A358438 - cp's OEIS frontend

A358438 a(1) = 4, a(2) = 6; then a(n + 1) is the smallest semiprime number > a(n) such that the sum of any three consecutive terms is a semiprime.

n	a(n)
1	4
2	6
3	15
4	25
5	34
6	35
7	46
8	62
9	69
10	74
11	94
12	106
13	119
14	121
15	122
16	134
17	142
18	146
19	158
20	169
21	178
22	206
23	213
24	214
25	235
26	249
27	253
28	265
29	267
30	299
31	303
32	319
33	321
34	334
35	382
36	395
37	422
38	445
39	446
40	454
41	466
42	469
43	482
44	514
45	517
46	538
47	586
48	589
49	591
50	623
51	629

[4, 6, 15, 25, 34, 35, 46, 62, 69, 74, 94, 106, 119, 121, 122, 134, 142, 146, 158, 169, 178, 206, 213, 214, 235, 249, 253, 265, 267, 299, 303, 319, 321, 334, 382, 395, 422, 445, 446, 454, 466, 469, 482, 514, 517, 538, 586, 589, 591, 623, 629]

cp's OEIS Frontend

A358438 a(1) = 4, a(2) = 6; then a(n + 1) is the smallest semiprime number > a(n) such that the sum of any three consecutive terms is a semiprime.

Table of values

List of values

n	a(n)
1	4
2	6
3	15
4	25
5	34
6	35
7	46
8	62
9	69
10	74
11	94
12	106
13	119
14	121
15	122
16	134
17	142
18	146
19	158
20	169
21	178
22	206
23	213
24	214
25	235
26	249
27	253
28	265
29	267
30	299
31	303
32	319
33	321
34	334
35	382
36	395
37	422
38	445
39	446
40	454
41	466
42	469
43	482
44	514
45	517
46	538
47	586
48	589
49	591
50	623
51	629

n	a(n)
1	4
2	6
3	15
4	25
5	34
6	35
7	46
8	62
9	69
10	74
11	94
12	106
13	119
14	121
15	122
16	134
17	142
18	146
19	158
20	169
21	178
22	206
23	213
24	214
25	235
26	249
27	253
28	265
29	267
30	299
31	303
32	319
33	321
34	334
35	382
36	395
37	422
38	445
39	446
40	454
41	466
42	469
43	482
44	514
45	517
46	538
47	586
48	589
49	591
50	623
51	629

n	a(n)
1	4
2	6
3	15
4	25
5	34
6	35
7	46
8	62
9	69
10	74
11	94
12	106
13	119
14	121
15	122
16	134
17	142
18	146
19	158
20	169
21	178
22	206
23	213
24	214
25	235
26	249
27	253
28	265
29	267
30	299
31	303
32	319
33	321
34	334
35	382
36	395
37	422
38	445
39	446
40	454
41	466
42	469
43	482
44	514
45	517
46	538
47	586
48	589
49	591
50	623
51	629