Logic Masters Deutschland e.V.

The Rules:

1. [Sudoku] Normal sudoku rules apply - fill every row, column and 2x3 box with the digits from 1 to 6.
2. [Mastermind] A four-digit password must be deduced. Each killer cage represents a guess at the password when reading the digits as a four digit number in order starting at the arrows.
   • If a cell is marked green, then that digit is the correct digit in the correct place.
   • If a cell is marked yellow, then that digit is in the password but must be in a different location.
   • If a cell is marked gray, then that digit is not in the password.
   • If a cell is not marked, no information is revealed.
     e.g. if the password is 1234, then a guess of 3514 could have the 3 marked yellow, the five marked silver, the 1 marked yellow and/or the four marked green
   
   Notes about the password:
   • The four digits are all different digits from the set 1-6.
   • The password is a prime number.
   
   
3. [Killer] Digits cannot repeat in a killer cage.
   Notes about Killer Cage totals:
   • The three cages marked with x, y, and z must have unique prime number cage totals.
   • None of the cage totals may sum to a square number.

The Puzzle:

Play on Sven's Sudokupad

Some advice -- I recommend using letters or colors at first. Also, I can assure you, while there should be no need to look up large prime numbers, you might need to know a few basic divisibility tricks. Good luck!