Magic Square Calculator: Generate N x N Magic Squares

Generate Your Magic Square

Enter an odd number (N ≥ 3) to generate a magic square.

Magic Square Result:

Order (N):

Magic Constant (M):

Uncover the fascinating world of number theory with our online Magic Square Calculator. Easily generate magic squares of various orders (N x N) and find their unique magic constant. This tool is perfect for students, educators, and puzzle enthusiasts looking to explore the mathematical properties of these intriguing grids. Dive into the art of creating perfect squares!

Formula:

A Magic Square of order 'n' is a square grid where the sum of numbers in each row, each column, and both main diagonals is the same. This sum is called the Magic Constant (M).

For a magic square containing the integers from 1 to n2, the magic constant is calculated as:

M = n × (n2 + 1) / 2

Where:

  • n = The order of the square (number of rows or columns).
  • M = The Magic Constant (sum of any row, column, or main diagonal).

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