MathDB

3

Part of 1998 Junior Balkan MO

Problems(1)

find all positive integers such that x^y = y^{x-y}

Source: JBMO 1998, Problem 3, CGMO 2002, Problem 6

10/30/2005
Find all pairs of positive integers (x,y) (x,y) such that x^y \equal{} y^{x \minus{} y}. Albania
inductionalgebranumber theoryequation