Magic Square
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Magic Square Order 13x13

13x13 Magic Square

Magic Square of Order 13x13 is an odd order magic square type and is also a prime number. There are thirteen rows and thirteen columns with all together 169 different numbers in every puzzles of this type. On addition of numbers horizontally, vertically and diagonally gives the same magic constant. The first Magic Constant found is 1105 which consist of numbers from 1 to 169 which is a primary magic square and has been shown in the picture below.

Magic Square Order 13x13

Fig: Primary Magic Square of Order 13x13 with Magic Constant 1105.


We can get the Standard or Secondary Magic Square of order 13x13 by adding some numbers to the above picture. For example in the picture below we can get a Magic Constant of 1170 by addition of 5 to all the numbers in the cells above. This is shown in the picture below.

Standard Magic Square of Order 13x13

Fig: Standard Magic Square of Order 13x13 with Magic Constant 1170.


We can achieve Derived Magic Square of Order 13x13 by multiplication law. For example: if we multiply the above magic square puzzle by 2 we can get a Magic Constant of 2340 which can be illustrated with following figure:

Derived Magic Square of Order 13x13

Fig: Derived Magic Square of Order 13x13 with Magic Constant 2340.