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Magic Squares

8 1 6
3 5 7
4 9 2

The 3 × 3 magic square above has the property that its rows, columns and diagonals all have the same sum: 15.

There is more magic to be found in the square:

  • 82 + 12 + 62 = 42 + 92 + 22
  • 82 + 32 + 42 = 62 + 72 + 22
  • 8 × 1 × 6 + 3 × 5 × 7 + 4 × 9 × 2 = 8 × 3 × 4 + 1 × 5 × 9 + 6 × 7 × 2

What magic can you find in the magic square below?

23 6 19 2 15
3 12 25 8 16
10 18 1 14 22
11 24 7 20 3
17 5 13 21 9
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