MathDB
Putnam 1940 A1

Source: Putnam 1940

February 22, 2022
Putnamalgebrapolynomialcalculusintegration

Problem Statement

Prove that if f(x)f(x) is a polynomial with integer coefficients and there exists an integer kk such that none of f(1),,f(k)f(1),\ldots,f(k) is divisible by kk, then f(x)f(x) has no integral root.