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MathNet 2020 — Math Olympiad Vault — Part 04 Question 122

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 04

Question 122

Prove that there doesn't exist any prime $p$ such that every power of $p$ is a palindrome (palindrome is a number that is read the same from the left as it is from the right; in particular, number that ends in one or more zeros cannot be a palindrome).