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Anti-Consecutive Sudoku is a variant where no two orthogonally adjacent cells (horizontally or vertically neighbouring) may contain consecutive digits. The rule applies everywhere on the grid without any markers. Standard Sudoku rules also apply throughout.

Anti-Consecutive and Non-Consecutive Sudoku are the same constraint — the name is used interchangeably by different puzzle communities. Both mean: no two horizontally or vertically neighbouring cells may hold digits that differ by exactly 1.

Digits in the middle of the range (4, 5, 6) eliminate two consecutive neighbours simultaneously. Placing a 5 removes both 4 and 6 from all four orthogonal neighbours, and placing those 4s and 6s in turn removes 3 and 7 from their neighbours — creating a cascade effect. Starting with central digits often unlocks large portions of the grid.

The rule is simple and the early eliminations are satisfying and obvious. Easy puzzles are well-suited for Sudoku players who want a step up from classic without learning arithmetic (like Killer or Arrow). The non-consecutive constraint is entirely logic-based.

Treat the anti-consecutive constraint as an additional elimination layer. After every digit placement, immediately update all four orthogonal neighbours to remove ±1 from their candidate lists. The more given digits you have to start with, the more these cascade eliminations interact.

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. Expert puzzles with very few given digits rely entirely on the anti-consecutive constraint for deductions.