This problem is the latest from Polivka in Quote-Quad (though aimed at APL). FWIW the answer is a cubic in the edge length.

Ralph Selfridge


On Sun, 2 Dec 2007, Roger Hui wrote:

FYI: Problem 28 in www.ProjectEuler.net is as follows:

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

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

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

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


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