Logic Masters Deutschland e.V.

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!