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

Home > Numbers
600 sixes (Posted on 2019-02-11) Difficulty: 1 of 5
Can a number consisting of 600 sixes and some zeros be a square?

No Solution Yet Submitted by Danish Ahmed Khan    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Question Proving that a natural number made entirely of 6's and 0's is not a square. Comment 2 of 2 |
The term "infinite descent" should not be used here. If you were stripping off terminal <nobr aria-hidden="true" style="box-sizing: inherit; transition: none 0s ease 0s; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal;">0</nobr><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math>'s two at a time, the term would be technically right. But you are stripping off all the terminal <nobr aria-hidden="true" style="box-sizing: inherit; transition: none 0s ease 0s; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal;">0</nobr><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math>'s to get <nobr aria-hidden="true" style="box-sizing: inherit; transition: none 0s ease 0s; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal;">N</nobr><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>N</mi><mo>′</mo></msup></math>, so you are reaching the square <nobr aria-hidden="true" style="box-sizing: inherit; transition: none 0s ease 0s; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal;">N</nobr><math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>N</mi><mo>′</mo></msup></math> that ends in a <nobr aria-hidden="true" style="box-sizing: inherit; transition: none 0s ease 0s; border: 0px; padding: 0px; margin: 0px; max-width: none; max-height: none; min-width: 0px; min-height: 0px; vertical-align: 0px; line-height: normal;">6</nobr><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>6</mn></math> in one step. Apart from that inaccuracy of wording, the proof is good. Update Madalin Stunt Cars 2 full version.
  Posted by songthermal on 2019-03-07 22:05:25
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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information