A306467 - cp's OEIS frontend

A306467 Let S(n)_k be the smallest positive integer t that t!k is a multiple of n (t!k is k-tuple factorial of t); then a(n) is the smallest k for which S(n)_k = n.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	3
9	2
10	2
11	1
12	3
13	1
14	2
15	3
16	5
17	1
18	4
19	1
20	5
21	3
22	2
23	1
24	9
25	4
26	2
27	7
28	7
29	1
30	6
31	1
32	9
33	3
34	2
35	5
36	13
37	1
38	2
39	3
40	15
41	1
42	6
43	1
44	11
45	10
46	2
47	1
48	15
49	6
50	8
51	3
52	13
53	1
54	14
55	5
56	21
57	3
58	2
59	1
60	15
61	1
62	2
63	14
64	17
65	5
66	6
67	1
68	17
69	3
70	10
71	1
72	35
73	1
74	2
75	12
76	19
77	7
78	6
79	1
80	25

[1, 1, 1, 1, 1, 2, 1, 3, 2, 2, 1, 3, 1, 2, 3, 5, 1, 4, 1, 5, 3, 2, 1, 9, 4, 2, 7, 7, 1, 6, 1, 9, 3, 2, 5, 13, 1, 2, 3, 15, 1, 6, 1, 11, 10, 2, 1, 15, 6, 8, 3, 13, 1, 14, 5, 21, 3, 2, 1, 15, 1, 2, 14, 17, 5, 6, 1, 17, 3, 10, 1, 35, 1, 2, 12, 19, 7, 6, 1, 25]

cp's OEIS Frontend

A306467 Let S(n)_k be the smallest positive integer t that t!k is a multiple of n (t!k is k-tuple factorial of t); then a(n) is the smallest k for which S(n)_k = n.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	3
9	2
10	2
11	1
12	3
13	1
14	2
15	3
16	5
17	1
18	4
19	1
20	5
21	3
22	2
23	1
24	9
25	4
26	2
27	7
28	7
29	1
30	6
31	1
32	9
33	3
34	2
35	5
36	13
37	1
38	2
39	3
40	15
41	1
42	6
43	1
44	11
45	10
46	2
47	1
48	15
49	6
50	8
51	3
52	13
53	1
54	14
55	5
56	21
57	3
58	2
59	1
60	15
61	1
62	2
63	14
64	17
65	5
66	6
67	1
68	17
69	3
70	10
71	1
72	35
73	1
74	2
75	12
76	19
77	7
78	6
79	1
80	25

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	3
9	2
10	2
11	1
12	3
13	1
14	2
15	3
16	5
17	1
18	4
19	1
20	5
21	3
22	2
23	1
24	9
25	4
26	2
27	7
28	7
29	1
30	6
31	1
32	9
33	3
34	2
35	5
36	13
37	1
38	2
39	3
40	15
41	1
42	6
43	1
44	11
45	10
46	2
47	1
48	15
49	6
50	8
51	3
52	13
53	1
54	14
55	5
56	21
57	3
58	2
59	1
60	15
61	1
62	2
63	14
64	17
65	5
66	6
67	1
68	17
69	3
70	10
71	1
72	35
73	1
74	2
75	12
76	19
77	7
78	6
79	1
80	25

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	3
9	2
10	2
11	1
12	3
13	1
14	2
15	3
16	5
17	1
18	4
19	1
20	5
21	3
22	2
23	1
24	9
25	4
26	2
27	7
28	7
29	1
30	6
31	1
32	9
33	3
34	2
35	5
36	13
37	1
38	2
39	3
40	15
41	1
42	6
43	1
44	11
45	10
46	2
47	1
48	15
49	6
50	8
51	3
52	13
53	1
54	14
55	5
56	21
57	3
58	2
59	1
60	15
61	1
62	2
63	14
64	17
65	5
66	6
67	1
68	17
69	3
70	10
71	1
72	35
73	1
74	2
75	12
76	19
77	7
78	6
79	1
80	25