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NT system, x + y + z = 3, x^3 + y^3 + z^3 = 3

Source: Polish MO Second Round 1963 p3

August 31, 2024
number theorysystem of equationsdiophantineDiophantine equation

Problem Statement

Solve the system of equations in integers x+y+z=3x + y + z = 3 x3+y3+z3=3x^3 + y^3 + z^3 = 3
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