MathDB
2019 Junior Balkan MO, Problem 1

Source: 2019 Junior Balkan MO

June 22, 2019
number theoryJuniorJBMOBalkan2019prime numbers

Problem Statement

Find all prime numbers pp for which there exist positive integers xx, yy, and zz such that the number
xp+yp+zp−x−y−zx^p + y^p + z^p - x - y - z
is a product of exactly three distinct prime numbers.
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