  Well I can finally sleep at night. There is no urlLink magic knight's tour on a standard 8x8 chessboard.
For those possibly interested, a knight's tour is when a knight travels to all 64 squares on a chessboard, touching each square only once. urlLink A urlLink magic square is when the sum of numbers arranged in a grid is the same for every row, column and diagonal.
This number is known as a urlLink magic constant . urlLink Thus a urlLink magic knight's tour is when the path a laid down in a knight's tour describes a magic box. urlLink Mathematicians have long known of a number of semi-magic knight's tours, where the diagonal did not meet the magic constant. Last month, software written by urlLink J. C. Meyrignac proved that urlLink a magic knight's tour was impossible . It took a 2 GHz Pentium 4 computer over 61 days to process the problem. 
