A242247 - cp's OEIS frontend

A242247 Maximal k <= n^2 + 1 such that every Goldbach representation of 2*k = p+q contains at least one prime from the set {prime(1), prime(2), ..., prime(n)}, or a(n)=0 if there is no such k.

n	a(n)
1	2
2	4
3	8
4	10
5	14
6	22
7	22
8	28
9	32
10	38
11	46
12	49
13	49
14	58
15	58
16	68
17	74
18	74
19	82
20	82
21	87
22	94
23	94
24	98
25	112
26	116
27	121
28	128
29	136
30	146
31	146
32	146
33	155
34	155
35	164
36	166
37	184
38	184
39	184
40	200
41	206
42	206
43	221
44	221
45	224
46	238
47	244
48	265
49	265
50	268
51	268
52	268
53	286
54	286
55	286
56	286
57	344

[2, 4, 8, 10, 14, 22, 22, 28, 32, 38, 46, 49, 49, 58, 58, 68, 74, 74, 82, 82, 87, 94, 94, 98, 112, 116, 121, 128, 136, 146, 146, 146, 155, 155, 164, 166, 184, 184, 184, 200, 206, 206, 221, 221, 224, 238, 244, 265, 265, 268, 268, 268, 286, 286, 286, 286, 344]

cp's OEIS Frontend

A242247 Maximal k <= n^2 + 1 such that every Goldbach representation of 2*k = p+q contains at least one prime from the set {prime(1), prime(2), ..., prime(n)}, or a(n)=0 if there is no such k.

Table of values

List of values

n	a(n)
1	2
2	4
3	8
4	10
5	14
6	22
7	22
8	28
9	32
10	38
11	46
12	49
13	49
14	58
15	58
16	68
17	74
18	74
19	82
20	82
21	87
22	94
23	94
24	98
25	112
26	116
27	121
28	128
29	136
30	146
31	146
32	146
33	155
34	155
35	164
36	166
37	184
38	184
39	184
40	200
41	206
42	206
43	221
44	221
45	224
46	238
47	244
48	265
49	265
50	268
51	268
52	268
53	286
54	286
55	286
56	286
57	344

n	a(n)
1	2
2	4
3	8
4	10
5	14
6	22
7	22
8	28
9	32
10	38
11	46
12	49
13	49
14	58
15	58
16	68
17	74
18	74
19	82
20	82
21	87
22	94
23	94
24	98
25	112
26	116
27	121
28	128
29	136
30	146
31	146
32	146
33	155
34	155
35	164
36	166
37	184
38	184
39	184
40	200
41	206
42	206
43	221
44	221
45	224
46	238
47	244
48	265
49	265
50	268
51	268
52	268
53	286
54	286
55	286
56	286
57	344

n	a(n)
1	2
2	4
3	8
4	10
5	14
6	22
7	22
8	28
9	32
10	38
11	46
12	49
13	49
14	58
15	58
16	68
17	74
18	74
19	82
20	82
21	87
22	94
23	94
24	98
25	112
26	116
27	121
28	128
29	136
30	146
31	146
32	146
33	155
34	155
35	164
36	166
37	184
38	184
39	184
40	200
41	206
42	206
43	221
44	221
45	224
46	238
47	244
48	265
49	265
50	268
51	268
52	268
53	286
54	286
55	286
56	286
57	344