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PROBLEM 249 Due to the upcoming Fall Break, this problem will remain posted for two weeks. A n ´ n magic square is a square arrangement of n2 consecutive positive integers so that the sum of the n numbers in any row, any column, or any of the two main diagonals is always the same. On the left is an example using the numbers 632 to 640 having common sum 1908. Is there a 4 ´ 4 magic square having common sum 2006? If so, find one, otherwise explain why such a thing can't exist. See Problem 252 for a follow-up. You are visitor
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