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x^{x+y} =y^{y-x} diophantine

Source: Austrian - Polish 1999 APMC

May 4, 2020
diophantineDiophantine equationnumber theory

Problem Statement

Find all pairs (x,y)(x,y) of positive integers such that xx+y=yyāˆ’xx^{x+y} =y^{y-x}.