A209877 - cp's OEIS frontend

A209877 a(n) = A209874(n)/2: Least m > 0 such that 4*m^2 = -1 modulo the Pythagorean prime A002144(n).

n	a(n)
1	1
2	4
3	2
4	6
5	3
6	16
7	15
8	25
9	23
10	17
11	11
12	5
13	38
14	49
15	50
16	22
17	14
18	40
19	81
20	56
21	7
22	61
23	72
24	32
25	8
26	41
27	30
28	114
29	69
30	144
31	57
32	74
33	68
34	21
35	52
36	137
37	167
38	10
39	133
40	196
41	127
42	191
43	174
44	24
45	104
46	143
47	26
48	59
49	43
50	12
51	258
52	238
53	289
54	97
55	77
56	252
57	53
58	29
59	13
60	283
61	48
62	190
63	335
64	361
65	31
66	228
67	291
68	159
69	263
70	123
71	260
72	325
73	363
74	247
75	162

[1, 4, 2, 6, 3, 16, 15, 25, 23, 17, 11, 5, 38, 49, 50, 22, 14, 40, 81, 56, 7, 61, 72, 32, 8, 41, 30, 114, 69, 144, 57, 74, 68, 21, 52, 137, 167, 10, 133, 196, 127, 191, 174, 24, 104, 143, 26, 59, 43, 12, 258, 238, 289, 97, 77, 252, 53, 29, 13, 283, 48, 190, 335, 361, 31, 228, 291, 159, 263, 123, 260, 325, 363, 247, 162]

cp's OEIS Frontend

A209877 a(n) = A209874(n)/2: Least m > 0 such that 4*m^2 = -1 modulo the Pythagorean prime A002144(n).

Table of values

List of values

n	a(n)
1	1
2	4
3	2
4	6
5	3
6	16
7	15
8	25
9	23
10	17
11	11
12	5
13	38
14	49
15	50
16	22
17	14
18	40
19	81
20	56
21	7
22	61
23	72
24	32
25	8
26	41
27	30
28	114
29	69
30	144
31	57
32	74
33	68
34	21
35	52
36	137
37	167
38	10
39	133
40	196
41	127
42	191
43	174
44	24
45	104
46	143
47	26
48	59
49	43
50	12
51	258
52	238
53	289
54	97
55	77
56	252
57	53
58	29
59	13
60	283
61	48
62	190
63	335
64	361
65	31
66	228
67	291
68	159
69	263
70	123
71	260
72	325
73	363
74	247
75	162

n	a(n)
1	1
2	4
3	2
4	6
5	3
6	16
7	15
8	25
9	23
10	17
11	11
12	5
13	38
14	49
15	50
16	22
17	14
18	40
19	81
20	56
21	7
22	61
23	72
24	32
25	8
26	41
27	30
28	114
29	69
30	144
31	57
32	74
33	68
34	21
35	52
36	137
37	167
38	10
39	133
40	196
41	127
42	191
43	174
44	24
45	104
46	143
47	26
48	59
49	43
50	12
51	258
52	238
53	289
54	97
55	77
56	252
57	53
58	29
59	13
60	283
61	48
62	190
63	335
64	361
65	31
66	228
67	291
68	159
69	263
70	123
71	260
72	325
73	363
74	247
75	162

n	a(n)
1	1
2	4
3	2
4	6
5	3
6	16
7	15
8	25
9	23
10	17
11	11
12	5
13	38
14	49
15	50
16	22
17	14
18	40
19	81
20	56
21	7
22	61
23	72
24	32
25	8
26	41
27	30
28	114
29	69
30	144
31	57
32	74
33	68
34	21
35	52
36	137
37	167
38	10
39	133
40	196
41	127
42	191
43	174
44	24
45	104
46	143
47	26
48	59
49	43
50	12
51	258
52	238
53	289
54	97
55	77
56	252
57	53
58	29
59	13
60	283
61	48
62	190
63	335
64	361
65	31
66	228
67	291
68	159
69	263
70	123
71	260
72	325
73	363
74	247
75	162