A134204 - cp's OEIS frontend

A134204 a(0)=2; for n > 0, a(n) = smallest prime not occurring earlier in the sequence such that a(n-1) + a(n) is a multiple of n. If no such prime exists, the sequence terminates.

n	a(n)
0	2
1	3
2	5
3	7
4	13
5	17
6	19
7	23
8	41
9	31
10	29
11	37
12	11
13	67
14	59
15	61
16	83
17	53
18	73
19	79
20	101
21	109
22	89
23	233
24	103
25	47
26	239
27	139
28	113
29	293
30	97
31	151
32	137
33	127
34	43
35	167
36	157
37	509
38	251
39	373
40	107
41	467
42	163
43	181
44	347
45	193
46	313
47	439
48	281
49	307
50	443
51	271
52	197
53	227
54	367
55	733
56	331
57	353
58	401
59	71
60	229

[2, 3, 5, 7, 13, 17, 19, 23, 41, 31, 29, 37, 11, 67, 59, 61, 83, 53, 73, 79, 101, 109, 89, 233, 103, 47, 239, 139, 113, 293, 97, 151, 137, 127, 43, 167, 157, 509, 251, 373, 107, 467, 163, 181, 347, 193, 313, 439, 281, 307, 443, 271, 197, 227, 367, 733, 331, 353, 401, 71, 229]

cp's OEIS Frontend

A134204 a(0)=2; for n > 0, a(n) = smallest prime not occurring earlier in the sequence such that a(n-1) + a(n) is a multiple of n. If no such prime exists, the sequence terminates.

Table of values

List of values

n	a(n)
0	2
1	3
2	5
3	7
4	13
5	17
6	19
7	23
8	41
9	31
10	29
11	37
12	11
13	67
14	59
15	61
16	83
17	53
18	73
19	79
20	101
21	109
22	89
23	233
24	103
25	47
26	239
27	139
28	113
29	293
30	97
31	151
32	137
33	127
34	43
35	167
36	157
37	509
38	251
39	373
40	107
41	467
42	163
43	181
44	347
45	193
46	313
47	439
48	281
49	307
50	443
51	271
52	197
53	227
54	367
55	733
56	331
57	353
58	401
59	71
60	229

n	a(n)
0	2
1	3
2	5
3	7
4	13
5	17
6	19
7	23
8	41
9	31
10	29
11	37
12	11
13	67
14	59
15	61
16	83
17	53
18	73
19	79
20	101
21	109
22	89
23	233
24	103
25	47
26	239
27	139
28	113
29	293
30	97
31	151
32	137
33	127
34	43
35	167
36	157
37	509
38	251
39	373
40	107
41	467
42	163
43	181
44	347
45	193
46	313
47	439
48	281
49	307
50	443
51	271
52	197
53	227
54	367
55	733
56	331
57	353
58	401
59	71
60	229

n	a(n)
0	2
1	3
2	5
3	7
4	13
5	17
6	19
7	23
8	41
9	31
10	29
11	37
12	11
13	67
14	59
15	61
16	83
17	53
18	73
19	79
20	101
21	109
22	89
23	233
24	103
25	47
26	239
27	139
28	113
29	293
30	97
31	151
32	137
33	127
34	43
35	167
36	157
37	509
38	251
39	373
40	107
41	467
42	163
43	181
44	347
45	193
46	313
47	439
48	281
49	307
50	443
51	271
52	197
53	227
54	367
55	733
56	331
57	353
58	401
59	71
60	229