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antimagic square




An n × n square arrangement of the numbers 1 to n2 such that the totals of the n rows and n columns and two long diagonals form a sequence of (2n + 2) consecutive integers. There are no antimagic squares of size 2 × 2 and 3 × 3 but plenty of them for larger sizes. Here is a 4 × 4 example:


 1 13  3 12
15  9  4 10
 7  2 16  8
14  6 11  5


Related entry

   • magic square


Related category

   • GAMES AND PUZZLES