A328699 - cp's OEIS frontend

A328699 Start with 0, a(n) is the smallest number of iterations: x -> (x^2+1) mod n needed to run into a cycle.

n	a(n)
1	0
2	0
3	2
4	1
5	0
6	2
7	3
8	2
9	2
10	0
11	4
12	2
13	0
14	3
15	2
16	3
17	2
18	2
19	5
20	1
21	3
22	4
23	6
24	2
25	1
26	0
27	2
28	3
29	9
30	2
31	4
32	3
33	4
34	2
35	3
36	2
37	5
38	5
39	2
40	2
41	0
42	3
43	7
44	4
45	2
46	6
47	10
48	3
49	3
50	1
51	2
52	1
53	7
54	2
55	4
56	3
57	5
58	9
59	8
60	2
61	5
62	4
63	3
64	4
65	0
66	4
67	10
68	2
69	6
70	3
71	7
72	2
73	3
74	5
75	2
76	5
77	4
78	2
79	4
80	3
81	2
82	0
83	6
84	3
85	2
86	7
87	9
88	4
89	2
90	2
91	3

[0, 0, 2, 1, 0, 2, 3, 2, 2, 0, 4, 2, 0, 3, 2, 3, 2, 2, 5, 1, 3, 4, 6, 2, 1, 0, 2, 3, 9, 2, 4, 3, 4, 2, 3, 2, 5, 5, 2, 2, 0, 3, 7, 4, 2, 6, 10, 3, 3, 1, 2, 1, 7, 2, 4, 3, 5, 9, 8, 2, 5, 4, 3, 4, 0, 4, 10, 2, 6, 3, 7, 2, 3, 5, 2, 5, 4, 2, 4, 3, 2, 0, 6, 3, 2, 7, 9, 4, 2, 2, 3]

cp's OEIS Frontend

A328699 Start with 0, a(n) is the smallest number of iterations: x -> (x^2+1) mod n needed to run into a cycle.

Table of values

List of values

n	a(n)
1	0
2	0
3	2
4	1
5	0
6	2
7	3
8	2
9	2
10	0
11	4
12	2
13	0
14	3
15	2
16	3
17	2
18	2
19	5
20	1
21	3
22	4
23	6
24	2
25	1
26	0
27	2
28	3
29	9
30	2
31	4
32	3
33	4
34	2
35	3
36	2
37	5
38	5
39	2
40	2
41	0
42	3
43	7
44	4
45	2
46	6
47	10
48	3
49	3
50	1
51	2
52	1
53	7
54	2
55	4
56	3
57	5
58	9
59	8
60	2
61	5
62	4
63	3
64	4
65	0
66	4
67	10
68	2
69	6
70	3
71	7
72	2
73	3
74	5
75	2
76	5
77	4
78	2
79	4
80	3
81	2
82	0
83	6
84	3
85	2
86	7
87	9
88	4
89	2
90	2
91	3

n	a(n)
1	0
2	0
3	2
4	1
5	0
6	2
7	3
8	2
9	2
10	0
11	4
12	2
13	0
14	3
15	2
16	3
17	2
18	2
19	5
20	1
21	3
22	4
23	6
24	2
25	1
26	0
27	2
28	3
29	9
30	2
31	4
32	3
33	4
34	2
35	3
36	2
37	5
38	5
39	2
40	2
41	0
42	3
43	7
44	4
45	2
46	6
47	10
48	3
49	3
50	1
51	2
52	1
53	7
54	2
55	4
56	3
57	5
58	9
59	8
60	2
61	5
62	4
63	3
64	4
65	0
66	4
67	10
68	2
69	6
70	3
71	7
72	2
73	3
74	5
75	2
76	5
77	4
78	2
79	4
80	3
81	2
82	0
83	6
84	3
85	2
86	7
87	9
88	4
89	2
90	2
91	3

n	a(n)
1	0
2	0
3	2
4	1
5	0
6	2
7	3
8	2
9	2
10	0
11	4
12	2
13	0
14	3
15	2
16	3
17	2
18	2
19	5
20	1
21	3
22	4
23	6
24	2
25	1
26	0
27	2
28	3
29	9
30	2
31	4
32	3
33	4
34	2
35	3
36	2
37	5
38	5
39	2
40	2
41	0
42	3
43	7
44	4
45	2
46	6
47	10
48	3
49	3
50	1
51	2
52	1
53	7
54	2
55	4
56	3
57	5
58	9
59	8
60	2
61	5
62	4
63	3
64	4
65	0
66	4
67	10
68	2
69	6
70	3
71	7
72	2
73	3
74	5
75	2
76	5
77	4
78	2
79	4
80	3
81	2
82	0
83	6
84	3
85	2
86	7
87	9
88	4
89	2
90	2
91	3