Normal Sudoku rules apply.
Most of the grid is covered in fog.
Placing correct digits will clear fog somewhere in the grid.
Digits on an arrow must multiply to the number in the arrows circle or pill.
Digits on a thermometer must multiply from the bulb end. (i.e. every digit along the thermometer must be a multiple of the previous digit.)
Digits in a cage cannot sum to a prime number.
Purple lines must be split into 2 segments with digits that multiply to consecutive numbers.
Digits may repeat on a purple line if allowed by other rules.
A segment of a purple line can be of any length.
Some examples of what purple lines could look like can be found here
This puzzle is available on SudokuPad
Solution code: Column 8 and Column 9
yesterday, 20:34 by RabidLightning
Does pill imply a maximum of 2 digits for the product of an arrow line?
yesterday, 07:24 by Phase Queen Rachel
Neat break in, and the purple lines were a lovely bunch of mini problems. Great puzz!
on 28. October 2025, 16:42 by Nightmare2805
Added a tag
on 28. October 2025, 02:09 by RockyRoer
Yay for product puzzles! I recommend giving this the products tags so it can be found more easily
on 28. October 2025, 00:49 by dzamie
This was really fun. Don't get much practice with multiplication in sudokus. The purple lines were pretty tricky, though luckily they had a pretty limited set of possible values by the time I got to them.
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