The Modularity Conjecture
(Published on 16. June 2025, 17:49 by zetamath)
[Special thanks to FullDeck and MissingAFewCards who came up with the constraint I used in this puzzle.]
Normal sudoku rules apply.
Digits separated by white dots must differ by 1. Digits separated by black dots must be in a ration of 2:1. Not all dots are necessarily given.
Any three adjacent cells along a line must contain digits with three different remainders when divided by 4.
Have fun, leave a comment if you enjoy the puzzle!
PS: I stream solving sudoku like puzzles two days a week, as well as posting Let's Plays of puzzle games like Blue Prince. You can check out the channel, as well as some videos I have made about setting puzzles, at my YouTube channel here.
Solution code: Row 6
Comments
on 27. June 2025, 19:07 by Sudopera
So much fun and great use of the asymmetry of this for me new rule. Thanks!
on 18. June 2025, 15:57 by Snookerfan
Very nice! Weird and fun new ruleset. Thank you
on 18. June 2025, 10:09 by Fenn
Thanks for the enjoyable puzzle!
Technically the rules don't give any restriction about the two cell line, making the puzzle ambiguous.
on 18. June 2025, 04:36 by jwsinclair
Really interesting idea with logical implications that (at least for me) were tough to wrap my head around, but once I started to get it the puzzle rewarded me in some beautiful ways
on 17. June 2025, 09:46 by PierreTombal
Nice setting to get acquainted with this new constraint. Feels like a lower 3*, maybe even a 2*
on 16. June 2025, 19:49 by Prince Myshkin
Nice break in and very nice puzzle. Thanks, ZM!
