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2017 PAMO Shortlsit: Power of a prime is a sum of cubes

Source: 2017 Pan-African Shortlist - N2

May 5, 2019
number theoryprime numberssum of cubesalgebrafactorization

Problem Statement

For which prime numbers pp can we find three positive integers nn, xx and yy such that pn=x3+y3p^n = x^3 + y^3?
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