Magic_constant Magic_constant

Magic constant - Definition and Overview

Related Words: Active, Ancient, Antique, Ardent, Atom, Automatic, Balanced, Chronic, Colorfast

The magic constant of a magic square, an n-by-n matrix, is defined such that the sum of any row, column or main diagonal yields the same result, denoted M2(n). If the numbers in the magic square are 1, 2,..., n², then

<math>M_2(n) = \frac{n(n^2+1)}{2}<math>.

Paul Muljadi discovered and proved the Magic constant of n-Queens Problem is also the Magic constant of a Magic Square of order n > 3.

The first few magic constants are 15, 34, 65, 111, 175, 260, 369, 505

See also

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