Sums are products sudoku #3
(Published on 29. July 2025, 02:03 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.
I think this is slightly harder than Sums are products sudoku #1. (But I thought that about Sums are products sudoku #2, and it hasn't been solved very often, so my difficulty estimates are probably worthless.)
Here are 2 more puzzles by other constructors:
Productive Killers by Yawnus
Sudoku Variants Series (465) - Productive Killers by Richard
Solution code: Row 9.
Comments
on 1. May 2026, 07:00 by Nylimb
Added link to SVS puzzle by Richard.
on 30. April 2026, 20:06 by Richard
Thanks for three very nice puzzles with this constraint. Especially this one had a very well telegraphed solve path, although I liked them all three very much! Of course this ruleset inspired me to make a fresh new episode of SVS that will be published tomorrow. :)
@Richard: Thanks; I enjoyed your puzzle. I've added links to it in all 3 of mine.
on 31. March 2026, 10:48 by Nylimb
Added link to puzzle by Yawnus.
on 29. July 2025, 12:33 by Franjo
Funny puzzle. Not hard to get the sums/products here, but the setting is perfect. Thank you very much for creating and sharing.
