Prime-Co Expansion
(Published on 2. February 2022, 03:00 by XeonRisq)
Please do give it a go, and feel free to let me know what you think.
- Normal sudoku rules apply.
- Prime-Co Cages: Cages are to contain alternating Prime and Composite (non-Prime) digits such that no Prime number touches another Prime number orthogonally, and same for Composites. The digit "1" is excluded from both the Prime and Composite sets of digits and will be left out of all cages. The number in the circle between two cells in a cage will be the difference of those two digits, if given.
- Numbers along the indicated diagonal must sum to the given total.
- F-puzzles link - link to solve online
- CtC link - link to solve online
Solution code: Row 8 followed by Column 5
Comments
on 29. June 2022, 18:25 by MartinR
(just solved this from the back catalog as had done a later primo-co one, it's nice once you get the hang of the two alternating sets.
once minor comment, I did assume that digits could not repeat in cages, even though it's not explicitly specified (i.e. behaving killer like, as well as prime-co alternating)
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Thanks for the solve and feedback. As far as the killer cages, very good point, and I think I tinkered with the idea of going both ways, but ultimately went with the way you assumed. (Also I believe that there is no solution with repeats anyway, for this specific grid**)
on 19. February 2022, 10:24 by ough
Nice constraint; sort of like whispers lines in that you remove one digit (5 in whispers, 1 here) and partition the other 8 into two alternating groups ({1,2,3,4} and {6,7,8,9} in whispers, {2,3,5,7} and {4,6,8,9} here). Nice, smooth solve too, approachable.
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Thanks for the solve/feedback. And you are absolutely right, it forms it's own unique parity and in this puzzle exhibits the alternating property of the whispers. Nice insight and appreciate the comment.
on 3. February 2022, 16:53 by Ragna
Fantastisch! :-))
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Danke für die Lösung/das Feedback, schön, dass Ihnen das Rätsel gefallen hat Ragna!!
