A276125 - cp's OEIS frontend

A276125 a(n) = maximum eventual period of z := z^2 + c (mod n), for Gaussian integers z, c.

n	a(n)
1	1
2	2
3	3
4	2
5	6
6	6
7	12
8	2
9	24
10	6
11	30
12	6
13	30
14	22
15	6
16	2
17	30
18	24
19	90
20	6
21	33
22	42
23	59
24	6
25	40
26	30
27	72
28	22
29	77
30	6
31	73
32	2
33	66
34	30
35	66
36	24
37	72
38	90
39	60
40	6
41	99
42	66
43	122
44	42
45	48
46	118
47	144
48	6
49	432
50	40
51	60
52	30
53	132
54	72
55	66
56	22
57	129
58	154
59	870
60	6
61	210
62	146
63	264
64	2
65	60
66	66
67	224
68	30

[1, 2, 3, 2, 6, 6, 12, 2, 24, 6, 30, 6, 30, 22, 6, 2, 30, 24, 90, 6, 33, 42, 59, 6, 40, 30, 72, 22, 77, 6, 73, 2, 66, 30, 66, 24, 72, 90, 60, 6, 99, 66, 122, 42, 48, 118, 144, 6, 432, 40, 60, 30, 132, 72, 66, 22, 129, 154, 870, 6, 210, 146, 264, 2, 60, 66, 224, 30]

cp's OEIS Frontend

A276125 a(n) = maximum eventual period of z := z^2 + c (mod n), for Gaussian integers z, c.

Table of values

List of values

n	a(n)
1	1
2	2
3	3
4	2
5	6
6	6
7	12
8	2
9	24
10	6
11	30
12	6
13	30
14	22
15	6
16	2
17	30
18	24
19	90
20	6
21	33
22	42
23	59
24	6
25	40
26	30
27	72
28	22
29	77
30	6
31	73
32	2
33	66
34	30
35	66
36	24
37	72
38	90
39	60
40	6
41	99
42	66
43	122
44	42
45	48
46	118
47	144
48	6
49	432
50	40
51	60
52	30
53	132
54	72
55	66
56	22
57	129
58	154
59	870
60	6
61	210
62	146
63	264
64	2
65	60
66	66
67	224
68	30

n	a(n)
1	1
2	2
3	3
4	2
5	6
6	6
7	12
8	2
9	24
10	6
11	30
12	6
13	30
14	22
15	6
16	2
17	30
18	24
19	90
20	6
21	33
22	42
23	59
24	6
25	40
26	30
27	72
28	22
29	77
30	6
31	73
32	2
33	66
34	30
35	66
36	24
37	72
38	90
39	60
40	6
41	99
42	66
43	122
44	42
45	48
46	118
47	144
48	6
49	432
50	40
51	60
52	30
53	132
54	72
55	66
56	22
57	129
58	154
59	870
60	6
61	210
62	146
63	264
64	2
65	60
66	66
67	224
68	30

n	a(n)
1	1
2	2
3	3
4	2
5	6
6	6
7	12
8	2
9	24
10	6
11	30
12	6
13	30
14	22
15	6
16	2
17	30
18	24
19	90
20	6
21	33
22	42
23	59
24	6
25	40
26	30
27	72
28	22
29	77
30	6
31	73
32	2
33	66
34	30
35	66
36	24
37	72
38	90
39	60
40	6
41	99
42	66
43	122
44	42
45	48
46	118
47	144
48	6
49	432
50	40
51	60
52	30
53	132
54	72
55	66
56	22
57	129
58	154
59	870
60	6
61	210
62	146
63	264
64	2
65	60
66	66
67	224
68	30