A358200 - cp's OEIS frontend

A358200 Frequency ranking position of the ratio r(n) between consecutive prime gaps, among all previous ratios {r(i) : 2 < i < n, r(i) = (prime(i) - prime(i-1))/(prime(i-1) - prime(i-2))}. If the ratio r(n) is not among previous ratios, then a(n)=n.

n	a(n)
4	4
5	2
6	6
7	1
8	2
9	1
10	10
11	11
12	12
13	13
14	2
15	1
16	6
17	6
18	5
19	7
20	7
21	2
22	7
23	5
24	7
25	25
26	2
27	1
28	2
29	1
30	2
31	31
32	32
33	4
34	6
35	35
36	36
37	6
38	7
39	6
40	4
41	7
42	7
43	12
44	9
45	2
46	2
47	47
48	6
49	5
50	1
51	2
52	5
53	4
54	9
55	55
56	5
57	4
58	4
59	7
60	7
61	1
62	8
63	63
64	10
65	1
66	2
67	14
68	68
69	69
70	9
71	2
72	5
73	14
74	74
75	4
76	6
77	5
78	11
79	1
80	2
81	81
82	9
83	9
84	9
85	8
86	6
87	4
88	10
89	1
90	1
91	2
92	7
93	6
94	1
95	2
96	1
97	3
98	2
99	99
100	100
101	6
102	19
103	16

[4, 2, 6, 1, 2, 1, 10, 11, 12, 13, 2, 1, 6, 6, 5, 7, 7, 2, 7, 5, 7, 25, 2, 1, 2, 1, 2, 31, 32, 4, 6, 35, 36, 6, 7, 6, 4, 7, 7, 12, 9, 2, 2, 47, 6, 5, 1, 2, 5, 4, 9, 55, 5, 4, 4, 7, 7, 1, 8, 63, 10, 1, 2, 14, 68, 69, 9, 2, 5, 14, 74, 4, 6, 5, 11, 1, 2, 81, 9, 9, 9, 8, 6, 4, 10, 1, 1, 2, 7, 6, 1, 2, 1, 3, 2, 99, 100, 6, 19, 16]

cp's OEIS Frontend

A358200 Frequency ranking position of the ratio r(n) between consecutive prime gaps, among all previous ratios {r(i) : 2 < i < n, r(i) = (prime(i) - prime(i-1))/(prime(i-1) - prime(i-2))}. If the ratio r(n) is not among previous ratios, then a(n)=n.

Table of values

List of values

n	a(n)
4	4
5	2
6	6
7	1
8	2
9	1
10	10
11	11
12	12
13	13
14	2
15	1
16	6
17	6
18	5
19	7
20	7
21	2
22	7
23	5
24	7
25	25
26	2
27	1
28	2
29	1
30	2
31	31
32	32
33	4
34	6
35	35
36	36
37	6
38	7
39	6
40	4
41	7
42	7
43	12
44	9
45	2
46	2
47	47
48	6
49	5
50	1
51	2
52	5
53	4
54	9
55	55
56	5
57	4
58	4
59	7
60	7
61	1
62	8
63	63
64	10
65	1
66	2
67	14
68	68
69	69
70	9
71	2
72	5
73	14
74	74
75	4
76	6
77	5
78	11
79	1
80	2
81	81
82	9
83	9
84	9
85	8
86	6
87	4
88	10
89	1
90	1
91	2
92	7
93	6
94	1
95	2
96	1
97	3
98	2
99	99
100	100
101	6
102	19
103	16

n	a(n)
4	4
5	2
6	6
7	1
8	2
9	1
10	10
11	11
12	12
13	13
14	2
15	1
16	6
17	6
18	5
19	7
20	7
21	2
22	7
23	5
24	7
25	25
26	2
27	1
28	2
29	1
30	2
31	31
32	32
33	4
34	6
35	35
36	36
37	6
38	7
39	6
40	4
41	7
42	7
43	12
44	9
45	2
46	2
47	47
48	6
49	5
50	1
51	2
52	5
53	4
54	9
55	55
56	5
57	4
58	4
59	7
60	7
61	1
62	8
63	63
64	10
65	1
66	2
67	14
68	68
69	69
70	9
71	2
72	5
73	14
74	74
75	4
76	6
77	5
78	11
79	1
80	2
81	81
82	9
83	9
84	9
85	8
86	6
87	4
88	10
89	1
90	1
91	2
92	7
93	6
94	1
95	2
96	1
97	3
98	2
99	99
100	100
101	6
102	19
103	16

n	a(n)
4	4
5	2
6	6
7	1
8	2
9	1
10	10
11	11
12	12
13	13
14	2
15	1
16	6
17	6
18	5
19	7
20	7
21	2
22	7
23	5
24	7
25	25
26	2
27	1
28	2
29	1
30	2
31	31
32	32
33	4
34	6
35	35
36	36
37	6
38	7
39	6
40	4
41	7
42	7
43	12
44	9
45	2
46	2
47	47
48	6
49	5
50	1
51	2
52	5
53	4
54	9
55	55
56	5
57	4
58	4
59	7
60	7
61	1
62	8
63	63
64	10
65	1
66	2
67	14
68	68
69	69
70	9
71	2
72	5
73	14
74	74
75	4
76	6
77	5
78	11
79	1
80	2
81	81
82	9
83	9
84	9
85	8
86	6
87	4
88	10
89	1
90	1
91	2
92	7
93	6
94	1
95	2
96	1
97	3
98	2
99	99
100	100
101	6
102	19
103	16