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[parent] Goldbach representations for even $5 < n < 101$ (Example)

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



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Cross-references: integers, representations, primes, odd, sum, even integers

This is version 4 of Goldbach representations for even $5 < n < 101$, born on 2007-07-27, modified 2008-03-18.
Object id is 9805, canonical name is GoldbachRepresentationsForEven7N1001.
Accessed 719 times total.

Classification:
AMS MSC: 11-00 (Number theory :: General reference works )
 11P32 (Number theory :: Additive number theory; partitions :: Goldbach-type theorems; other additive questions involving primes)
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