Method 1 (method of death): Pay attention to the increasing direction of numbers: starting from one line and one column, followed by lower left, lower right, lower left, upper left and upper right. .......

It is found that numbers are constantly surrounded by squares, so the law is on the diagonal: 1, 3,7, 13. ......

Plus two, four, six ... are even numbers.

In 2008, in the nth column (row),

Then 1+2+4+...+2 * (n- 1) is greater than 2008.

1+2+4+...+2 * (n-2) is less than 2008

The solution is feasible.

Method 2:

Pay attention to the position of the square.

Because 4= 1+3

9= 1+3+5

16= 1+3+5+7

.......

All squares are in the first row or column.

Because the square of 45 2 > 2008 & gt44 2 45 is 2025-2008 = 17.