A168322 - cp's OEIS frontend

A168322 a(1)=3,a(2)=5; a(n+1)=smallest prime number > a(n-1) such that the sum of any three consecutive terms is a prime.

n	a(n)
1	3
2	5
3	5
4	7
5	7
6	17
7	13
8	23
9	17
10	31
11	19
12	47
13	23
14	61
15	29
16	67
17	31
18	83
19	37
20	103
21	41
22	107
23	43
24	113
25	67
26	127
27	83
28	137
29	97
30	139
31	101
32	149
33	103
34	157
35	107
36	167
37	109
38	173
39	127
40	179
41	137
42	193
43	149
44	199
45	151
46	227
47	163
48	229
49	179
50	233
51	181
52	239
53	193
54	241
55	197
56	263
57	199
58	271
59	239

[3, 5, 5, 7, 7, 17, 13, 23, 17, 31, 19, 47, 23, 61, 29, 67, 31, 83, 37, 103, 41, 107, 43, 113, 67, 127, 83, 137, 97, 139, 101, 149, 103, 157, 107, 167, 109, 173, 127, 179, 137, 193, 149, 199, 151, 227, 163, 229, 179, 233, 181, 239, 193, 241, 197, 263, 199, 271, 239]

cp's OEIS Frontend

A168322 a(1)=3,a(2)=5; a(n+1)=smallest prime number > a(n-1) such that the sum of any three consecutive terms is a prime.

Table of values

List of values

n	a(n)
1	3
2	5
3	5
4	7
5	7
6	17
7	13
8	23
9	17
10	31
11	19
12	47
13	23
14	61
15	29
16	67
17	31
18	83
19	37
20	103
21	41
22	107
23	43
24	113
25	67
26	127
27	83
28	137
29	97
30	139
31	101
32	149
33	103
34	157
35	107
36	167
37	109
38	173
39	127
40	179
41	137
42	193
43	149
44	199
45	151
46	227
47	163
48	229
49	179
50	233
51	181
52	239
53	193
54	241
55	197
56	263
57	199
58	271
59	239

n	a(n)
1	3
2	5
3	5
4	7
5	7
6	17
7	13
8	23
9	17
10	31
11	19
12	47
13	23
14	61
15	29
16	67
17	31
18	83
19	37
20	103
21	41
22	107
23	43
24	113
25	67
26	127
27	83
28	137
29	97
30	139
31	101
32	149
33	103
34	157
35	107
36	167
37	109
38	173
39	127
40	179
41	137
42	193
43	149
44	199
45	151
46	227
47	163
48	229
49	179
50	233
51	181
52	239
53	193
54	241
55	197
56	263
57	199
58	271
59	239

n	a(n)
1	3
2	5
3	5
4	7
5	7
6	17
7	13
8	23
9	17
10	31
11	19
12	47
13	23
14	61
15	29
16	67
17	31
18	83
19	37
20	103
21	41
22	107
23	43
24	113
25	67
26	127
27	83
28	137
29	97
30	139
31	101
32	149
33	103
34	157
35	107
36	167
37	109
38	173
39	127
40	179
41	137
42	193
43	149
44	199
45	151
46	227
47	163
48	229
49	179
50	233
51	181
52	239
53	193
54	241
55	197
56	263
57	199
58	271
59	239