A knight enters the grid at number 1 and then moves, as if he were on a chessboard, to number 2. He visits every square in numerical order, before exiting at number 64.

KEY:
Blue = cube numbers (1, 8, 27 and 64)
Green = squares which are not cubes (4, 9, 16, 25, 36 and 49)
Red = prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59 and 61)
Yellow = multiples of ten (10, 20, 30, 40, 50 and 60)
Purple = multiples of 11 which are not prime (22, 33, 44 and 55)

One number has been added to get you started.

				35

(In reply to Step by step Walkthrough by nikki)

With due respects to the late Grandmaster Bobby Fischer, I hope you never take up annotating chess games using terms like: AKMA and TIOOECA!!  :-)

At the same time I hope Josie doesn't, and she probably will, read this word by word so as to be in sync with her mind at close to midnight!!

Nikki, I always love seeing your detail and attention to many of your solutions;  I trust that they don't happen on company time.

Posted by brianjn on 2008-01-25 03:32:10