A020497 - cp's OEIS frontend

A020497 Conjecturally, this is the minimal y such that n primes occur infinitely often among (x+1, ..., x+y), that is, pi(x+y) - pi(x) >= n for infinitely many x.

n	a(n)
1	1
2	3
3	7
4	9
5	13
6	17
7	21
8	27
9	31
10	33
11	37
12	43
13	49
14	51
15	57
16	61
17	67
18	71
19	77
20	81
21	85
22	91
23	95
24	101
25	111
26	115
27	121
28	127
29	131
30	137
31	141
32	147
33	153
34	157
35	159
36	163
37	169
38	177
39	183
40	187
41	189
42	197
43	201
44	211
45	213
46	217
47	227
48	237
49	241
50	247
51	253
52	255
53	265
54	271
55	273
56	279
57	283
58	289
59	301
60	305

[1, 3, 7, 9, 13, 17, 21, 27, 31, 33, 37, 43, 49, 51, 57, 61, 67, 71, 77, 81, 85, 91, 95, 101, 111, 115, 121, 127, 131, 137, 141, 147, 153, 157, 159, 163, 169, 177, 183, 187, 189, 197, 201, 211, 213, 217, 227, 237, 241, 247, 253, 255, 265, 271, 273, 279, 283, 289, 301, 305]

cp's OEIS Frontend

A020497 Conjecturally, this is the minimal y such that n primes occur infinitely often among (x+1, ..., x+y), that is, pi(x+y) - pi(x) >= n for infinitely many x.

Table of values

List of values

n	a(n)
1	1
2	3
3	7
4	9
5	13
6	17
7	21
8	27
9	31
10	33
11	37
12	43
13	49
14	51
15	57
16	61
17	67
18	71
19	77
20	81
21	85
22	91
23	95
24	101
25	111
26	115
27	121
28	127
29	131
30	137
31	141
32	147
33	153
34	157
35	159
36	163
37	169
38	177
39	183
40	187
41	189
42	197
43	201
44	211
45	213
46	217
47	227
48	237
49	241
50	247
51	253
52	255
53	265
54	271
55	273
56	279
57	283
58	289
59	301
60	305

n	a(n)
1	1
2	3
3	7
4	9
5	13
6	17
7	21
8	27
9	31
10	33
11	37
12	43
13	49
14	51
15	57
16	61
17	67
18	71
19	77
20	81
21	85
22	91
23	95
24	101
25	111
26	115
27	121
28	127
29	131
30	137
31	141
32	147
33	153
34	157
35	159
36	163
37	169
38	177
39	183
40	187
41	189
42	197
43	201
44	211
45	213
46	217
47	227
48	237
49	241
50	247
51	253
52	255
53	265
54	271
55	273
56	279
57	283
58	289
59	301
60	305

n	a(n)
1	1
2	3
3	7
4	9
5	13
6	17
7	21
8	27
9	31
10	33
11	37
12	43
13	49
14	51
15	57
16	61
17	67
18	71
19	77
20	81
21	85
22	91
23	95
24	101
25	111
26	115
27	121
28	127
29	131
30	137
31	141
32	147
33	153
34	157
35	159
36	163
37	169
38	177
39	183
40	187
41	189
42	197
43	201
44	211
45	213
46	217
47	227
48	237
49	241
50	247
51	253
52	255
53	265
54	271
55	273
56	279
57	283
58	289
59	301
60	305