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Oct 1, 2017 at 1:10 comment added tomoka kazuki This information is from Wikipedia's article "Mathematics of Sudoku" section "Maximum number of givens". The cited reference (for discovery of 1st 40 clue minimal Sudoku) is: forum.enjoysudoku.com/high-clue-tamagotchis-t30020-135.html Key information is sheet 10, but related information is both before and after sheet 10.
Sep 30, 2017 at 18:20 comment added David Richerby Could you add the citations here, please? Or at least a link to the relevant Wikipedia page.
Sep 30, 2017 at 16:08 comment added tomoka kazuki I have not seen that proven in any paper. Interestingly, nearly all work to find high-clue "h" minimal Sudokus appears to be conducted by a search of known Sudokus, and modifying them to iteratively increase "h". The work to find the minimal 40 clue puzzles produced a database of more than 6,500,000,000 other high-clue minimal puzzles. Except for trivial problems, I have seen almost no rigorous investigation by any means other than "searching". But your proposition is an interesting one.
Sep 30, 2017 at 15:34 comment added rus9384 I'm interested in whether 41 is a proven upper bound (as $\Big\lceil\frac N 2\Big\rceil$).
Sep 30, 2017 at 15:19 review Late answers
Sep 30, 2017 at 18:20
Sep 30, 2017 at 15:12 history edited tomoka kazuki CC BY-SA 3.0
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Sep 30, 2017 at 15:01 history answered tomoka kazuki CC BY-SA 3.0