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

Home > Numbers
One digit answer (Posted on 2017-11-08) Difficulty: 2 of 5
How many a 3x3 magic squares using only the 1st nine non-composite numbers exist?

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution | Comment 1 of 3
There are none.  To see why, take the first nine non-composite numbers (2,3,5,7,11,13,17,19,23) and calculate their total to be 100.  Now assume that the common sum for all rows/columns/diagonals is X.  The we have 3X=100, but X is the sum of 3 integers.  Thus non magic square can exist.
  Posted by Daniel on 2017-11-08 14:01:48
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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

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