What is the biggest positive integer which divides $p^4 - q^4$ for all primes $p$ and $q$ greater than $10$?
Problem
Source: (2022-) 2023 XVI 16th Dürer Math Competition Finals Day 2 E+15
Tags: number theory, divides
Source: (2022-) 2023 XVI 16th Dürer Math Competition Finals Day 2 E+15
Tags: number theory, divides
What is the biggest positive integer which divides $p^4 - q^4$ for all primes $p$ and $q$ greater than $10$?