Non-Consecutive Sudoku

No two orthogonally adjacent cells may contain consecutive digits

What is Non-Consecutive Sudoku?

Non-Consecutive Sudoku imposes a global constraint: no two cells that share an edge (orthogonally adjacent) can contain consecutive digits. So if a cell contains 5, all its neighbours must avoid 4 and 6. This single rule dramatically limits candidate placements and can reduce a standard givens count while still producing a uniquely solvable puzzle.

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 Non-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 same-digit adjacency also forbidden?
Same-digit adjacency is already forbidden by standard row/column/box rules — non-consecutive only additionally forbids digits differing by exactly 1.