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x^n+y^n = 2^m diophantine

Source: 2002 Romania JBMO TST 5.1

May 31, 2020
number theoryDiophantine equationdiophantine

Problem Statement

Let m,n>1m,n > 1 be integer numbers. Solve in positive integers xn+yn=2mx^n+y^n = 2^m.
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