MathDB
Modulo 13

Source: Miklós Schweitzer 2018 P6

November 10, 2018
abstract algebracollege contests

Problem Statement

Prove that if aa is an integer and dd is a positive divisor of the number a4+a3+2a24a+3a^4+a^3+2a^2-4a+3, then dd is a fourth power modulo 1313.