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Re:Will We Ever Run Out of Sudoku Puzzles? by 53x15 on Friday October 07, 2022 @04:01PM (#33126227)
> A more reasonable question would be, how many partially completed sudoku grids are there which have a unique solution. We don't know the answer to that.

The number of minimal Sudoku puzzles is estimated (with 0.065% relative error) to be 3.1055e+37 (or 2.5477e+25 for non-isomorphic minimal puzzles). See Bethier https://arxiv.org/pdf/1111.4083.pdf

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