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Power of Multiplication (Posted on 2004-07-16) Difficulty: 2 of 5
A (normal) magic square, containing 9 distinct positive integers, could be made as follows:
2 9 4
7 5 3
6 1 8
Note all rows/columns/diagonals sum to 15.

Can you find the "smallest" multiplication magic square using 9 distinct positive integers where the product of all rows/columns/diagonals are equal?

(One multiplication magic square is smaller than another if its magic product is less than the other's.)

No Solution Yet Submitted by red_sox_fan_032003    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts General solution | Comment 3 of 6 |
Given any magic square, changing all numbers X to A^X for any A will produce a multiplicative magic square, so there are infinite such squares.
  Posted by Federico Kereki on 2004-07-16 18:32:27
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