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.
Turquoise lines must be split into 2 segments with digits that multiply to consecutive numbers.
Digits may repeat on a turquoise line if allowed by other rules.
A segment of a turquoise line can be of any length.
Some examples of what turquoise lines could look like can be found here
This puzzle is available on SudokuPad
Solution code: Column 8 and Column 9
on 22. December 2025, 09:01 by SirRanch
I was pleasantly surprised by how the logic led me to filling unexpected new digits throughout the puzzle. Figuring out each fog step was a mini 'Aha' moment. Solving it was quite a treat. Thank you Nightmare.
on 27. November 2025, 18:07 by eap314
I did go back and check if everything was logical. Very nice puzzle, especially if you just go with your gut.
on 25. November 2025, 10:16 by Nightmare2805
Improved visibility
on 7. November 2025, 21:44 by Nightmare2805
@RabidLightning
No, pills can be of any size.
on 6. November 2025, 22:28 by TheJRMY
I love everything about this puzzle.
on 4. November 2025, 20:34 by RabidLightning
Does pill imply a maximum of 2 digits for the product of an arrow line?
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