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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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