Logic Masters Deutschland e.V.

Sums are products sudoku #2

(Published on 23. July 2025, 02:02 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.

You can solve this in Penpa or SudokuPad.

Solution code: Row 1.

Last changed on -

Solved by SKORP17, mnhuik, steperlich, Yawnus
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Comments

on 9. March 2026, 17:51 by Yawnus
An absolute gem of a puzzle!! It's a pity that people skip a puzzle like this because they're afraid of multiplication, but the arithmetic is actually easier than in an average killer. The interaction between cages was truly amazing, my favorite was box 8!

Difficulty:3
Rating:N/A
Solved:4 times
Observed:6 times
ID:000O7Q

Puzzle variant Arithmetic puzzle

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Solution code:

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