A300845 - cp's OEIS frontend

A300845 a(n) is the smallest prime q such that q^2 + q*p + p^2 is a prime number where p is n-th prime, or 0 if no such q exists.

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

[3, 2, 7, 2, 3, 2, 3, 11, 3, 3, 3, 2, 7, 3, 19, 7, 7, 2, 11, 13, 2, 5, 37, 19, 11, 3, 5, 3, 5, 13, 3, 7, 7, 2, 7, 5, 2, 3, 37, 7, 3, 29, 13, 5, 3, 11, 17, 29, 37, 2, 13, 3, 2, 67, 19, 7, 7, 5, 3, 3, 29, 43, 23, 7, 5, 3, 3, 5, 7, 2, 43, 3, 2, 17, 17, 7, 19, 2, 13, 23, 43, 3, 7, 2, 2, 7, 7, 2, 7]

cp's OEIS Frontend

A300845 a(n) is the smallest prime q such that q^2 + q*p + p^2 is a prime number where p is n-th prime, or 0 if no such q exists.

Table of values

List of values

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

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

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