A334904 - cp's OEIS frontend

A334904 a(n) is the least integer b such that the fractions (b^0)/p, (b^1)/p, ..., (b^(r-1))/p where p is the n-th prime, produce the A006556(n) distinct cycles.

n	a(n)
1	1
2	2
3	2
4	1
5	2
6	2
7	1
8	1
9	1
10	1
11	3
12	2
13	3
14	2
15	1
16	2
17	1
18	1
19	2
20	7
21	2
22	3
23	2
24	3
25	1
26	2
27	2
28	2
29	1
30	1
31	3
32	1
33	2
34	2
35	1
36	3
37	2
38	2
39	1
40	2
41	1
42	1
43	7
44	1
45	2
46	3
47	2
48	1
49	2
50	1
51	1
52	7
53	7
54	3
55	1
56	1
57	1
58	6
59	2
60	3
61	2
62	2
63	2
64	11
65	1
66	2
67	2
68	1
69	2
70	2
71	2
72	7
73	1
74	2
75	1
76	1
77	1
78	2
79	3
80	7
81	1
82	2
83	7
84	1
85	3
86	2
87	3
88	3
89	1
90	2
91	2
92	13

[1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 3, 2, 3, 2, 1, 2, 1, 1, 2, 7, 2, 3, 2, 3, 1, 2, 2, 2, 1, 1, 3, 1, 2, 2, 1, 3, 2, 2, 1, 2, 1, 1, 7, 1, 2, 3, 2, 1, 2, 1, 1, 7, 7, 3, 1, 1, 1, 6, 2, 3, 2, 2, 2, 11, 1, 2, 2, 1, 2, 2, 2, 7, 1, 2, 1, 1, 1, 2, 3, 7, 1, 2, 7, 1, 3, 2, 3, 3, 1, 2, 2, 13]

cp's OEIS Frontend

A334904 a(n) is the least integer b such that the fractions (b^0)/p, (b^1)/p, ..., (b^(r-1))/p where p is the n-th prime, produce the A006556(n) distinct cycles.

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	1
5	2
6	2
7	1
8	1
9	1
10	1
11	3
12	2
13	3
14	2
15	1
16	2
17	1
18	1
19	2
20	7
21	2
22	3
23	2
24	3
25	1
26	2
27	2
28	2
29	1
30	1
31	3
32	1
33	2
34	2
35	1
36	3
37	2
38	2
39	1
40	2
41	1
42	1
43	7
44	1
45	2
46	3
47	2
48	1
49	2
50	1
51	1
52	7
53	7
54	3
55	1
56	1
57	1
58	6
59	2
60	3
61	2
62	2
63	2
64	11
65	1
66	2
67	2
68	1
69	2
70	2
71	2
72	7
73	1
74	2
75	1
76	1
77	1
78	2
79	3
80	7
81	1
82	2
83	7
84	1
85	3
86	2
87	3
88	3
89	1
90	2
91	2
92	13

n	a(n)
1	1
2	2
3	2
4	1
5	2
6	2
7	1
8	1
9	1
10	1
11	3
12	2
13	3
14	2
15	1
16	2
17	1
18	1
19	2
20	7
21	2
22	3
23	2
24	3
25	1
26	2
27	2
28	2
29	1
30	1
31	3
32	1
33	2
34	2
35	1
36	3
37	2
38	2
39	1
40	2
41	1
42	1
43	7
44	1
45	2
46	3
47	2
48	1
49	2
50	1
51	1
52	7
53	7
54	3
55	1
56	1
57	1
58	6
59	2
60	3
61	2
62	2
63	2
64	11
65	1
66	2
67	2
68	1
69	2
70	2
71	2
72	7
73	1
74	2
75	1
76	1
77	1
78	2
79	3
80	7
81	1
82	2
83	7
84	1
85	3
86	2
87	3
88	3
89	1
90	2
91	2
92	13

n	a(n)
1	1
2	2
3	2
4	1
5	2
6	2
7	1
8	1
9	1
10	1
11	3
12	2
13	3
14	2
15	1
16	2
17	1
18	1
19	2
20	7
21	2
22	3
23	2
24	3
25	1
26	2
27	2
28	2
29	1
30	1
31	3
32	1
33	2
34	2
35	1
36	3
37	2
38	2
39	1
40	2
41	1
42	1
43	7
44	1
45	2
46	3
47	2
48	1
49	2
50	1
51	1
52	7
53	7
54	3
55	1
56	1
57	1
58	6
59	2
60	3
61	2
62	2
63	2
64	11
65	1
66	2
67	2
68	1
69	2
70	2
71	2
72	7
73	1
74	2
75	1
76	1
77	1
78	2
79	3
80	7
81	1
82	2
83	7
84	1
85	3
86	2
87	3
88	3
89	1
90	2
91	2
92	13