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x^{2015} + y^{2015} = z^{2016}, diophantine

Source: 2016 Latvia BW TST P19

December 17, 2022
number theoryDiophantine equationdiophantine

Problem Statement

Prove that for equation x2015+y2015=z2016x^{2015} + y^{2015} = z^{2016} there are infinitely many solutions where x,yx,y and zz are different natural numbers.
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