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:





About benvitalis

math grad - Interest: Number theory
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