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Starting with the number 1 and moving to the right
in a clockwise direction a 5 by 5 spiral is formed as follows:
22 23 24 25
20 7 8 9 10
19 6 1 2 11
18 5 4 3 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
the numbers on the diagonals in a 1001 by 1001 spiral formed in the same way?
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