Anti-Consecutive Sudoku

Orthogonally adjacent cells may not contain consecutive digits

What is Anti-Consecutive Sudoku?

Anti-Consecutive Sudoku (a stricter form of Non-Consecutive Sudoku) imposes the rule that no two orthogonally adjacent cells may contain consecutive integers. This variant often requires fewer given digits because the constraint alone eliminates so many candidate pairs. It is sometimes combined with Anti-King or Anti-Knight to create extremely constrained puzzles.

At a Glance

Constraint typeAnti-Constraints
Typical givens18–24
Difficulty rating ★★★☆☆ 3/5
Avg. solve time — Easy5 min
Avg. solve time — Medium13 min
Avg. solve time — Hard26 min
Avg. solve time — Expert48 min

How to Solve Anti-Consecutive Sudoku

TechniqueWhat it doesLevel
Global Candidate Pruning For every filled cell, remove its ±1 neighbours from all orthogonally adjacent cells immediately. Beginner
Digit 5 is Most Constrained 5 cannot be adjacent to 4 or 6. Use this to restrict placement of 5 across the entire grid. Intermediate
Chain Propagation Placing a digit propagates constraints along rows and columns, often triggering a cascade of forced placements. Intermediate
Forbidden Pair Maps Build a map of forbidden digit pairs for each adjacent pair of cells and use it to eliminate candidates systematically. Advanced

Average Solve Times

Easy
5 min
Medium
13 min
Hard
26 min
Expert
48 min

Frequently Asked Questions

Which cells count as adjacent?
Only orthogonally adjacent cells — sharing an edge horizontally or vertically. Diagonal neighbours are unaffected.
Is Anti-Consecutive different from Non-Consecutive?
They use the same constraint — no two orthogonally adjacent cells may contain consecutive digits. Anti-Consecutive is another name for the same variant.