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One digit answer (Posted on 2017-11-08) Difficulty: 2 of 5
How many a 3x3 magic squares using only the 1st nine non-composite numbers exist?

No Solution Yet Submitted by Ady TZIDON    
Rating: 3.0000 (1 votes)

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Solution | Comment 1 of 3
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
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