JBMO Shortlist 2020 N7
Source: JBMO Shortlist 2020
July 4, 2021
JuniorBalkanshortlist2020number theory
Problem Statement
Prove that there doesn’t exist any prime such that every power of is a palindrome (a palindrome is a number that is read the same from the left as it is from the right; in particular, a number that ends in one or more zeros cannot be a palindrome).