MathDB
p^2022|n^2022+2022

Source: Thailand TSTST 2021, test 1, P1

August 16, 2022
number theory

Problem Statement

An odd prime pp is called a prime of the year 20222022 if there is a positive integer nn such that p2022p^{2022} divides n2022+2022n^{2022}+2022. Show that there are infinitely many primes of the year 20222022.