A236308 - cp's OEIS frontend

A236308 Number of primes q < prime(n)/2 such that the Catalan number C(q) is a primitive root modulo prime(n).

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	1
7	1
8	1
9	4
10	2
11	1
12	4
13	1
14	3
15	3
16	5
17	5
18	5
19	2
20	4
21	5
22	4
23	10
24	4
25	7
26	7
27	4
28	7
29	4
30	9
31	5
32	6
33	10
34	9
35	7
36	5
37	5
38	12
39	12
40	13
41	12
42	4
43	10
44	7
45	13
46	4
47	7
48	10
49	18
50	9
51	14
52	13
53	9
54	9
55	15
56	17
57	16
58	8
59	9
60	12
61	10
62	19
63	13
64	10
65	14
66	14
67	13
68	6
69	18
70	18
71	14
72	24
73	13
74	16
75	9
76	22
77	20
78	12
79	23
80	15

[0, 0, 1, 1, 1, 1, 1, 1, 4, 2, 1, 4, 1, 3, 3, 5, 5, 5, 2, 4, 5, 4, 10, 4, 7, 7, 4, 7, 4, 9, 5, 6, 10, 9, 7, 5, 5, 12, 12, 13, 12, 4, 10, 7, 13, 4, 7, 10, 18, 9, 14, 13, 9, 9, 15, 17, 16, 8, 9, 12, 10, 19, 13, 10, 14, 14, 13, 6, 18, 18, 14, 24, 13, 16, 9, 22, 20, 12, 23, 15]

cp's OEIS Frontend

A236308 Number of primes q < prime(n)/2 such that the Catalan number C(q) is a primitive root modulo prime(n).

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	1
7	1
8	1
9	4
10	2
11	1
12	4
13	1
14	3
15	3
16	5
17	5
18	5
19	2
20	4
21	5
22	4
23	10
24	4
25	7
26	7
27	4
28	7
29	4
30	9
31	5
32	6
33	10
34	9
35	7
36	5
37	5
38	12
39	12
40	13
41	12
42	4
43	10
44	7
45	13
46	4
47	7
48	10
49	18
50	9
51	14
52	13
53	9
54	9
55	15
56	17
57	16
58	8
59	9
60	12
61	10
62	19
63	13
64	10
65	14
66	14
67	13
68	6
69	18
70	18
71	14
72	24
73	13
74	16
75	9
76	22
77	20
78	12
79	23
80	15

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	1
7	1
8	1
9	4
10	2
11	1
12	4
13	1
14	3
15	3
16	5
17	5
18	5
19	2
20	4
21	5
22	4
23	10
24	4
25	7
26	7
27	4
28	7
29	4
30	9
31	5
32	6
33	10
34	9
35	7
36	5
37	5
38	12
39	12
40	13
41	12
42	4
43	10
44	7
45	13
46	4
47	7
48	10
49	18
50	9
51	14
52	13
53	9
54	9
55	15
56	17
57	16
58	8
59	9
60	12
61	10
62	19
63	13
64	10
65	14
66	14
67	13
68	6
69	18
70	18
71	14
72	24
73	13
74	16
75	9
76	22
77	20
78	12
79	23
80	15

n	a(n)
1	0
2	0
3	1
4	1
5	1
6	1
7	1
8	1
9	4
10	2
11	1
12	4
13	1
14	3
15	3
16	5
17	5
18	5
19	2
20	4
21	5
22	4
23	10
24	4
25	7
26	7
27	4
28	7
29	4
30	9
31	5
32	6
33	10
34	9
35	7
36	5
37	5
38	12
39	12
40	13
41	12
42	4
43	10
44	7
45	13
46	4
47	7
48	10
49	18
50	9
51	14
52	13
53	9
54	9
55	15
56	17
57	16
58	8
59	9
60	12
61	10
62	19
63	13
64	10
65	14
66	14
67	13
68	6
69	18
70	18
71	14
72	24
73	13
74	16
75	9
76	22
77	20
78	12
79	23
80	15