A371497 - cp's OEIS frontend

A371497 Irregular triangle read by rows: n-th row gives congruence classes s such that the n-th prime q is a quadratic residue modulo an odd prime p if and only if p = plus or minus s for some s (mod m), where m = q if q is of the form 4k + 1, else m = 4q.

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

[1, 1, 1, 1, 3, 9, 1, 5, 7, 9, 19, 1, 3, 4, 1, 2, 4, 8, 1, 3, 5, 9, 15, 17, 25, 27, 31, 1, 7, 9, 11, 13, 15, 19, 25, 29, 41, 43, 1, 4, 5, 6, 7, 9, 13, 1, 3, 5, 9, 11, 15, 23, 25, 27, 33, 41, 43, 45, 49, 55, 1, 3, 4, 7, 9, 10, 11, 12, 16, 1, 2, 4, 5, 8, 9, 10, 16, 18, 20, 1, 3, 7, 9, 13, 17]

cp's OEIS Frontend

A371497 Irregular triangle read by rows: n-th row gives congruence classes s such that the n-th prime q is a quadratic residue modulo an odd prime p if and only if p = plus or minus s for some s (mod m), where m = q if q is of the form 4k + 1, else m = 4q.

Table of values

List of values

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

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

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