perplexus.info :: Numbers : Magic constant

Magic constant (Posted on 2005-02-23)

In a magic NxN square, numbers from 1 to N² 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)

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Solution

| Comment 5 of 10 |

Sum of 1 to N² numbers will be N²*(N²+1)/2
Each row has same sum, as there are N rows, this constant
must be (N²*(N²+1)/2)/N=N*(N²+1)/2

Posted by Praneeth on 2007-08-14 01:50:17

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