A061303 - cp's OEIS frontend

A061303 Given a prime p, let s(p,0)=p and let s(p,n+1) be the smallest prime == 1 (mod s(p,n)). Let S(p) be the sequence {s(p,n): n=0,1,...}. Let a(0)=2 and let a(n+1) be the smallest prime not in any of the sequences S(a(0)), ..., S(a(n)).

n	a(n)
0	2
1	5
2	13
3	17
4	19
5	31
6	37
7	41
8	43
9	61
10	67
11	71
12	73
13	79
14	89
15	97
16	101
17	109
18	113
19	127
20	131
21	137
22	139
23	151
24	157
25	163
26	181
27	193
28	197
29	199
30	211
31	223
32	229
33	233
34	239
35	241
36	251
37	257
38	271
39	277
40	281
41	307
42	313
43	331
44	337
45	349
46	353
47	373
48	379
49	397
50	401
51	409
52	419
53	421
54	431
55	433

[2, 5, 13, 17, 19, 31, 37, 41, 43, 61, 67, 71, 73, 79, 89, 97, 101, 109, 113, 127, 131, 137, 139, 151, 157, 163, 181, 193, 197, 199, 211, 223, 229, 233, 239, 241, 251, 257, 271, 277, 281, 307, 313, 331, 337, 349, 353, 373, 379, 397, 401, 409, 419, 421, 431, 433]

cp's OEIS Frontend

A061303 Given a prime p, let s(p,0)=p and let s(p,n+1) be the smallest prime == 1 (mod s(p,n)). Let S(p) be the sequence {s(p,n): n=0,1,...}. Let a(0)=2 and let a(n+1) be the smallest prime not in any of the sequences S(a(0)), ..., S(a(n)).

Table of values

List of values

n	a(n)
0	2
1	5
2	13
3	17
4	19
5	31
6	37
7	41
8	43
9	61
10	67
11	71
12	73
13	79
14	89
15	97
16	101
17	109
18	113
19	127
20	131
21	137
22	139
23	151
24	157
25	163
26	181
27	193
28	197
29	199
30	211
31	223
32	229
33	233
34	239
35	241
36	251
37	257
38	271
39	277
40	281
41	307
42	313
43	331
44	337
45	349
46	353
47	373
48	379
49	397
50	401
51	409
52	419
53	421
54	431
55	433

n	a(n)
0	2
1	5
2	13
3	17
4	19
5	31
6	37
7	41
8	43
9	61
10	67
11	71
12	73
13	79
14	89
15	97
16	101
17	109
18	113
19	127
20	131
21	137
22	139
23	151
24	157
25	163
26	181
27	193
28	197
29	199
30	211
31	223
32	229
33	233
34	239
35	241
36	251
37	257
38	271
39	277
40	281
41	307
42	313
43	331
44	337
45	349
46	353
47	373
48	379
49	397
50	401
51	409
52	419
53	421
54	431
55	433

n	a(n)
0	2
1	5
2	13
3	17
4	19
5	31
6	37
7	41
8	43
9	61
10	67
11	71
12	73
13	79
14	89
15	97
16	101
17	109
18	113
19	127
20	131
21	137
22	139
23	151
24	157
25	163
26	181
27	193
28	197
29	199
30	211
31	223
32	229
33	233
34	239
35	241
36	251
37	257
38	271
39	277
40	281
41	307
42	313
43	331
44	337
45	349
46	353
47	373
48	379
49	397
50	401
51	409
52	419
53	421
54	431
55	433