A144294 - cp's OEIS frontend

A144294 Let k = n-th nonsquare = A000037(n); then a(n) = smallest prime p such that k is not a square mod p.

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

[3, 5, 3, 7, 5, 3, 7, 3, 5, 5, 3, 13, 3, 5, 7, 3, 11, 5, 3, 7, 3, 5, 5, 3, 11, 7, 3, 5, 7, 3, 5, 3, 11, 7, 3, 5, 5, 3, 7, 11, 3, 5, 3, 11, 5, 3, 7, 7, 3, 5, 5, 3, 13, 7, 3, 5, 3, 7, 5, 3, 7, 13, 3, 5, 5, 3, 7, 7, 3, 5, 11, 3, 5, 3, 11, 11, 3, 5, 5, 3, 7, 17, 3, 5, 7, 3, 7, 5, 3, 13]

cp's OEIS Frontend

A144294 Let k = n-th nonsquare = A000037(n); then a(n) = smallest prime p such that k is not a square mod p.

Table of values

List of values

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

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

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