19x19 magic square


Explanation 19x19 magic square

The 19x19 magic square is odd and a prime number. To construct a 19x19 magic square use the same methods to construct a 5x5, 7x7, 11x11, 13x13 and 17x17 magic square. Most perfect magic 19x19 square is panmagic and symmetric.


For more detailed explanation see the 5x5 magic square.


Construction methods

The methods to construct an 19x19 magic square are:

With the first three methods you can construct simple, symmetric 19x19 magic squares.


Use the shift method to construct panmagic 19x19 squares.


The ultra magic 19x19 square is panmagic and symmetric.


A concentric 19x19 magic square is a 3x3 in 5x5 in 7x7 in 9x9 in 11x11 in 13x13 in 15x15 in 17x17 in 19x19 magic square.