How to Play Non-Consecutive Sudoku

No two orthogonally adjacent cells may contain consecutive digits

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The Rules

Standard Sudoku rules apply: fill every row, column, and 3×3 box with the digits 1–9, each appearing exactly once.

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.

For where this puzzle came from, how it compares with related variants and a strategy summary, see our Non-Consecutive Sudoku variant overview.

At a Glance

18–24
Typical givens
Anti-Constraints
Constraint type
~5m
Easy solve time
~13m
Medium solve time

How to Solve Non-Consecutive Sudoku

Beginner
Global Candidate Pruning
For every filled cell, remove its ±1 neighbours from all orthogonally adjacent cells immediately.
Intermediate
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.
Advanced
Forbidden Pair Maps
Build a map of forbidden digit pairs for each adjacent pair of cells and use it to eliminate candidates systematically.
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Common Questions

What is Non-Consecutive Sudoku? ▾

Non-Consecutive Sudoku is a variant where no two horizontally or vertically adjacent cells may contain consecutive digits. There are no markers on the grid — the non-consecutive rule applies globally to every pair of neighbours. Standard Sudoku rules also apply.

How does the global non-consecutive rule constrain the grid? ▾

Every pair of adjacent cells cannot differ by exactly 1. This means you cannot place a 4 next to a 3 or a 5. For every digit you place, you must eliminate that digit ±1 from all orthogonal neighbours. This propagates eliminations across the entire board immediately after every placement.

Which digits are most affected by the non-consecutive rule? ▾

Digits 1 and 9 can only be invalid next to 2 and 8 respectively — so they are least affected. Digit 5 cannot be adjacent to either 4 or 6, which is a moderate restriction. Digits 4, 5, and 6 are most affected because they are adjacent to two common digit pairs simultaneously.

Is Non-Consecutive Sudoku harder than regular Sudoku? ▾

Yes, typically. The global constraint eliminates many more candidates than standard rules alone. Easy puzzles are accessible and resolve quickly. Hard and expert puzzles compensate with fewer given digits, making the non-consecutive constraint the primary source of all deductions.

What is the best first strategy for Non-Consecutive Sudoku? ▾

After placing each digit, immediately mark all orthogonal neighbours as unable to hold ±1. Scan rows and columns for digits that can now only go in one cell due to these combined eliminations. Digit 5 is particularly useful as a placement anchor — wherever 5 is placed, both 4 and 6 are eliminated from all four neighbours.

How long does Non-Consecutive Sudoku take to solve? ▾

Easy puzzles take 5–15 minutes. Medium puzzles run 15–30 minutes. Hard puzzles average 30–55 minutes and expert puzzles can take 60–90 minutes. Non-Consecutive Sudoku rewards players who apply the constraint globally and systematically after every move.

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