Let n>1 be an integer and p be a prime. Prove that if n|p−1 and p|n3−1, then 4p−3 is a perfect square.
Problem
Source: Mathematics Regional Olympiad of Mexico Northeast 2020 P4
Tags: number theory, divides, prime, Perfect Square
Source: Mathematics Regional Olympiad of Mexico Northeast 2020 P4
Tags: number theory, divides, prime, Perfect Square
Let n>1 be an integer and p be a prime. Prove that if n|p−1 and p|n3−1, then 4p−3 is a perfect square.