Logic Masters Deutschland e.V.

An anti-arrow nigthmare (3x3)

(Published on 17. July 2025, 22:03 by Sudokode)

In this puzzle, I tried experimenting with an interesting constraint: "Anti-arrow". To create the puzzle, I wrote a little computer program that helped me a lot, and so I was unsure if the puzzle was actually humanly solvable, but I found a clear logic path that leads to the solution afterwards. This puzzle is really hard and may take a while to solve. By the way, this is my first puzzle.

Rules:

Normal sudoku rules apply: Place the digits 1 to 9 in the box so that no digit repeats.

Arrows:
- Digits along an arrow sum to the digit in that arrow circle, which is always located at the arrow's base.
- Arrows can't branch and can't visit a cell more than once.
- Arrows can travel orthogonally and diagonally.

Anti-Arrow: All possible arrows are given.

Prime row: A "P" next to a row indicates that the 3-digit number formed by the digits in that row is a prime number (reading from the "P").

I apologize for my bad English. (I'm a french high school student)

Puzzle:

You can play the puzzle here

Hope you enjoy it!

Solution code: All the digits from top to bottom in reading order

Last changed on on 18. July 2025, 23:04

Solved by Deathranger999, Ood, blueberrypug, Marshal on Mars, steeto, Justalilguy, War, RailMan, Lithusei
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Comments

on 15. August 2025, 21:16 by RailMan
That was a nice puzzle. I like the logic that is hiding in there. Well done!

on 18. July 2025, 23:04 by Sudokode
Updated rules.

on 18. July 2025, 17:47 by Sudokode
Changed the difficulty from 5* to 4*

on 18. July 2025, 01:35 by Sudokode
Updated unclear rules.

on 18. July 2025, 01:32 by Sudokode
@blueberrypug When read from left to right they form a 3-digit prime number. Sorry for the unclear phrasing.

on 18. July 2025, 01:21 by blueberrypug
quick question, for the prime rule, does it mean that the numbers in that row sum to a prime number, or does it mean that when read left to right they form a 3-digit prime number

Difficulty:4
Rating:N/A
Solved:9 times
Observed:4 times
ID:000O91

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