A086517 - cp's OEIS frontend

A086517 a(1) = 1 and then the smallest odd number not included earlier such that the arithmetic mean of a pair of successive terms is prime.

n	a(n)
1	1
2	3
3	7
4	15
5	11
6	23
7	35
8	27
9	19
10	39
11	43
12	31
13	51
14	55
15	63
16	59
17	47
18	71
19	75
20	67
21	79
22	87
23	91
24	103
25	99
26	95
27	83
28	111
29	107
30	119
31	135
32	127
33	147
34	115
35	139
36	123
37	131
38	143
39	155
40	159
41	167
42	179
43	183
44	151
45	163
46	171
47	175
48	187
49	195
50	191
51	203
52	219
53	227
54	231
55	215
56	207
57	239
58	243
59	211

[1, 3, 7, 15, 11, 23, 35, 27, 19, 39, 43, 31, 51, 55, 63, 59, 47, 71, 75, 67, 79, 87, 91, 103, 99, 95, 83, 111, 107, 119, 135, 127, 147, 115, 139, 123, 131, 143, 155, 159, 167, 179, 183, 151, 163, 171, 175, 187, 195, 191, 203, 219, 227, 231, 215, 207, 239, 243, 211]

cp's OEIS Frontend

A086517 a(1) = 1 and then the smallest odd number not included earlier such that the arithmetic mean of a pair of successive terms is prime.

Table of values

List of values

n	a(n)
1	1
2	3
3	7
4	15
5	11
6	23
7	35
8	27
9	19
10	39
11	43
12	31
13	51
14	55
15	63
16	59
17	47
18	71
19	75
20	67
21	79
22	87
23	91
24	103
25	99
26	95
27	83
28	111
29	107
30	119
31	135
32	127
33	147
34	115
35	139
36	123
37	131
38	143
39	155
40	159
41	167
42	179
43	183
44	151
45	163
46	171
47	175
48	187
49	195
50	191
51	203
52	219
53	227
54	231
55	215
56	207
57	239
58	243
59	211

n	a(n)
1	1
2	3
3	7
4	15
5	11
6	23
7	35
8	27
9	19
10	39
11	43
12	31
13	51
14	55
15	63
16	59
17	47
18	71
19	75
20	67
21	79
22	87
23	91
24	103
25	99
26	95
27	83
28	111
29	107
30	119
31	135
32	127
33	147
34	115
35	139
36	123
37	131
38	143
39	155
40	159
41	167
42	179
43	183
44	151
45	163
46	171
47	175
48	187
49	195
50	191
51	203
52	219
53	227
54	231
55	215
56	207
57	239
58	243
59	211

n	a(n)
1	1
2	3
3	7
4	15
5	11
6	23
7	35
8	27
9	19
10	39
11	43
12	31
13	51
14	55
15	63
16	59
17	47
18	71
19	75
20	67
21	79
22	87
23	91
24	103
25	99
26	95
27	83
28	111
29	107
30	119
31	135
32	127
33	147
34	115
35	139
36	123
37	131
38	143
39	155
40	159
41	167
42	179
43	183
44	151
45	163
46	171
47	175
48	187
49	195
50	191
51	203
52	219
53	227
54	231
55	215
56	207
57	239
58	243
59	211