The Maths Site

Home

Forum

Puzzles

Audio

Video

Tools

Donate

History

Contact


Log in here Remember me? Log in invisibly? Forgotten your password? Or Click to register

Puzzles

A long line of numbers

Suppose I start writing the numbers from 1 on up one after another, as follows:
1234567891011121314151617181920212223242526272829...
If I had an infinite amount of time and patience (I in fact have neither!) I could keep this string of digits going forever.

There are two parts to this puzzle:

1. What is the two-millionth digit in this string of numbers?
2. What six-digit number am I writing when I write the two-millionth digit?

Courtesy of Mark Nielsen

Social Bookmarking

Comments

cosmo145	13:48:44, 18 Dec 07
Newbie Group:Members Points: 0 Posts: 0 Warn level: 0	I didn't solve it, but its easy to check if the answer is correct. Your answer seems to be correct. 99999 numbers before 6 digits start comprising of 488889 digits. 351851 - 99999 = 251852 which is the number of 6 digits numbers, those have 1511112 digits. 1511112 + 488889 = 2000001

terveloc	14:04:43, 17 Nov 07
Newbie Group:Members Points: 0 Posts: 5 Warn level: 0	1) 5 2) Last Number: 351851 (bringing the total string length to 2000001). Can anybody confirm this answer?