MathDB

very very beautiful

Source: Romania 1997

September 10, 2005

number theory proposednumber theory

Problem Statement

Suppse that

n\geq 3

be an inetegr number and

x\in \mathbb{R}

s.t.

x,x^2

and

x^n

have a same decimal representation. Prove that

x

is an integer number.

Back to Problems View on AoPS