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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's only been solved 3 times so far, so my difficulty estimates are probably worthless.)

You can solve this in Penpa or SudokuPad.

Solution code: Row 9.


Solved by gdc, Dermerlin, Franjo, raaaaa, SKORP17, Xerix, marcmees, ManlyPebbles
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Comments

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.

Difficulty:3
Rating:N/A
Solved:8 times
Observed:3 times
ID:000O7X

Puzzle variant Arithmetic puzzle

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