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x^2+8z=3+2y^2, impossible diophantine in N* (HOMC 2008 Q3)

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July 25, 2019
number theorydiophantineDiophantine equation

Problem Statement

Show that the equation x2+8z=3+2y2x^2 + 8z = 3 + 2y^2 has no solutions of positive integers x,yx, y and zz.
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