Normal sudoku rules apply.
Draw an orthogonally connected loop that does not branch or touch itself, not even diagonally. Adjacent digits on the loop sum to a prime number. Arrows are off the loop and count the number of loop cells in the indicated direction.
Digits on a teal line have different modularity when divided by 3.
Shaded circles are odd digits. Shaded squares are even digits.
Solution code: Digits on the loop in row 4.
on 4. July 2026, 11:52 by Snookerfan
Brilliant puzzle! Lovely break-in, very nice interactions with the prime constraint. When the puzzle collapsed near the end, |I stopped checking for adjacent prime sums and assumed that the rule was followed. Thanks
on 4. July 2026, 01:38 by Chaka
Lovely!
on 3. July 2026, 22:11 by caiogi
nice break in! i found checking the prime constraint at the end a bit tedious