11, there exist infinitely many primes that divide P(n)P(n) for at least one positive integer nn.
(Walther Janous)
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