Let $p,q$ be positive prime numbers and suppose $q>5$. Prove that if $q \mid 2^{p}+3^{p}$, then $q>p$. Laurentiu Panaitopol
Problem
Source: Laurentiu Panaitopol,Romania TST 1990
Tags: number theory, prime numbers, number theory proposed
Source: Laurentiu Panaitopol,Romania TST 1990
Tags: number theory, prime numbers, number theory proposed
Let $p,q$ be positive prime numbers and suppose $q>5$. Prove that if $q \mid 2^{p}+3^{p}$, then $q>p$. Laurentiu Panaitopol