A233519 - cp's OEIS frontend

A233519 The number of times x^x == x (mod prime(n)) for x in 0 < x < prime(n).

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

[1, 1, 1, 2, 1, 2, 3, 2, 2, 2, 3, 2, 5, 3, 2, 1, 1, 4, 3, 2, 5, 4, 1, 4, 5, 3, 4, 1, 2, 5, 5, 3, 5, 4, 2, 5, 7, 3, 2, 2, 1, 5, 3, 9, 3, 7, 6, 2, 1, 2, 6, 3, 8, 5, 5, 2, 1, 8, 3, 10, 2, 1, 8, 6, 9, 1, 9, 12, 1, 5, 5, 2, 4, 6, 6, 2, 1, 4, 5, 9, 4, 4, 3, 6, 4, 5, 6]

cp's OEIS Frontend

A233519 The number of times x^x == x (mod prime(n)) for x in 0 < x < prime(n).

Table of values

List of values

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

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

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