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biggest positive integer which divides p^4 - q^4

Source: (2022-) 2023 XVI 16th Dürer Math Competition Finals Day 2 E+15

May 25, 2024
number theorydivides

Problem Statement

What is the biggest positive integer which divides p4āˆ’q4p^4 - q^4 for all primes pp and qq greater than 1010?