MathDB

3

Part of 2010 Swedish Mathematical Competition

Problems(1)

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

Source: 2010 Swedish Mathematical Competition p3

4/30/2021
Find all natural numbers n≥1n \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 .
algebrapolynomialInteger Polynomial