A210210 - cp's OEIS frontend

A210210 Least number k among 1, ..., n such that pi(p+2*n) - pi(p+n) = pi(p+n) - pi(p) > 0 with p = prime(k), or 0 if such a number k does not exist, where pi(.) is given by A000720.

n	a(n)
1	0
2	1
3	2
4	4
5	2
6	2
7	4
8	1
9	2
10	3
11	3
12	6
13	2
14	9
15	4
16	6
17	7
18	4
19	4
20	6
21	3
22	3
23	3
24	5
25	2
26	6
27	4
28	4
29	4
30	8
31	3
32	4
33	6
34	3
35	3
36	8
37	8
38	6
39	6
40	7
41	7
42	10
43	7
44	6
45	14
46	5
47	5
48	8
49	5
50	4
51	6
52	3
53	3
54	13
55	2
56	14
57	12
58	12
59	12
60	18
61	18
62	18
63	11
64	11
65	11
66	17
67	10
68	11
69	11
70	16
71	16
72	9
73	9
74	16
75	15
76	16
77	8
78	14
79	14
80	14

[0, 1, 2, 4, 2, 2, 4, 1, 2, 3, 3, 6, 2, 9, 4, 6, 7, 4, 4, 6, 3, 3, 3, 5, 2, 6, 4, 4, 4, 8, 3, 4, 6, 3, 3, 8, 8, 6, 6, 7, 7, 10, 7, 6, 14, 5, 5, 8, 5, 4, 6, 3, 3, 13, 2, 14, 12, 12, 12, 18, 18, 18, 11, 11, 11, 17, 10, 11, 11, 16, 16, 9, 9, 16, 15, 16, 8, 14, 14, 14]

cp's OEIS Frontend

A210210 Least number k among 1, ..., n such that pi(p+2*n) - pi(p+n) = pi(p+n) - pi(p) > 0 with p = prime(k), or 0 if such a number k does not exist, where pi(.) is given by A000720.

Table of values

List of values

n	a(n)
1	0
2	1
3	2
4	4
5	2
6	2
7	4
8	1
9	2
10	3
11	3
12	6
13	2
14	9
15	4
16	6
17	7
18	4
19	4
20	6
21	3
22	3
23	3
24	5
25	2
26	6
27	4
28	4
29	4
30	8
31	3
32	4
33	6
34	3
35	3
36	8
37	8
38	6
39	6
40	7
41	7
42	10
43	7
44	6
45	14
46	5
47	5
48	8
49	5
50	4
51	6
52	3
53	3
54	13
55	2
56	14
57	12
58	12
59	12
60	18
61	18
62	18
63	11
64	11
65	11
66	17
67	10
68	11
69	11
70	16
71	16
72	9
73	9
74	16
75	15
76	16
77	8
78	14
79	14
80	14

n	a(n)
1	0
2	1
3	2
4	4
5	2
6	2
7	4
8	1
9	2
10	3
11	3
12	6
13	2
14	9
15	4
16	6
17	7
18	4
19	4
20	6
21	3
22	3
23	3
24	5
25	2
26	6
27	4
28	4
29	4
30	8
31	3
32	4
33	6
34	3
35	3
36	8
37	8
38	6
39	6
40	7
41	7
42	10
43	7
44	6
45	14
46	5
47	5
48	8
49	5
50	4
51	6
52	3
53	3
54	13
55	2
56	14
57	12
58	12
59	12
60	18
61	18
62	18
63	11
64	11
65	11
66	17
67	10
68	11
69	11
70	16
71	16
72	9
73	9
74	16
75	15
76	16
77	8
78	14
79	14
80	14

n	a(n)
1	0
2	1
3	2
4	4
5	2
6	2
7	4
8	1
9	2
10	3
11	3
12	6
13	2
14	9
15	4
16	6
17	7
18	4
19	4
20	6
21	3
22	3
23	3
24	5
25	2
26	6
27	4
28	4
29	4
30	8
31	3
32	4
33	6
34	3
35	3
36	8
37	8
38	6
39	6
40	7
41	7
42	10
43	7
44	6
45	14
46	5
47	5
48	8
49	5
50	4
51	6
52	3
53	3
54	13
55	2
56	14
57	12
58	12
59	12
60	18
61	18
62	18
63	11
64	11
65	11
66	17
67	10
68	11
69	11
70	16
71	16
72	9
73	9
74	16
75	15
76	16
77	8
78	14
79	14
80	14