How many a 3x3 magic squares using only the 1st nine non-composite numbers exist?

There are none.  To see why, take the first nine non-composite numbers (2,3,5,7,11,13,17,19,23) and calculate their total to be 100.  Now assume that the common sum for all rows/columns/diagonals is X.  The we have 3X=100, but X is the sum of 3 integers.  Thus non magic square can exist.

Posted by Daniel on 2017-11-08 14:01:48