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Prime divisors of x^3 + x^2 - 4x + 1 are cubic residues modulo 13

Source: KöMaL A753

June 12, 2019
number theory

Problem Statement

Let pp be a prime divisor of x3+x2āˆ’4x+1x^3 + x^2 - 4x + 1. Prove that pp is a cubic residue modulo 1313.
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