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2 (x^3 - x) = 5 (y^3 - y) relative prime diophantine

Source: Ukraine TST 2012 p7

April 30, 2020
relatively primenumber theoryDiophantine equation

Problem Statement

Find all pairs of relatively prime integers (x,y)(x, y) that satisfy equality 2(x3−x)=5(y3−y)2 (x^3 - x) = 5 (y^3 - y).
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