A218121 - cp's OEIS frontend

A218121 Numerator of c(n) defined by c(1)=1, c(2)=5/2 and for n>=3, c(n) is the minimal rational number >= c(n-1) such that there are no primes in the interval (prime(n)/c(n), prime(n+1)/c(n)).

n	a(n)
1	1
2	5
3	5
4	11
5	11
6	17
7	17
8	17
9	29
10	29
11	29
12	41
13	41
14	41
15	41
16	41
17	41
18	67
19	67
20	67
21	67
22	83
23	83
24	83
25	83
26	83
27	83
28	109
29	109
30	127
31	127
32	127
33	127
34	149
35	149
36	149
37	149
38	149
39	149
40	149
41	181
42	181
43	181
44	181
45	181
46	181
47	181
48	181
49	229
50	229
51	229
52	229
53	251
54	251
55	251
56	251
57	251
58	251
59	251
60	251

[1, 5, 5, 11, 11, 17, 17, 17, 29, 29, 29, 41, 41, 41, 41, 41, 41, 67, 67, 67, 67, 83, 83, 83, 83, 83, 83, 109, 109, 127, 127, 127, 127, 149, 149, 149, 149, 149, 149, 149, 181, 181, 181, 181, 181, 181, 181, 181, 229, 229, 229, 229, 251, 251, 251, 251, 251, 251, 251, 251]

cp's OEIS Frontend

A218121 Numerator of c(n) defined by c(1)=1, c(2)=5/2 and for n>=3, c(n) is the minimal rational number >= c(n-1) such that there are no primes in the interval (prime(n)/c(n), prime(n+1)/c(n)).

Table of values

List of values

n	a(n)
1	1
2	5
3	5
4	11
5	11
6	17
7	17
8	17
9	29
10	29
11	29
12	41
13	41
14	41
15	41
16	41
17	41
18	67
19	67
20	67
21	67
22	83
23	83
24	83
25	83
26	83
27	83
28	109
29	109
30	127
31	127
32	127
33	127
34	149
35	149
36	149
37	149
38	149
39	149
40	149
41	181
42	181
43	181
44	181
45	181
46	181
47	181
48	181
49	229
50	229
51	229
52	229
53	251
54	251
55	251
56	251
57	251
58	251
59	251
60	251

n	a(n)
1	1
2	5
3	5
4	11
5	11
6	17
7	17
8	17
9	29
10	29
11	29
12	41
13	41
14	41
15	41
16	41
17	41
18	67
19	67
20	67
21	67
22	83
23	83
24	83
25	83
26	83
27	83
28	109
29	109
30	127
31	127
32	127
33	127
34	149
35	149
36	149
37	149
38	149
39	149
40	149
41	181
42	181
43	181
44	181
45	181
46	181
47	181
48	181
49	229
50	229
51	229
52	229
53	251
54	251
55	251
56	251
57	251
58	251
59	251
60	251

n	a(n)
1	1
2	5
3	5
4	11
5	11
6	17
7	17
8	17
9	29
10	29
11	29
12	41
13	41
14	41
15	41
16	41
17	41
18	67
19	67
20	67
21	67
22	83
23	83
24	83
25	83
26	83
27	83
28	109
29	109
30	127
31	127
32	127
33	127
34	149
35	149
36	149
37	149
38	149
39	149
40	149
41	181
42	181
43	181
44	181
45	181
46	181
47	181
48	181
49	229
50	229
51	229
52	229
53	251
54	251
55	251
56	251
57	251
58	251
59	251
60	251