MathDB
Indian Mathematical Olympiad 1987 - Problem 4

Source:

August 13, 2009
inequalitiesalgebra proposedalgebrawiles orz

Problem Statement

If x x, y y, z z, and n n are natural numbers, and nz n\geq z then prove that the relation x^n \plus{} y^n \equal{} z^n does not hold.