Problem #10
Number Spiral Diagonals
Starting with the number 1
and moving to the right in a clockwise direction a 5 x 5
spiral is formed as follows:
21 22 23 24 25
20 07 08 09 10
19 06 01 02 11
18 05 04 03 12
17 16 15 14 13
It can be verified that the sum of the numbers on the diagonals is 101
.
What is the sum of numbers on the diagonals in a 10001 x 10001
spiral formed in the same way?