Sudoku Generator
Generate and play Sudoku puzzles online. Four difficulty levels from easy to expert, with pencil notes, hints, timer, and downloadable printable puzzles.
What Makes a Sudoku Easy, Medium, Hard or Expert?
Difficulty in Sudoku is set by how many numbers are filled in at the start (called "givens"). Easy puzzles start with 36 to 40 givens, medium with 28 to 32, hard with 22 to 26 and expert with the absolute minimum of 17 to 21. The lower the count, the more the solver has to deduce.
An easy Sudoku can usually be solved by simple scanning - look at where a 7 already appears in the grid and work out which empty cell in each row, column or 3x3 box must hold the next 7. Medium puzzles need pencil notes (writing candidates in the corners of cells) and basic techniques like "hidden singles". Hard puzzles require pattern-spotting techniques: pointing pairs, naked triples, X-wings. Expert puzzles, with just 17 starting clues, often need chain logic or trial-and-error in a worst case. The rule that every valid Sudoku must have exactly one solution still applies at every difficulty.
How to Solve Sudoku: The Three Techniques That Crack 90% of Puzzles
Scanning, hidden singles and naked pairs will solve almost every easy and medium Sudoku and will get you through most hard ones. Scanning means looking at each digit 1 through 9 in turn and finding rows, columns or boxes where it can only fit in one cell. Hidden singles means looking inside a row, column or box and finding a cell that can only hold one specific number even though several others might seem possible.
Naked pairs is the next step up: when two cells in a row both contain the same two candidate numbers and nothing else, you can eliminate those two numbers from every other cell in that row. Switch on pencil mode in the generator (the ✎ Pencil button) to write candidates into cell corners as you work. The grid also highlights every cell that shares a row, column or box with your selected cell, plus every other cell containing the same number, which makes spotting these patterns much faster than working with paper.
Difficulty Levels and What to Expect
| Difficulty | Givens | Typical Solve Time | Techniques Needed |
|---|---|---|---|
| Easy | 36 to 40 | 5 to 10 minutes | Scanning only |
| Medium | 28 to 32 | 10 to 25 minutes | Hidden singles, basic notes |
| Hard | 22 to 26 | 20 to 60 minutes | Naked pairs, pointing pairs |
| Expert | 17 to 21 | 1 to 3 hours | X-wings, chains, trial moves |
Printing Sudoku for the Pub, Classroom or Long Flight
Click Download PDF for a print-ready puzzle on a single A4 page. The Solution PDF gives you the answer key on a separate sheet, useful for classroom worksheets where you mark students' work or for pub quiz hosts running a Sudoku-as-tiebreaker round. Both files are watermark-free.
For schools, easy and medium puzzles work well as 5-to-10-minute filler activities for years 4 through 7. Hard and expert make sensible "if you finish early" enrichment material. For long flights, generate three or four hard puzzles before you board - solving without a phone for hints adds about 50% to typical times because the highlighting tools are not available. The grid here uses standard Sudoku notation with thick lines on the 3x3 box borders, so puzzles printed from this tool look identical to those in newspapers and puzzle books.
Frequently Asked Questions
What is the minimum number of clues a Sudoku needs?
17 clues is the proven mathematical minimum. In 2012, researchers searched all possible 16-clue grids by computer and showed that no 16-clue puzzle has a unique solution. The 17-clue puzzles in the expert tier are the hardest mathematically possible without becoming ambiguous. Most published expert puzzles use 18 to 22 clues for a slightly more enjoyable solve.
Can every Sudoku be solved without guessing?
Easy through hard puzzles, yes - all standard solving techniques will reach the answer. Some expert puzzles published in newspapers genuinely require trial and error (pick a candidate, follow it through, and if it leads to a contradiction backtrack and try the other). The puzzles generated here always have a unique solution but expert difficulty may require chain logic that feels like guessing even though it is provably deductive.
How is the puzzle generated to ensure one solution?
The generator first builds a complete valid solution by filling cells one at a time using a recursive backtracking algorithm with random number ordering. It then removes cells based on the chosen difficulty (e.g. 50 cells removed for medium). Because the same starting solution can technically support multiple removal patterns, the puzzle is regenerated if uniqueness checks fail. Every puzzle you download has exactly one valid solution.
Is Sudoku good for the brain?
Studies on cognitive activity in older adults consistently show that puzzles like Sudoku help maintain processing speed and short-term memory, though they do not prevent dementia. For children, Sudoku develops logical reasoning, working memory and patience. The benefit is in the regular practice rather than any single solve - 15 to 20 minutes a few times a week is the typical recommendation.
Why is my puzzle showing red cells?
Red shading means you have entered a number that does not match the puzzle's unique solution for that cell. The check happens silently as you fill cells - it is not telling you which clue is wrong, only that the current entry conflicts with the eventual answer. Toggle Show Solution to see the correct number, or use the Hint button to fill one random empty cell with the correct value.
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