This is a table of each total,
along with the number of cells, the list of number sets, the numbers that
are always in the sets and the numbers that are never in the sets. Other number
combinations have been left out in order to keep the size down.
Click here to see the table of
all number sets.
| All Sets |
No of
Cells |
Sum |
Sets |
Always
Used |
Never
Used |
| 2 | 3 | 12 | 12....... | ..3456789 |
| 2 | 4 | 13 | 1.3...... | .2.456789 |
| 2 | 5 | 14 23 | ......... | ....56789 |
| 2 | 6 | 15 24 | ......... | ..3..6789 |
| 2 | 7 | 16 25 34 | ......... | ......789 |
| 2 | 8 | 17 26 35 | ......... | ...4...89 |
| 2 | 9 | 18 27 36 45 | ......... | ........9 |
| 2 | 10 | 19 28 37 46 | ......... | ....5.... |
| 2 | 11 | 29 38 47 56 | ......... | 1........ |
| 2 | 12 | 39 48 57 | ......... | 12...6... |
| 2 | 13 | 49 58 67 | ......... | 123...... |
| 2 | 14 | 59 68 | ......... | 1234..7.. |
| 2 | 15 | 69 78 | ......... | 12345.... |
| 2 | 16 | 79 | ......7.9 | 123456.8. |
| 2 | 17 | 89 | .......89 | 1234567.. |
| 3 | 6 | 123 | 123...... | ...456789 |
| 3 | 7 | 124 | 12.4..... | ..3.56789 |
| 3 | 8 | 125 134 | 1........ | .....6789 |
| 3 | 9 | 126 135 234 | ......... | ......789 |
| 3 | 10 | 127 136 145
235 | ......... | .......89 |
| 3 | 11 | 128 137 146
236 245 | ......... | ........9 |
| 3 | 19 | 289 379 469
478 568 | ......... | 1........ |
| 3 | 20 | 389 479 569
578 | ......... | 12....... |
| 3 | 21 | 489 579 678 | ......... | 123...... |
| 3 | 22 | 589 679 | ........9 | 1234..... |
| 3 | 23 | 689 | .....6.89 | 12345.7.. |
| 3 | 24 | 789 | ......789 | 123456... |
| 4 | 10 | 1234 | 1234..... | ....56789 |
| 4 | 11 | 1235 | 123.5.... | ...4.6789 |
| 4 | 12 | 1236 1245 | 12....... | ......789 |
| 4 | 13 | 1237 1246 1345 | 1........ | .......89 |
| 4 | 14 | 1238 1247 1256
1346 2345 | ......... | ........9 |
| 4 | 26 | 2789 3689 4589
4679 5678 | ......... | 1........ |
| 4 | 27 | 3789 4689 5679 | ........9 | 12....... |
| 4 | 28 | 4789 5689 | .......89 | 123...... |
| 4 | 29 | 5789 | ....5.789 | 1234.6... |
| 4 | 30 | 6789 | .....6789 | 12345.... |
| 5 | 15 | 12345 | 12345.... | .....6789 |
| 5 | 16 | 12346 | 1234.6... | ....5.789 |
| 5 | 17 | 12347 12356 | 123...... | .......89 |
| 5 | 18 | 12348 12357 12456 | 12....... | ........9 |
| 5 | 19 | 12349 12358 12367
12457 13456 | 1........ | ......... |
| 5 | 31 | 16789 25789 34789
35689 45679 | ........9 | ......... |
| 5 | 32 | 26789 35789 45689 | .......89 | 1........ |
| 5 | 33 | 36789 45789 | ......789 | 12....... |
| 5 | 34 | 46789 | ...4.6789 | 123.5.... |
| 5 | 35 | 56789 | ....56789 | 1234..... |
| 6 | 21 | 123456 | 123456... | ......789 |
| 6 | 22 | 123457 | 12345.7.. | .....6.89 |
| 6 | 23 | 123458 123467 | 1234..... | ........9 |
| 6 | 24 | 123459 123468
123567 | 123...... | ......... |
| 6 | 25 | 123469 123478
123568 124567 | 12....... | ......... |
| 6 | 26 | 123479 123569
123578 124568
134567 | 1........ | ......... |
| 6 | 34 | 136789 145789
235789 245689
345679 | ........9 | ......... |
| 6 | 35 | 146789 236789
245789 345689 | .......89 | ......... |
| 6 | 36 | 156789 246789
345789 | ......789 | ......... |
| 6 | 37 | 256789 346789 | .....6789 | 1........ |
| 6 | 38 | 356789 | ..3.56789 | 12.4..... |
| 6 | 39 | 456789 | ...456789 | 123...... |
| 7 | 28 | 1234567 | 1234567.. | .......89 |
| 7 | 29 | 1234568 | 123456.8. | ......7.9 |
| 7 | 30 | 1234569 1234578 | 12345.... | ......... |
| 7 | 31 | 1234579 1234678 | 1234..7.. | ......... |
| 7 | 32 | 1234589 1234679
1235678 | 123...... | ......... |
| 7 | 33 | 1234689 1235679
1245678 | 12...6... | ......... |
| 7 | 34 | 1234789 1235689
1245679 1345678 | 1........ | ......... |
| 7 | 35 | 1235789 1245689
1345679 2345678 | ....5.... | ......... |
| 7 | 36 | 1236789 1245789
1345689 2345679 | ........9 | ......... |
| 7 | 37 | 1246789 1345789
2345689 | ...4...89 | ......... |
| 7 | 38 | 1256789 1346789
2345789 | ......789 | ......... |
| 7 | 39 | 1356789 2346789 | ..3..6789 | ......... |
| 7 | 40 | 1456789 2356789 | ....56789 | ......... |
| 7 | 41 | 2456789 | .2.456789 | 1.3...... |
| 7 | 42 | 3456789 | ..3456789 | 12....... |
| 8 | 36 | 12345678 | 12345678. | ........9 |
| 8 | 37 | 12345679 | 1234567.9 | .......8. |
| 8 | 38 | 12345689 | 123456.89 | ......7.. |
| 8 | 39 | 12345789 | 12345.789 | .....6... |
| 8 | 40 | 12346789 | 1234.6789 | ....5.... |
| 8 | 41 | 12356789 | 123.56789 | ...4..... |
| 8 | 42 | 12456789 | 12.456789 | ..3...... |
| 8 | 43 | 13456789 | 1.3456789 | .2....... |
| 8 | 44 | 23456789 | .23456789 | 1........ |
| 9 | 45 | 123456789 | 123456789 | ......... |