A square is magic if each of the rows, columns, and diagonals add up to the same total. So, for example, the square
25 4 19
10 16 22
13 28 7
is magic, since every row, column, and diagonal adds up to 48. Of the nine entries, three (4, 16 and 25) are perfect squares.
The problem is to find a 3 by 3 magic square all of whose entries are
distinct perfect squares, or prove that such a square cannot exist.
Best regards
Espen Harlinn
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