{n \in Z: the sum of digits of f(n) is C} is not finite, integer polynomial f(x)
Source: Oliforum Contest III 2012 p2 https://artofproblemsolving.com/community/c2487525_oliforum_contest
September 28, 2021
polynomialsum of digitsnumber theory
Problem Statement
Show that for every polynomial with integer coefficients, there exists a integer such that the set
the sum of digits of is is not finite.