MathDB

Problem 2, Iberoamerican Olympiad 2011

Source:

October 2, 2011

number theory proposednumber theory

Problem Statement

Find all positive integers

n

for which exist three nonzero integers

x, y, z

such that

x+y+z=0

and:

\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{1}{n}