A112824 - cp's OEIS frontend

A112824 Consider the Goldbach conjecture that every even number 2n=p+p' with p<=p'. Consider all such Goldbach partitions; a(n) is the difference between the largest p and the smallest p. Call this difference the Goldbach gap.

n	a(n)
2	0
3	0
4	0
5	2
6	0
7	4
8	2
9	2
10	4
11	8
12	6
13	10
14	6
15	6
16	10
17	14
18	12
19	12
20	14
21	14
22	10
23	20
24	14
25	16
26	18
27	16
28	16
29	24
30	22
31	28
32	20
33	24
34	24
35	26
36	26
37	34
38	26
39	32
40	30
41	38
42	36
43	40
44	36
45	36
46	28
47	42
48	36
49	18
50	44
51	38
52	40
53	50
54	42
55	40
56	50
57	48
58	40
59	54
60	52
61	48
62	42
63	46
64	42
65	56
66	56
67	64
68	48
69	60
70	64
71	68
72	66
73	66
74	48
75	60

[0, 0, 0, 2, 0, 4, 2, 2, 4, 8, 6, 10, 6, 6, 10, 14, 12, 12, 14, 14, 10, 20, 14, 16, 18, 16, 16, 24, 22, 28, 20, 24, 24, 26, 26, 34, 26, 32, 30, 38, 36, 40, 36, 36, 28, 42, 36, 18, 44, 38, 40, 50, 42, 40, 50, 48, 40, 54, 52, 48, 42, 46, 42, 56, 56, 64, 48, 60, 64, 68, 66, 66, 48, 60]

cp's OEIS Frontend

A112824 Consider the Goldbach conjecture that every even number 2n=p+p' with p<=p'. Consider all such Goldbach partitions; a(n) is the difference between the largest p and the smallest p. Call this difference the Goldbach gap.

Table of values

List of values

n	a(n)
2	0
3	0
4	0
5	2
6	0
7	4
8	2
9	2
10	4
11	8
12	6
13	10
14	6
15	6
16	10
17	14
18	12
19	12
20	14
21	14
22	10
23	20
24	14
25	16
26	18
27	16
28	16
29	24
30	22
31	28
32	20
33	24
34	24
35	26
36	26
37	34
38	26
39	32
40	30
41	38
42	36
43	40
44	36
45	36
46	28
47	42
48	36
49	18
50	44
51	38
52	40
53	50
54	42
55	40
56	50
57	48
58	40
59	54
60	52
61	48
62	42
63	46
64	42
65	56
66	56
67	64
68	48
69	60
70	64
71	68
72	66
73	66
74	48
75	60

n	a(n)
2	0
3	0
4	0
5	2
6	0
7	4
8	2
9	2
10	4
11	8
12	6
13	10
14	6
15	6
16	10
17	14
18	12
19	12
20	14
21	14
22	10
23	20
24	14
25	16
26	18
27	16
28	16
29	24
30	22
31	28
32	20
33	24
34	24
35	26
36	26
37	34
38	26
39	32
40	30
41	38
42	36
43	40
44	36
45	36
46	28
47	42
48	36
49	18
50	44
51	38
52	40
53	50
54	42
55	40
56	50
57	48
58	40
59	54
60	52
61	48
62	42
63	46
64	42
65	56
66	56
67	64
68	48
69	60
70	64
71	68
72	66
73	66
74	48
75	60

n	a(n)
2	0
3	0
4	0
5	2
6	0
7	4
8	2
9	2
10	4
11	8
12	6
13	10
14	6
15	6
16	10
17	14
18	12
19	12
20	14
21	14
22	10
23	20
24	14
25	16
26	18
27	16
28	16
29	24
30	22
31	28
32	20
33	24
34	24
35	26
36	26
37	34
38	26
39	32
40	30
41	38
42	36
43	40
44	36
45	36
46	28
47	42
48	36
49	18
50	44
51	38
52	40
53	50
54	42
55	40
56	50
57	48
58	40
59	54
60	52
61	48
62	42
63	46
64	42
65	56
66	56
67	64
68	48
69	60
70	64
71	68
72	66
73	66
74	48
75	60