Logic Masters Deutschland e.V.

Prime Killers

(Published on 16. June 2025, 09:02 by Yawnus)

There have been several fascinating mystery killer puzzles where all the cage sums are distinct prime numbers. I started wondering whether it's possible to create a sudoku where any prime could be a cage total.

Soon I discovered that the feat had already been accomplished in Primal Instinct by Agent. However, that version relied on several single-cell cages, so I challenged myself to build one without them. For a long time, it seemed impossible - until I discovered a few key tricks to make it work.

So, here's the result. Enjoy the solve!

Rules:

Normal sudoku rules apply. Digits in a cage cannot repeat and they must sum to a prime number.

Play with SudokuPad

Ratings and feedback are appreciated. If you like this puzzle, you might also be interested in Krop Killers and other mystery killers on my user page.

Solution code: Row 5


Solved by bansalsaab, Chishiri, Dentones, SKORP17, lianarox, Tilberg, RockyRoer, twobear, wenchang, EnPee, Clara123, blueberrypug, SPring, Megalobrainiac, han233ing, peacherwu2, killer_rectangle, steeto, Yaoning, MonsieurTRISTE, zonka, Justalilguy, lucymzme, 0123coolkid, NB_CN, blexxx
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Comments

on 9. July 2025, 09:55 by blexxx
Absolutely fantastic!

on 25. June 2025, 03:38 by lucymzme
This was a lot of fun to solve!

on 24. June 2025, 16:48 by Justalilguy
Very nice puzzle with logical solve, I agree with suggested rating of 4/5 here. And it deserves way more than 88%

on 19. June 2025, 15:50 by peacherwu2
You nailed it! Thanks a lot!

on 17. June 2025, 06:07 by wenchang
Very nice setting. Prime numbers are odd because no 2 is possible for a cage sum.

on 17. June 2025, 01:48 by RockyRoer
I made heavy use of the killer cage calculator on that one! But made it through -- very logical and smooth solve once you start thinking about how to break into it properly. Thanks for sharing it with us!

Difficulty:5
Rating:89 %
Solved:26 times
Observed:3 times
ID:000NT7

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Solution code:

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