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integer p(x), p (1) = p (2) = 0, p (n) is a prime ,

Source: 2010 Swedish Mathematical Competition p3

April 30, 2021
algebrapolynomialInteger Polynomial

Problem Statement

Find all natural numbers n1n \ge 1 such that there is a polynomial p(x)p(x) with integer coefficients for which p(1)=p(2)=0p (1) = p (2) = 0 and where p(n)p (n) is a prime number .