# Solution: 34 is the key to the magic square

## Since the square is known to be magic, we can assume from basic "magic theory" that the missing numbers are those absent at the moment from the series 1 to 16. The main insight then required is to spot that the third column from the left must contain both 2 and 3, in order to achieve the 34 constant (because 1 and 4 are already positioned).

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Since the square is known to be magic, we can assume from basic "magic theory" that the missing numbers are those absent at the moment from the series 1 to 16. The main insight then required is to spot that the third column from the left must contain both 2 and 3, in order to achieve the 34 constant (because 1 and 4 are already positioned).

Next, examination of the possibilities for the 15, ?, ?, 12 diagonal reveals that the 2 will need to be next to the 12, thus making the complete diagonal 15, 5, 2, 12. The rest is easy.

Ivor Smith will receive £20 for this neat little contribution.

Here is the completed array:

1 13   12

14

11

2

7

4

5

16

9

15

10

3

6

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