A307551 - cp's OEIS frontend

A307551 Number of iterations of the map of quadratic residues x -> x^2 (mod prime(n)) with the initial term x = n^2 (mod prime(n)) needed to reach the end of the cycle.

n	a(n)
1	0
2	0
3	1
4	1
5	3
6	2
7	3
8	1
9	9
10	3
11	3
12	5
13	5
14	5
15	10
16	11
17	27
18	4
19	9
20	2
21	3
22	11
23	19
24	11
25	4
26	20
27	7
28	51
29	17
30	2
31	5
32	11
33	9
34	10
35	35
36	19
37	11
38	5
39	81
40	13
41	10
42	3
43	35
44	6
45	21
46	29
47	11
48	35
49	27
50	18
51	27
52	7
53	5
54	99
55	7
56	129
57	65
58	35
59	10
60	2
61	22
62	9
63	23
64	19
65	13
66	38
67	19
68	8
69	171
70	27
71	13
72	177
73	59

[0, 0, 1, 1, 3, 2, 3, 1, 9, 3, 3, 5, 5, 5, 10, 11, 27, 4, 9, 2, 3, 11, 19, 11, 4, 20, 7, 51, 17, 2, 5, 11, 9, 10, 35, 19, 11, 5, 81, 13, 10, 3, 35, 6, 21, 29, 11, 35, 27, 18, 27, 7, 5, 99, 7, 129, 65, 35, 10, 2, 22, 9, 23, 19, 13, 38, 19, 8, 171, 27, 13, 177, 59]

cp's OEIS Frontend

A307551 Number of iterations of the map of quadratic residues x -> x^2 (mod prime(n)) with the initial term x = n^2 (mod prime(n)) needed to reach the end of the cycle.

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	1
5	3
6	2
7	3
8	1
9	9
10	3
11	3
12	5
13	5
14	5
15	10
16	11
17	27
18	4
19	9
20	2
21	3
22	11
23	19
24	11
25	4
26	20
27	7
28	51
29	17
30	2
31	5
32	11
33	9
34	10
35	35
36	19
37	11
38	5
39	81
40	13
41	10
42	3
43	35
44	6
45	21
46	29
47	11
48	35
49	27
50	18
51	27
52	7
53	5
54	99
55	7
56	129
57	65
58	35
59	10
60	2
61	22
62	9
63	23
64	19
65	13
66	38
67	19
68	8
69	171
70	27
71	13
72	177
73	59

n	a(n)
1	0
2	0
3	1
4	1
5	3
6	2
7	3
8	1
9	9
10	3
11	3
12	5
13	5
14	5
15	10
16	11
17	27
18	4
19	9
20	2
21	3
22	11
23	19
24	11
25	4
26	20
27	7
28	51
29	17
30	2
31	5
32	11
33	9
34	10
35	35
36	19
37	11
38	5
39	81
40	13
41	10
42	3
43	35
44	6
45	21
46	29
47	11
48	35
49	27
50	18
51	27
52	7
53	5
54	99
55	7
56	129
57	65
58	35
59	10
60	2
61	22
62	9
63	23
64	19
65	13
66	38
67	19
68	8
69	171
70	27
71	13
72	177
73	59

n	a(n)
1	0
2	0
3	1
4	1
5	3
6	2
7	3
8	1
9	9
10	3
11	3
12	5
13	5
14	5
15	10
16	11
17	27
18	4
19	9
20	2
21	3
22	11
23	19
24	11
25	4
26	20
27	7
28	51
29	17
30	2
31	5
32	11
33	9
34	10
35	35
36	19
37	11
38	5
39	81
40	13
41	10
42	3
43	35
44	6
45	21
46	29
47	11
48	35
49	27
50	18
51	27
52	7
53	5
54	99
55	7
56	129
57	65
58	35
59	10
60	2
61	22
62	9
63	23
64	19
65	13
66	38
67	19
68	8
69	171
70	27
71	13
72	177
73	59