Logic Masters Deutschland e.V.

Thanks to Aletheia and sanabas for testing!

Estimated difficulty 3.5 due to keeping track of a lot of numbers.

Regular sudoku rules apply.

Each cell in the grid has a unique value n, from 1 to 81, in some order. The largest factor of n from 1-9 represents that number in the grid, with the following rules for primes:
- Each 1 digit is associated with itself or a prime number containing a 1 in the number (such as 19 or 61).
- Any remaining prime numbers may be represented by any remaining digits not already representing another number n.

Arrows: values along an arrow sum to the number in the circle. For clarification, the arrows on r4c6-r5c7 are crossing.

Killer Cages: values in a killer cage sum to the value in the top left corner of the cage.

Kropki dots: white dots separate consecutive values, and black dots separate values at a 1:2 ratio.

Anti-factor lines (red): no value that is a multiple or factor of the length of the line may appear on the line.

Anti-prime lines (green): prime values do not occur on anti-prime lines.

Thermometers: values increase along grey thermometer lines from the bulb to the tip.

The puzzle:

Play here:

SudokuPad