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

Home > Numbers
Magic constant (Posted on 2005-02-23) Difficulty: 2 of 5
In a magic NxN square, numbers from 1 to Nē are set so the numbers in each row, column, or major diagonal, have the same sum: the "magic constant".

What is the value of this constant, as a function of N?

See The Solution Submitted by e.g.    
Rating: 1.7500 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Spoiler | Comment 2 of 9 |
(In reply to Spoiler by Steve Herman)

To properly specify a function, its domain of definition needs to be given. There are no 2x2 magic squares, so "as a function of N" the magic constant is undefined for N=2. Since N=1 is trivial, usually N is restricted to be 3 or greater.  It is known that there is a magic square (of the standard type that is the subject of this problem) for all N > 2.  At any rate, 2 needs to be excluded from the domain of this function. 
  Posted by Richard on 2005-02-23 15:50:47

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 (14)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information