Pandiagonal multiplicative magic squares


Pandiagonal multiplicative magic squares are multiplicative magic squares with the "pandiagonal" supplemental feature: all their broken diagonals are also magic, same magic product than the other rows, columns and 2 standard diagonals.

A 3x3 pandiagonal multiplicative magic square is impossible. The smallest possible size is 4x4:

You can check that for example 10*8*12*15 = 8*120*15*1 = 14 400.

As it is for all multiplicative squares, pandiagonal or not, the main interest (and game!) is to construct squares using the SMALLEST possible numbers and/or producing the smallest possible products. The research on these pandiagonal squares is detailed in other multiplicative pages of this site: 4x4, 5x5, 6x6, 7x7, 8x8, 9x9, 10x10, 11x11,...


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