A168323 - cp's OEIS frontend

A168323 a(1)=3, a(2)=5; a(n+1) is the smallest prime number greater than a(n-1) and not equal to a(n) such that the sum of any three consecutive terms is a prime.

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

[3, 5, 11, 7, 13, 11, 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]

cp's OEIS Frontend

A168323 a(1)=3, a(2)=5; a(n+1) is the smallest prime number greater than a(n-1) and not equal to a(n) 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	11
4	7
5	13
6	11
7	17
8	13
9	23
10	17
11	31
12	19
13	47
14	23
15	61
16	29
17	67
18	31
19	83
20	37
21	103
22	41
23	107
24	43
25	113
26	67
27	127
28	83
29	137
30	97
31	139
32	101
33	149
34	103
35	157
36	107
37	167
38	109
39	173
40	127
41	179
42	137
43	193
44	149
45	199
46	151
47	227
48	163
49	229
50	179
51	233
52	181
53	239
54	193
55	241
56	197
57	263
58	199
59	271

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

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