There are 6670903752021072936960 Sudoku grids

Bertram Felgenhauer and Frazer Jarvis

This page contains details of the enumeration of Sudoku grids. See for more details. The algorithm is a brute force count: all programs were written by Bertram Felgenhauer, incorporating several ideas of mine which reduce considerably the size of the brute force search.

We have written a short article, which is now available.

In addition, this page contains a program due to Ed Russell which independently verified the original calculations. (Thanks to Ed for allowing us to make this available on this page.)

Bertram Felgenhauer's programs and data

Programs to reduce the configuration list
Reduced list of configurations
Program to count number of completions of a configuration to a fill grid

Ed Russell's program and data

Additional pages of data

Frazer Jarvis, June 27th 2005. Home page.