All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Higher Powers of Eleven (Posted on 2017-05-24) Difficulty: 3 of 5
Let N(x) be the number 122....221 where the digit 2 occurs x times.

Twice in the past we have determined the highest power of 11 that divides N(2001) is 11^3.

What is the smallest x for N(x) to be a multiple of 11^3? What about multiples of 11^4 and 11^5?

See The Solution Submitted by Brian Smith    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Analytic SolutionCharlie2017-05-26 15:45:40
SolutionAnalytic SolutionBrian Smith2017-05-26 11:36:24
Closed formbroll2017-05-26 00:06:45
Solutioncomputer solutionCharlie2017-05-24 11:32:24
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information