A178153 - cp's OEIS frontend

A178153 Difference between the numbers of quadratic residues (mod p) less than p/2 and greater than p/2, where p=prime(n).

n	a(n)
2	1
3	0
4	1
5	3
6	0
7	0
8	3
9	3
10	0
11	3
12	0
13	0
14	3
15	5
16	0
17	9
18	0
19	3
20	7
21	0
22	5
23	9
24	0
25	0
26	0
27	5
28	9
29	0
30	0
31	5
32	15
33	0
34	9
35	0
36	7
37	0
38	3
39	11
40	0
41	15
42	0
43	13
44	0
45	0
46	9
47	9
48	7
49	15
50	0
51	0
52	15
53	0
54	21
55	0
56	13
57	0
58	11
59	0
60	0
61	9
62	0
63	9
64	19
65	0
66	0
67	9
68	0
69	15
70	0
71	0
72	19
73	9
74	0
75	9
76	17
77	0
78	0
79	0
80	0
81	27
82	0
83	21
84	0
85	15
86	15
87	0
88	0
89	0
90	7
91	21
92	25
93	7
94	27
95	9
96	21
97	0

[1, 0, 1, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 5, 0, 9, 0, 3, 7, 0, 5, 9, 0, 0, 0, 5, 9, 0, 0, 5, 15, 0, 9, 0, 7, 0, 3, 11, 0, 15, 0, 13, 0, 0, 9, 9, 7, 15, 0, 0, 15, 0, 21, 0, 13, 0, 11, 0, 0, 9, 0, 9, 19, 0, 0, 9, 0, 15, 0, 0, 19, 9, 0, 9, 17, 0, 0, 0, 0, 27, 0, 21, 0, 15, 15, 0, 0, 0, 7, 21, 25, 7, 27, 9, 21, 0]

cp's OEIS Frontend

A178153 Difference between the numbers of quadratic residues (mod p) less than p/2 and greater than p/2, where p=prime(n).

Table of values

List of values

n	a(n)
2	1
3	0
4	1
5	3
6	0
7	0
8	3
9	3
10	0
11	3
12	0
13	0
14	3
15	5
16	0
17	9
18	0
19	3
20	7
21	0
22	5
23	9
24	0
25	0
26	0
27	5
28	9
29	0
30	0
31	5
32	15
33	0
34	9
35	0
36	7
37	0
38	3
39	11
40	0
41	15
42	0
43	13
44	0
45	0
46	9
47	9
48	7
49	15
50	0
51	0
52	15
53	0
54	21
55	0
56	13
57	0
58	11
59	0
60	0
61	9
62	0
63	9
64	19
65	0
66	0
67	9
68	0
69	15
70	0
71	0
72	19
73	9
74	0
75	9
76	17
77	0
78	0
79	0
80	0
81	27
82	0
83	21
84	0
85	15
86	15
87	0
88	0
89	0
90	7
91	21
92	25
93	7
94	27
95	9
96	21
97	0

n	a(n)
2	1
3	0
4	1
5	3
6	0
7	0
8	3
9	3
10	0
11	3
12	0
13	0
14	3
15	5
16	0
17	9
18	0
19	3
20	7
21	0
22	5
23	9
24	0
25	0
26	0
27	5
28	9
29	0
30	0
31	5
32	15
33	0
34	9
35	0
36	7
37	0
38	3
39	11
40	0
41	15
42	0
43	13
44	0
45	0
46	9
47	9
48	7
49	15
50	0
51	0
52	15
53	0
54	21
55	0
56	13
57	0
58	11
59	0
60	0
61	9
62	0
63	9
64	19
65	0
66	0
67	9
68	0
69	15
70	0
71	0
72	19
73	9
74	0
75	9
76	17
77	0
78	0
79	0
80	0
81	27
82	0
83	21
84	0
85	15
86	15
87	0
88	0
89	0
90	7
91	21
92	25
93	7
94	27
95	9
96	21
97	0

n	a(n)
2	1
3	0
4	1
5	3
6	0
7	0
8	3
9	3
10	0
11	3
12	0
13	0
14	3
15	5
16	0
17	9
18	0
19	3
20	7
21	0
22	5
23	9
24	0
25	0
26	0
27	5
28	9
29	0
30	0
31	5
32	15
33	0
34	9
35	0
36	7
37	0
38	3
39	11
40	0
41	15
42	0
43	13
44	0
45	0
46	9
47	9
48	7
49	15
50	0
51	0
52	15
53	0
54	21
55	0
56	13
57	0
58	11
59	0
60	0
61	9
62	0
63	9
64	19
65	0
66	0
67	9
68	0
69	15
70	0
71	0
72	19
73	9
74	0
75	9
76	17
77	0
78	0
79	0
80	0
81	27
82	0
83	21
84	0
85	15
86	15
87	0
88	0
89	0
90	7
91	21
92	25
93	7
94	27
95	9
96	21
97	0