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Project Euler Problem #028: Number spiral diagonals

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Project Euler Problem #028: Number spiral diagonals

(Problem Link)

Starting with the number 1 and moving to the right in a clockwise direction a 5 by 5 spiral is formed as follows:

<p align="center"> <pre> 21 22 23 24 25 20 7 8 9 10 19 6 1 2 11 18 5 4 3 12 17 16 15 14 13 </pre> </p>

It can be verified that the sum of the numbers on the diagonals is 101.

What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral formed in the same way?


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