A308261 - cp's OEIS frontend

A308261 For any integer n, let d(n) be the smallest k > 0 such that at least one of n-k or n+k is a prime number; we build an undirected graph G on top of the prime numbers as follows: two consecutive prime numbers p and q are connected iff at least one of d(p) or d(q) equals q-p; a(n) is the number of terms in the n-th connected component of G (ordered by least element).

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

[4, 2, 3, 2, 7, 3, 3, 3, 3, 2, 2, 8, 2, 7, 2, 5, 4, 4, 2, 4, 5, 3, 2, 2, 3, 4, 3, 3, 2, 2, 5, 8, 7, 4, 2, 5, 3, 2, 2, 2, 2, 3, 4, 4, 3, 5, 4, 2, 2, 2, 3, 2, 3, 6, 3, 2, 2, 4, 6, 2, 3, 2, 4, 3, 4, 2, 5, 4, 3, 7, 4, 2, 2, 2, 3, 4, 4, 4, 2, 5, 4, 2, 2, 5, 3, 3, 2]

cp's OEIS Frontend

Table of values

List of values

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

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

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