A257716 - cp's OEIS frontend

A257716 a(n) = smallest prime of even index not included earlier such that a(n) + a(n-1) + a(n-2) is a prime, beginning with a(1) = 3 and a(2) = 7.

n	a(n)
1	3
2	7
3	13
4	53
5	37
6	19
7	71
8	61
9	79
10	89
11	29
12	139
13	43
14	101
15	107
16	151
17	131
18	181
19	229
20	113
21	199
22	251
23	163
24	173
25	263
26	223
27	271
28	239
29	311
30	193
31	293
32	337
33	281
34	349
35	317
36	373
37	359
38	397
39	457
40	383
41	409
42	421
43	491
44	521
45	541
46	557
47	433
48	443
49	577
50	463
51	503
52	593
53	601
54	673
55	479
56	569
57	619
58	613

[3, 7, 13, 53, 37, 19, 71, 61, 79, 89, 29, 139, 43, 101, 107, 151, 131, 181, 229, 113, 199, 251, 163, 173, 263, 223, 271, 239, 311, 193, 293, 337, 281, 349, 317, 373, 359, 397, 457, 383, 409, 421, 491, 521, 541, 557, 433, 443, 577, 463, 503, 593, 601, 673, 479, 569, 619, 613]

cp's OEIS Frontend

A257716 a(n) = smallest prime of even index not included earlier such that a(n) + a(n-1) + a(n-2) is a prime, beginning with a(1) = 3 and a(2) = 7.

Table of values

List of values

n	a(n)
1	3
2	7
3	13
4	53
5	37
6	19
7	71
8	61
9	79
10	89
11	29
12	139
13	43
14	101
15	107
16	151
17	131
18	181
19	229
20	113
21	199
22	251
23	163
24	173
25	263
26	223
27	271
28	239
29	311
30	193
31	293
32	337
33	281
34	349
35	317
36	373
37	359
38	397
39	457
40	383
41	409
42	421
43	491
44	521
45	541
46	557
47	433
48	443
49	577
50	463
51	503
52	593
53	601
54	673
55	479
56	569
57	619
58	613

n	a(n)
1	3
2	7
3	13
4	53
5	37
6	19
7	71
8	61
9	79
10	89
11	29
12	139
13	43
14	101
15	107
16	151
17	131
18	181
19	229
20	113
21	199
22	251
23	163
24	173
25	263
26	223
27	271
28	239
29	311
30	193
31	293
32	337
33	281
34	349
35	317
36	373
37	359
38	397
39	457
40	383
41	409
42	421
43	491
44	521
45	541
46	557
47	433
48	443
49	577
50	463
51	503
52	593
53	601
54	673
55	479
56	569
57	619
58	613

n	a(n)
1	3
2	7
3	13
4	53
5	37
6	19
7	71
8	61
9	79
10	89
11	29
12	139
13	43
14	101
15	107
16	151
17	131
18	181
19	229
20	113
21	199
22	251
23	163
24	173
25	263
26	223
27	271
28	239
29	311
30	193
31	293
32	337
33	281
34	349
35	317
36	373
37	359
38	397
39	457
40	383
41	409
42	421
43	491
44	521
45	541
46	557
47	433
48	443
49	577
50	463
51	503
52	593
53	601
54	673
55	479
56	569
57	619
58	613