A274189 - cp's OEIS frontend

A274189 Even numbers 2n that satisfy an extended Goldbach conjecture: They have at least one Goldbach partition 2n = p + q (p <= q; p, q prime) that satisfies p <= sqrt(n), at least one with sqrt(n) < p <= sqrt(2n) and at least one with p > sqrt(2n).

n	a(n)
1	34
2	46
3	50
4	66
5	74
6	78
7	86
8	138
9	142
10	160
11	162
12	168
13	170
14	174
15	176
16	178
17	180
18	184
19	186
20	194
21	202
22	204
23	206
24	234
25	236
26	238
27	240
28	242
29	246
30	252
31	254
32	264
33	270
34	276
35	282
36	284
37	290
38	294
39	296
40	298
41	300
42	310
43	320
44	324
45	328
46	334
47	348
48	354
49	364
50	366
51	370
52	372
53	376
54	378
55	384
56	386
57	390
58	392
59	396
60	400

[34, 46, 50, 66, 74, 78, 86, 138, 142, 160, 162, 168, 170, 174, 176, 178, 180, 184, 186, 194, 202, 204, 206, 234, 236, 238, 240, 242, 246, 252, 254, 264, 270, 276, 282, 284, 290, 294, 296, 298, 300, 310, 320, 324, 328, 334, 348, 354, 364, 366, 370, 372, 376, 378, 384, 386, 390, 392, 396, 400]

cp's OEIS Frontend

A274189 Even numbers 2n that satisfy an extended Goldbach conjecture: They have at least one Goldbach partition 2n = p + q (p <= q; p, q prime) that satisfies p <= sqrt(n), at least one with sqrt(n) < p <= sqrt(2n) and at least one with p > sqrt(2n).

Table of values

List of values

n	a(n)
1	34
2	46
3	50
4	66
5	74
6	78
7	86
8	138
9	142
10	160
11	162
12	168
13	170
14	174
15	176
16	178
17	180
18	184
19	186
20	194
21	202
22	204
23	206
24	234
25	236
26	238
27	240
28	242
29	246
30	252
31	254
32	264
33	270
34	276
35	282
36	284
37	290
38	294
39	296
40	298
41	300
42	310
43	320
44	324
45	328
46	334
47	348
48	354
49	364
50	366
51	370
52	372
53	376
54	378
55	384
56	386
57	390
58	392
59	396
60	400

n	a(n)
1	34
2	46
3	50
4	66
5	74
6	78
7	86
8	138
9	142
10	160
11	162
12	168
13	170
14	174
15	176
16	178
17	180
18	184
19	186
20	194
21	202
22	204
23	206
24	234
25	236
26	238
27	240
28	242
29	246
30	252
31	254
32	264
33	270
34	276
35	282
36	284
37	290
38	294
39	296
40	298
41	300
42	310
43	320
44	324
45	328
46	334
47	348
48	354
49	364
50	366
51	370
52	372
53	376
54	378
55	384
56	386
57	390
58	392
59	396
60	400

n	a(n)
1	34
2	46
3	50
4	66
5	74
6	78
7	86
8	138
9	142
10	160
11	162
12	168
13	170
14	174
15	176
16	178
17	180
18	184
19	186
20	194
21	202
22	204
23	206
24	234
25	236
26	238
27	240
28	242
29	246
30	252
31	254
32	264
33	270
34	276
35	282
36	284
37	290
38	294
39	296
40	298
41	300
42	310
43	320
44	324
45	328
46	334
47	348
48	354
49	364
50	366
51	370
52	372
53	376
54	378
55	384
56	386
57	390
58	392
59	396
60	400