Sums are products sudoku #1
(Published on 17. July 2025, 01:01 by Nylimb)
Normal sudoku rules apply: Fill the grid with digits from 1 to 9, so that every row, column, and 3x3 box contains each of the 9 digits exactly once.
Dotted lines define some cages within the grid. Digits may not repeat within a cage. Whenever two cages share an edge, the sum of the digits in one of the cages equals the product of the digits in the other. For example, a cage containing 1, 3, and 6 might share an edge with one containing 2 and 5, since 1+3+6 = 2*5. Cages which meet only at a corner are not restricted in this way.
This puzzle is intended as an easy introduction to the constraint. Here are some harder ones:
Productive Killers by Yawnus
Sudoku Variants Series (465) - Productive Killers by Richard
Solution code: Row 9.
Comments
on 1. May 2026, 23:41 by dzamie
I went to enter the solution code only to find I'd solved this one last year, too.
Still an excellent puzzle. It's so nice when the pieces all start falling into place.
on 1. May 2026, 06:56 by Nylimb
Added link to SVS puzzle by Richard.
on 31. March 2026, 10:42 by Nylimb
Added link to puzzle by Yawnus.
on 29. July 2025, 01:22 by Nylimb
Added link to puzzle #3.
on 23. July 2025, 22:13 by dzamie
This one was tough! Kept losing track of which numbers were where in a few boxes.
on 23. July 2025, 06:02 by Nylimb
Added link to puzzle #2.
on 17. July 2025, 19:41 by Yawnus
Very nice mystery cage puzzle!
on 17. July 2025, 14:47 by Qodec
That was much fun, thanks!
on 17. July 2025, 12:47 by RockyRoer
More products puzzles plz!! :-)
@RockyRoer: Puzzle number 2 is now available at:
https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=000O7Q
