Kakuro sum combinations

Every valid digit combination for a Kakuro run of any length and sum, in one reference. Each run is a sequence of cells between black or clue cells; the clue tells you the sum, and digits within the run cannot repeat.

Browse by run length

2 cells

Sum	Combinations	Locked?
3	1	✓
4	1	✓
5	2
6	2
7	3
8	3
9	4
10	4
11	4
12	3
13	3
14	2
15	2
16	1	✓
17	1	✓

3 cells

Sum	Combinations	Locked?
6	1	✓
7	1	✓
8	2
9	3
10	4
11	5
12	7
13	7
14	8
15	8
16	8
17	7
18	7
19	5
20	4
21	3
22	2
23	1	✓
24	1	✓

4 cells

Sum	Combinations	Locked?
10	1	✓
11	1	✓
12	2
13	3
14	5
15	6
16	8
17	9
18	11
19	11
20	12
21	11
22	11
23	9
24	8
25	6
26	5
27	3
28	2
29	1	✓
30	1	✓

5 cells

Sum	Combinations	Locked?
15	1	✓
16	1	✓
17	2
18	3
19	5
20	6
21	8
22	9
23	11
24	11
25	12
26	11
27	11
28	9
29	8
30	6
31	5
32	3
33	2
34	1	✓
35	1	✓

6 cells

Sum	Combinations	Locked?
21	1	✓
22	1	✓
23	2
24	3
25	4
26	5
27	7
28	7
29	8
30	8
31	8
32	7
33	7
34	5
35	4
36	3
37	2
38	1	✓
39	1	✓

Long runs (7–9 cells) → consolidated reference

Sum	Combinations	Locked?
6	1	✓
7	1	✓
8	2
9	3
10	4
11	5
12	7
13	7
14	8
15	8
16	8
17	7
18	7
19	5
20	4
21	3
22	2
23	1	✓
24	1	✓

Sum	Combinations	Locked?
10	1	✓
11	1	✓
12	2
13	3
14	5
15	6
16	8
17	9
18	11
19	11
20	12
21	11
22	11
23	9
24	8
25	6
26	5
27	3
28	2
29	1	✓
30	1	✓

Sum	Combinations	Locked?
15	1	✓
16	1	✓
17	2
18	3
19	5
20	6
21	8
22	9
23	11
24	11
25	12
26	11
27	11
28	9
29	8
30	6
31	5
32	3
33	2
34	1	✓
35	1	✓

Sum	Combinations	Locked?
21	1	✓
22	1	✓
23	2
24	3
25	4
26	5
27	7
28	7
29	8
30	8
31	8
32	7
33	7
34	5
35	4
36	3
37	2
38	1	✓
39	1	✓

Sum	Combinations	Locked?
6	1	✓
7	1	✓
8	2
9	3
10	4
11	5
12	7
13	7
14	8
15	8
16	8
17	7
18	7
19	5
20	4
21	3
22	2
23	1	✓
24	1	✓

Sum	Combinations	Locked?
10	1	✓
11	1	✓
12	2
13	3
14	5
15	6
16	8
17	9
18	11
19	11
20	12
21	11
22	11
23	9
24	8
25	6
26	5
27	3
28	2
29	1	✓
30	1	✓

Sum	Combinations	Locked?
15	1	✓
16	1	✓
17	2
18	3
19	5
20	6
21	8
22	9
23	11
24	11
25	12
26	11
27	11
28	9
29	8
30	6
31	5
32	3
33	2
34	1	✓
35	1	✓

Sum	Combinations	Locked?
21	1	✓
22	1	✓
23	2
24	3
25	4
26	5
27	7
28	7
29	8
30	8
31	8
32	7
33	7
34	5
35	4
36	3
37	2
38	1	✓
39	1	✓

Sum	Combinations	Locked?
6	1	✓
7	1	✓
8	2
9	3
10	4
11	5
12	7
13	7
14	8
15	8
16	8
17	7
18	7
19	5
20	4
21	3
22	2
23	1	✓
24	1	✓

Sum	Combinations	Locked?
10	1	✓
11	1	✓
12	2
13	3
14	5
15	6
16	8
17	9
18	11
19	11
20	12
21	11
22	11
23	9
24	8
25	6
26	5
27	3
28	2
29	1	✓
30	1	✓

Sum	Combinations	Locked?
15	1	✓
16	1	✓
17	2
18	3
19	5
20	6
21	8
22	9
23	11
24	11
25	12
26	11
27	11
28	9
29	8
30	6
31	5
32	3
33	2
34	1	✓
35	1	✓

Sum	Combinations	Locked?
21	1	✓
22	1	✓
23	2
24	3
25	4
26	5
27	7
28	7
29	8
30	8
31	8
32	7
33	7
34	5
35	4
36	3
37	2
38	1	✓
39	1	✓