Goldbach representations for even

Christian Goldbach conjectured that all sufficiently large even integers can be represented as the sum of two odd primes. This has been checked for all even integers up to ${10}^{18}$. The table below gives Goldbach representations for the integers from 8 to 100.

6	3 + 3
8	5 + 3
10	7 + 3 = 5 + 5
12	7 + 5
14	11 + 3 = 7 + 7
16	13 + 3 = 11 + 5
18	13 + 5 = 11 + 7
20	17 + 3 = 13 + 7
22	19 + 3 = 17 + 5 = 11 + 11
24	19 + 5 = 17 + 7 = 13 + 11
26	23 + 3 = 19 + 7 = 13 + 13
28	23 + 5 = 17 + 11
30	23 + 7 = 19 + 11 = 17 + 13
32	29 + 3 = 19 + 13
34	31 + 3 = 29 + 5 = 23 + 11 = 17 + 17
36	31 + 5 = 29 + 7 = 23 + 13 = 19 + 17
38	31 + 7 = 19 + 19
40	37 + 3 = 29 + 11 = 23 + 17
42	37 + 5 = 31 + 11 = 29 + 13 = 23 + 19
44	41 + 3 = 37 + 7 = 31 + 13
46	43 + 3 = 41 + 5 = 29 + 17 = 23 + 23
48	43 + 5 = 41 + 7 = 37 + 11 = 31 + 17 = 29 + 19
50	47 + 3 = 43 + 7 = 37 + 13 = 31 + 19
52	47 + 5 = 41 + 11 = 29 + 23
54	47 + 7 = 43 + 11 = 41 + 13 = 37 + 17 = 31 + 23
56	53 + 3 = 43 + 13 = 37 + 19
58	53 + 5 = 47 + 11 = 41 + 17 = 29 + 29
60	53 + 7 = 47 + 13 = 43 + 17 = 41 + 19 = 37 + 23 = 31 + 29
62	59 + 3 = 43 + 19 = 31 + 31
64	61 + 3 = 59 + 5 = 53 + 11 = 47 + 17 = 41 + 23
66	61 + 5 = 59 + 7 = 53 + 13 = 47 + 19 = 43 + 23 = 37 + 29
68	61 + 7 = 37 + 31
70	67 + 3 = 59 + 11 = 53 + 17 = 47 + 23 = 41 + 29
72	67 + 5 = 61 + 11 = 59 + 13 = 53 + 19 = 43 + 29 = 41 + 31
74	71 + 3 = 67 + 7 = 61 + 13 = 43 + 31 = 37 + 37
76	73 + 3 = 71 + 5 = 59 + 17 = 53 + 23 = 47 + 29
78	73 + 5 = 71 + 7 = 67 + 11 = 61 + 17 = 59 + 19 = 47 + 31 = 41 + 37
80	73 + 7 = 67 + 13 = 61 + 19 = 43 + 37
82	79 + 3 = 71 + 11 = 59 + 23 = 53 + 29 = 41 + 41
84	79 + 5 = 73 + 11 = 71 + 13 = 67 + 17 = 61 + 23 = 53 + 31 = 47 + 37 = 43 + 41
86	83 + 3 = 79 + 7 = 73 + 13 = 67 + 19 = 43 + 43
88	83 + 5 = 71 + 17 = 59 + 29 = 47 + 41
90	83 + 7 = 79 + 11 = 73 + 17 = 71 + 19 = 67 + 23 = 61 + 29 = 59 + 31 = 53 + 37 = 47 + 43
92	89 + 3 = 79 + 13 = 73 + 19 = 61 + 31
94	89 + 5 = 83 + 11 = 71 + 23 = 53 + 41 = 47 + 47
96	89 + 7 = 83 + 13 = 79 + 17 = 73 + 23 = 67 + 29 = 59 + 37 = 53 + 43
98	79 + 19 = 67 + 31 = 61 + 37
100	97 + 3 = 89 + 11 = 83 + 17 = 71 + 29 = 59 + 41 = 53 + 47

Title	Goldbach representations for even
Canonical name	GoldbachRepresentationsForEven5N101
Date of creation	2013-03-22 17:25:47
Last modified on	2013-03-22 17:25:47
Owner	PrimeFan (13766)
Last modified by	PrimeFan (13766)
Numerical id	7
Author	PrimeFan (13766)
Entry type	Example
Classification	msc 11-00
Classification	msc 11P32