Very large killer cages (7–9 cells)

Cages of 7, 8, or 9 cells are mathematically valid but rarely appear in real puzzles. We collect them on this page rather than dilute the standalone catalog with thirty thin entries.

An 8-cell cage forces the cage's missing digit; a 9-cell cage is the entire row, column, or box, which solves itself. The reference value is in seeing the complete table at a glance.

7 cells

SumValid digit combinations
28
  • {1, 2, 3, 4, 5, 6, 7}
29
  • {1, 2, 3, 4, 5, 6, 8}
30
  • {1, 2, 3, 4, 5, 6, 9}
  • {1, 2, 3, 4, 5, 7, 8}
31
  • {1, 2, 3, 4, 5, 7, 9}
  • {1, 2, 3, 4, 6, 7, 8}
32
  • {1, 2, 3, 4, 5, 8, 9}
  • {1, 2, 3, 4, 6, 7, 9}
  • {1, 2, 3, 5, 6, 7, 8}
33
  • {1, 2, 3, 4, 6, 8, 9}
  • {1, 2, 3, 5, 6, 7, 9}
  • {1, 2, 4, 5, 6, 7, 8}
34
  • {1, 2, 3, 4, 7, 8, 9}
  • {1, 2, 3, 5, 6, 8, 9}
  • {1, 2, 4, 5, 6, 7, 9}
  • {1, 3, 4, 5, 6, 7, 8}
35
  • {1, 2, 3, 5, 7, 8, 9}
  • {1, 2, 4, 5, 6, 8, 9}
  • {1, 3, 4, 5, 6, 7, 9}
  • {2, 3, 4, 5, 6, 7, 8}
36
  • {1, 2, 3, 6, 7, 8, 9}
  • {1, 2, 4, 5, 7, 8, 9}
  • {1, 3, 4, 5, 6, 8, 9}
  • {2, 3, 4, 5, 6, 7, 9}
37
  • {1, 2, 4, 6, 7, 8, 9}
  • {1, 3, 4, 5, 7, 8, 9}
  • {2, 3, 4, 5, 6, 8, 9}
38
  • {1, 2, 5, 6, 7, 8, 9}
  • {1, 3, 4, 6, 7, 8, 9}
  • {2, 3, 4, 5, 7, 8, 9}
39
  • {1, 3, 5, 6, 7, 8, 9}
  • {2, 3, 4, 6, 7, 8, 9}
40
  • {1, 4, 5, 6, 7, 8, 9}
  • {2, 3, 5, 6, 7, 8, 9}
41
  • {2, 4, 5, 6, 7, 8, 9}
42
  • {3, 4, 5, 6, 7, 8, 9}

8 cells

SumValid digit combinations
36
  • {1, 2, 3, 4, 5, 6, 7, 8}
37
  • {1, 2, 3, 4, 5, 6, 7, 9}
38
  • {1, 2, 3, 4, 5, 6, 8, 9}
39
  • {1, 2, 3, 4, 5, 7, 8, 9}
40
  • {1, 2, 3, 4, 6, 7, 8, 9}
41
  • {1, 2, 3, 5, 6, 7, 8, 9}
42
  • {1, 2, 4, 5, 6, 7, 8, 9}
43
  • {1, 3, 4, 5, 6, 7, 8, 9}
44
  • {2, 3, 4, 5, 6, 7, 8, 9}

9 cells

SumValid digit combinations
45
  • {1, 2, 3, 4, 5, 6, 7, 8, 9}