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 So far, so good by FrankM)

Don't think Josie made a mistake. Here's what I ended up with:

01-16-31-40-03-18-21-64
30-39-02-17-42-63-04-19
15-32-41-46-53-20-61-22
38-29-48-43-62-45-54-05
33-14-37-52-47-58-23-60
28-49-34-57-44-55-06-09
13-36-51-26-11-08-59-24
50-27-12-35-56-25-10-07

Not sure where exactly you went wrong, Frank, but if you make another go at it, try filling in the cubes (blue) and squares (green) first. They're relatively easy to determine early on, and they provide great starting points for filling in other numbers.

This was really a lot of fun. Thanks, Josie!

Posted by Jyqm on 2008-01-24 13:10:28