MathDB
polynomial [n]->Z implies it's Z->Z

Source: Yugoslav TST 1968 P4

May 29, 2021
algebrapolynomial

Problem Statement

If a polynomial of degree n has integer values when evaluated in each of k,k+1,,k+nk,k+1,\ldots,k+n, where kk is an integer, prove that the polynomial has integer values when evaluated at each integer xx.