A371694 - cp's OEIS frontend

A371694 a(1) = 2; a(n+1) is the larger prime between nextprime(a(n)) and prevprime(a(n)+n-m+1), where m is the number of primes < a(n) that are missing from the sequence.

n	a(n)
1	2
2	3
3	5
4	7
5	11
6	13
7	19
8	23
9	29
10	37
11	43
12	47
13	53
14	61
15	71
16	79
17	89
18	97
19	107
20	113
21	127
22	137
23	139
24	151
25	163
26	173
27	181
28	193
29	199
30	211
31	223
32	233
33	241
34	251
35	263
36	277
37	283
38	293
39	307
40	317
41	331
42	337
43	353
44	367
45	379
46	389
47	401
48	409
49	421
50	433
51	449
52	463
53	467
54	479
55	491
56	503

[2, 3, 5, 7, 11, 13, 19, 23, 29, 37, 43, 47, 53, 61, 71, 79, 89, 97, 107, 113, 127, 137, 139, 151, 163, 173, 181, 193, 199, 211, 223, 233, 241, 251, 263, 277, 283, 293, 307, 317, 331, 337, 353, 367, 379, 389, 401, 409, 421, 433, 449, 463, 467, 479, 491, 503]

cp's OEIS Frontend

A371694 a(1) = 2; a(n+1) is the larger prime between nextprime(a(n)) and prevprime(a(n)+n-m+1), where m is the number of primes < a(n) that are missing from the sequence.

Table of values

List of values

n	a(n)
1	2
2	3
3	5
4	7
5	11
6	13
7	19
8	23
9	29
10	37
11	43
12	47
13	53
14	61
15	71
16	79
17	89
18	97
19	107
20	113
21	127
22	137
23	139
24	151
25	163
26	173
27	181
28	193
29	199
30	211
31	223
32	233
33	241
34	251
35	263
36	277
37	283
38	293
39	307
40	317
41	331
42	337
43	353
44	367
45	379
46	389
47	401
48	409
49	421
50	433
51	449
52	463
53	467
54	479
55	491
56	503

n	a(n)
1	2
2	3
3	5
4	7
5	11
6	13
7	19
8	23
9	29
10	37
11	43
12	47
13	53
14	61
15	71
16	79
17	89
18	97
19	107
20	113
21	127
22	137
23	139
24	151
25	163
26	173
27	181
28	193
29	199
30	211
31	223
32	233
33	241
34	251
35	263
36	277
37	283
38	293
39	307
40	317
41	331
42	337
43	353
44	367
45	379
46	389
47	401
48	409
49	421
50	433
51	449
52	463
53	467
54	479
55	491
56	503

n	a(n)
1	2
2	3
3	5
4	7
5	11
6	13
7	19
8	23
9	29
10	37
11	43
12	47
13	53
14	61
15	71
16	79
17	89
18	97
19	107
20	113
21	127
22	137
23	139
24	151
25	163
26	173
27	181
28	193
29	199
30	211
31	223
32	233
33	241
34	251
35	263
36	277
37	283
38	293
39	307
40	317
41	331
42	337
43	353
44	367
45	379
46	389
47	401
48	409
49	421
50	433
51	449
52	463
53	467
54	479
55	491
56	503