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

Home > Just Math
Repdigit Rigor (Posted on 2014-05-11) Difficulty: 3 of 5
Find all positive integers x, y, z so that:
  • x2 + y = z and:
  • Base ten expansion of each of x and y has precisely n digits and that of z has precisely 2n digits, where n > 1.
  • All the digits of x are the same, all the digits of y are the same and all the digits of z are the same.
Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionJer2014-05-12 12:47:31
Some Thoughtscomputer explorationCharlie2014-05-11 16:07:53
Please log in:
Remember me:
Sign up! | Forgot password

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

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information