A348168 - cp's OEIS frontend

A348168 Segment the list of prime numbers into sublists L_1, L_2, ... with L_1 = {2} and L_n = {p_1, p_2, ..., p_a(n)}, where a(n) is the largest m such that for 0 < i < m, p_1 - prevprime(p_1) > p_2 - p_1 >= p_{i+1} - p_i.

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

[1, 1, 1, 1, 2, 2, 1, 2, 4, 1, 2, 3, 2, 1, 6, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 4, 2, 8, 1, 4, 2, 2, 1, 1, 5, 2, 1, 2, 2, 2, 1, 4, 6, 2, 2, 5, 8, 7, 2, 1, 1, 2, 10, 2, 2, 2, 2, 1, 4, 4, 2, 1, 5, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 4, 1, 1, 3, 2, 2, 3, 1, 2, 1, 2, 1, 2]

cp's OEIS Frontend

A348168 Segment the list of prime numbers into sublists L_1, L_2, ... with L_1 = {2} and L_n = {p_1, p_2, ..., p_a(n)}, where a(n) is the largest m such that for 0 < i < m, p_1 - prevprime(p_1) > p_2 - p_1 >= p_{i+1} - p_i.

Table of values

List of values

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

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

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