A211204 - cp's OEIS frontend

A211204 a(1) = 2; for n > 1, a(n) > a(n-1) is the smallest prime for which the set {a(1), a(2), ..., a(n)} lacks at least one residue modulo every odd prime less than or equal to a(n).

n	a(n)
1	2
2	3
3	5
4	11
5	17
6	23
7	41
8	47
9	53
10	71
11	83
12	101
13	107
14	113
15	131
16	137
17	167
18	173
19	191
20	197
21	233
22	251
23	257
24	263
25	311
26	317
27	347
28	353
29	401
30	431
31	443
32	461
33	467
34	503
35	521
36	563
37	593
38	641
39	647
40	653
41	677
42	683
43	701
44	743
45	761
46	773
47	797
48	827
49	857
50	863
51	881
52	911
53	941
54	947
55	971

[2, 3, 5, 11, 17, 23, 41, 47, 53, 71, 83, 101, 107, 113, 131, 137, 167, 173, 191, 197, 233, 251, 257, 263, 311, 317, 347, 353, 401, 431, 443, 461, 467, 503, 521, 563, 593, 641, 647, 653, 677, 683, 701, 743, 761, 773, 797, 827, 857, 863, 881, 911, 941, 947, 971]

cp's OEIS Frontend

A211204 a(1) = 2; for n > 1, a(n) > a(n-1) is the smallest prime for which the set {a(1), a(2), ..., a(n)} lacks at least one residue modulo every odd prime less than or equal to a(n).

Table of values

List of values

n	a(n)
1	2
2	3
3	5
4	11
5	17
6	23
7	41
8	47
9	53
10	71
11	83
12	101
13	107
14	113
15	131
16	137
17	167
18	173
19	191
20	197
21	233
22	251
23	257
24	263
25	311
26	317
27	347
28	353
29	401
30	431
31	443
32	461
33	467
34	503
35	521
36	563
37	593
38	641
39	647
40	653
41	677
42	683
43	701
44	743
45	761
46	773
47	797
48	827
49	857
50	863
51	881
52	911
53	941
54	947
55	971

n	a(n)
1	2
2	3
3	5
4	11
5	17
6	23
7	41
8	47
9	53
10	71
11	83
12	101
13	107
14	113
15	131
16	137
17	167
18	173
19	191
20	197
21	233
22	251
23	257
24	263
25	311
26	317
27	347
28	353
29	401
30	431
31	443
32	461
33	467
34	503
35	521
36	563
37	593
38	641
39	647
40	653
41	677
42	683
43	701
44	743
45	761
46	773
47	797
48	827
49	857
50	863
51	881
52	911
53	941
54	947
55	971

n	a(n)
1	2
2	3
3	5
4	11
5	17
6	23
7	41
8	47
9	53
10	71
11	83
12	101
13	107
14	113
15	131
16	137
17	167
18	173
19	191
20	197
21	233
22	251
23	257
24	263
25	311
26	317
27	347
28	353
29	401
30	431
31	443
32	461
33	467
34	503
35	521
36	563
37	593
38	641
39	647
40	653
41	677
42	683
43	701
44	743
45	761
46	773
47	797
48	827
49	857
50	863
51	881
52	911
53	941
54	947
55	971