A092419 - cp's OEIS frontend

A092419 Let k = n-th nonsquare = A000037(n); then a(n) = smallest prime p such that the Kronecker-Jacobi symbol K(k,p) = -1.

n	a(n)
1	3
2	2
3	2
4	7
5	5
6	3
7	7
8	2
9	5
10	2
11	3
12	13
13	3
14	5
15	2
16	3
17	2
18	5
19	3
20	7
21	3
22	2
23	5
24	2
25	11
26	7
27	3
28	5
29	7
30	2
31	2
32	3
33	11
34	7
35	3
36	5
37	2
38	3
39	2
40	11
41	3
42	5
43	3
44	2
45	5
46	2
47	7
48	7
49	3
50	5
51	5
52	2
53	13
54	2
55	3
56	5
57	3
58	7
59	2
60	3
61	2
62	13
63	3
64	5
65	5
66	3
67	2
68	7
69	2
70	5
71	11
72	3
73	5
74	2
75	11
76	2
77	3
78	5
79	5
80	3
81	7
82	2
83	3
84	2
85	7
86	3
87	7
88	5
89	3
90	2
91	2
92	5
93	5
94	3
95	11
96	11
97	2
98	5
99	2
100	3
101	7

[3, 2, 2, 7, 5, 3, 7, 2, 5, 2, 3, 13, 3, 5, 2, 3, 2, 5, 3, 7, 3, 2, 5, 2, 11, 7, 3, 5, 7, 2, 2, 3, 11, 7, 3, 5, 2, 3, 2, 11, 3, 5, 3, 2, 5, 2, 7, 7, 3, 5, 5, 2, 13, 2, 3, 5, 3, 7, 2, 3, 2, 13, 3, 5, 5, 3, 2, 7, 2, 5, 11, 3, 5, 2, 11, 2, 3, 5, 5, 3, 7, 2, 3, 2, 7, 3, 7, 5, 3, 2, 2, 5, 5, 3, 11, 11, 2, 5, 2, 3, 7]

cp's OEIS Frontend

A092419 Let k = n-th nonsquare = A000037(n); then a(n) = smallest prime p such that the Kronecker-Jacobi symbol K(k,p) = -1.

Table of values

List of values

n	a(n)
1	3
2	2
3	2
4	7
5	5
6	3
7	7
8	2
9	5
10	2
11	3
12	13
13	3
14	5
15	2
16	3
17	2
18	5
19	3
20	7
21	3
22	2
23	5
24	2
25	11
26	7
27	3
28	5
29	7
30	2
31	2
32	3
33	11
34	7
35	3
36	5
37	2
38	3
39	2
40	11
41	3
42	5
43	3
44	2
45	5
46	2
47	7
48	7
49	3
50	5
51	5
52	2
53	13
54	2
55	3
56	5
57	3
58	7
59	2
60	3
61	2
62	13
63	3
64	5
65	5
66	3
67	2
68	7
69	2
70	5
71	11
72	3
73	5
74	2
75	11
76	2
77	3
78	5
79	5
80	3
81	7
82	2
83	3
84	2
85	7
86	3
87	7
88	5
89	3
90	2
91	2
92	5
93	5
94	3
95	11
96	11
97	2
98	5
99	2
100	3
101	7

n	a(n)
1	3
2	2
3	2
4	7
5	5
6	3
7	7
8	2
9	5
10	2
11	3
12	13
13	3
14	5
15	2
16	3
17	2
18	5
19	3
20	7
21	3
22	2
23	5
24	2
25	11
26	7
27	3
28	5
29	7
30	2
31	2
32	3
33	11
34	7
35	3
36	5
37	2
38	3
39	2
40	11
41	3
42	5
43	3
44	2
45	5
46	2
47	7
48	7
49	3
50	5
51	5
52	2
53	13
54	2
55	3
56	5
57	3
58	7
59	2
60	3
61	2
62	13
63	3
64	5
65	5
66	3
67	2
68	7
69	2
70	5
71	11
72	3
73	5
74	2
75	11
76	2
77	3
78	5
79	5
80	3
81	7
82	2
83	3
84	2
85	7
86	3
87	7
88	5
89	3
90	2
91	2
92	5
93	5
94	3
95	11
96	11
97	2
98	5
99	2
100	3
101	7

n	a(n)
1	3
2	2
3	2
4	7
5	5
6	3
7	7
8	2
9	5
10	2
11	3
12	13
13	3
14	5
15	2
16	3
17	2
18	5
19	3
20	7
21	3
22	2
23	5
24	2
25	11
26	7
27	3
28	5
29	7
30	2
31	2
32	3
33	11
34	7
35	3
36	5
37	2
38	3
39	2
40	11
41	3
42	5
43	3
44	2
45	5
46	2
47	7
48	7
49	3
50	5
51	5
52	2
53	13
54	2
55	3
56	5
57	3
58	7
59	2
60	3
61	2
62	13
63	3
64	5
65	5
66	3
67	2
68	7
69	2
70	5
71	11
72	3
73	5
74	2
75	11
76	2
77	3
78	5
79	5
80	3
81	7
82	2
83	3
84	2
85	7
86	3
87	7
88	5
89	3
90	2
91	2
92	5
93	5
94	3
95	11
96	11
97	2
98	5
99	2
100	3
101	7