Naked Single

A square has only one possible number left.

New to rows, columns, and 3x3 boxes? Review the Sudoku board basics.

Start with the idea

Start with one empty square. In this example, the center square can see 1, 2, 3, 4, 6, 7, 8, and 9 in its row, column, or 3x3 box. The only number left is 5, so 5 is the correct number for that square.

Example

5
3
7
6
1
9
5
9
8
6
8
6
3
4
8
5
3
1
7
2
6
6
2
8
4
1
9
5
8
7
Look here firstStart with the center square. Its row, column, and 3x3 box already rule out every number except 5.

This is a square-solving technique: the correct number for the center square is 5.

A naked single is ready to place because only one possible number remains in that square.

  1. Start with one empty square.
  2. Check its row, column, and 3x3 box.
  3. Place the only number that is still possible.
square to fillfilled squares to check

When to look for it

Use it whenever Pencil Mode or row/column/box scanning leaves one possible number in a square.

How to use it

  1. Pick an empty square with very few possible numbers.
  2. Look at the filled numbers in its row, column, and 3x3 box.
  3. If every number but one is already ruled out, place the number that is left.

Common mistakes

  • A naked single is about one square, not one whole row or box.
  • If two possible numbers remain, keep scanning or use another technique first.

Related Techniques