## Antimagic Square 4X4

An antimagic square is an   $n \times n$   array of integers from  1   to   $n^2$   such that each row, column, and main diagonal produces a different sum such that these sums form a sequence of consecutive integers.

Example #1 :

Notice that in the above example, the sums contain eight consecutive numbers, namely 32 to 39 inclusive.

Here’s an example of   $4 \times 4$   anti-magic square containing more than eight consecutive numbers in its sums.

Example #2 :

the sums are   30, 31, 32, 33, 34, 35, 36, 37, 38, 39

Source and explanation:

http://mathworld.wolfram.com/AntimagicSquare.html