The New Sudoku Players' Forum

[algernon]

One, if it is legal, many otherwise

Seriously: Is there a sudoku with exactly 2006 solutions?
Or must the number of solutions be even, of have
special factors?

I cannot imagine an answer myself, and my solver
does not do brute force yet.

Anyway, I assume the "even" hypothesis is surely wrong, as ruuds
benchmark list has a sudoku with 3673 solutions, which isn't even
divisible by three.

Just curious, any clues?

[JPF]

Have a look at this thread.
You will get some answers to your questions.

Here :

By random searching I've found N-solution grids for N=1,2,...,125332, with no sign that the first gap (at 125333 - at the moment) is at all significant...

JPF

[Chessmaster]

well you could have one with very many soultions suppose you give only one number that is the only number that gives any limitations.

[algernon]

Have a look at this thread.
You will get some answers to your questions.

Thanks, that was exactly the information I was looking for.