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diophantine x^3 + y^3 - 3xy = p -1

Source: New Zealand NZMOC Camp Selection Problems 2010 Seniors 3

September 18, 2021
diophantineDiophantine equationnumber theory

Problem Statement

Let pp be a prime number. Find all pairs (x,y)(x, y) of positive integers such that x3+y3−3xy=p−1x^3 + y^3 - 3xy = p -1.
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