MathDB

Digits 2, 5, and 1

Source:

May 12, 2006

AMCAIMEinequalitiesnumber theoryrelatively prime

Problem Statement

The decimal representation of

m/n

, where

m

and

n

are relatively prime positive integers and

m < n

, contains the digits 2, 5, and 1 consecutively, and in that order. Find the smallest value of

n

for which this is possible.