Logic Masters Deutschland e.V.

Someone has stolen the lines! Enable Pen Tool to retrieve them.


Normal sudoku rules apply.

Prime Decomposition Lines: Place a unique digit 1-9 in each of the circles. From each circle, draw a line of 0 or more cells which comprise the circle’s prime decomposition. That is, all digits on the line are prime, and their product is the circled digit.

Lines cannot intersect or overlap each other (or other circles). Each line must travel in a straight line from its circle; this can be horizontally, vertically or diagonally.

White Kropki: Digits separated by a white dot are consecutive.


Once the puzzle is completed, the prime decomposition lines are sharpened into arrows. Delete all digits except for the circled digits and solve again.

Arrows: Digits along a line must sum to the digit in the attached circle.

(Any feedback in the comments would be appreciated!)