Re: [math-fun] Multiplicative Magic Squares

So the smallest magic product of a 4x4 square of positive integers is either 4320 or 5040. Presumably someone can check whether 4320 is a magic product.

Nice analysis! By hand (the programming was getting nowhere), I found 1 27 8 20 10 16 9 3 24 2 15 6 18 5 4 12 Which has a constant of 4320 on the rows and columns, but not the diagonals. With further noodling, perhaps the diagonals can be fixed. I'm fairly certain Dudeney's 60,466,176 for the 5x5 can be beaten. Ed Pegg Jr Ed Pegg Jr