# Goldbach representations for even $5

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 5 + 3 7 + 3 = 5 + 5 7 + 5 11 + 3 = 7 + 7 13 + 3 = 11 + 5 13 + 5 = 11 + 7 17 + 3 = 13 + 7 19 + 3 = 17 + 5 = 11 + 11 19 + 5 = 17 + 7 = 13 + 11 23 + 3 = 19 + 7 = 13 + 13 23 + 5 = 17 + 11 23 + 7 = 19 + 11 = 17 + 13 29 + 3 = 19 + 13 31 + 3 = 29 + 5 = 23 + 11 = 17 + 17 31 + 5 = 29 + 7 = 23 + 13 = 19 + 17 31 + 7 = 19 + 19 37 + 3 = 29 + 11 = 23 + 17 37 + 5 = 31 + 11 = 29 + 13 = 23 + 19 41 + 3 = 37 + 7 = 31 + 13 43 + 3 = 41 + 5 = 29 + 17 = 23 + 23 43 + 5 = 41 + 7 = 37 + 11 = 31 + 17 = 29 + 19 47 + 3 = 43 + 7 = 37 + 13 = 31 + 19 47 + 5 = 41 + 11 = 29 + 23 47 + 7 = 43 + 11 = 41 + 13 = 37 + 17 = 31 + 23 53 + 3 = 43 + 13 = 37 + 19 53 + 5 = 47 + 11 = 41 + 17 = 29 + 29 53 + 7 = 47 + 13 = 43 + 17 = 41 + 19 = 37 + 23 = 31 + 29 59 + 3 = 43 + 19 = 31 + 31 61 + 3 = 59 + 5 = 53 + 11 = 47 + 17 = 41 + 23 61 + 5 = 59 + 7 = 53 + 13 = 47 + 19 = 43 + 23 = 37 + 29 61 + 7 = 37 + 31 67 + 3 = 59 + 11 = 53 + 17 = 47 + 23 = 41 + 29 67 + 5 = 61 + 11 = 59 + 13 = 53 + 19 = 43 + 29 = 41 + 31 71 + 3 = 67 + 7 = 61 + 13 = 43 + 31 = 37 + 37 73 + 3 = 71 + 5 = 59 + 17 = 53 + 23 = 47 + 29 73 + 5 = 71 + 7 = 67 + 11 = 61 + 17 = 59 + 19 = 47 + 31 = 41 + 37 73 + 7 = 67 + 13 = 61 + 19 = 43 + 37 79 + 3 = 71 + 11 = 59 + 23 = 53 + 29 = 41 + 41 79 + 5 = 73 + 11 = 71 + 13 = 67 + 17 = 61 + 23 = 53 + 31 = 47 + 37 = 43 + 41 83 + 3 = 79 + 7 = 73 + 13 = 67 + 19 = 43 + 43 83 + 5 = 71 + 17 = 59 + 29 = 47 + 41 83 + 7 = 79 + 11 = 73 + 17 = 71 + 19 = 67 + 23 = 61 + 29 = 59 + 31 = 53 + 37 = 47 + 43 89 + 3 = 79 + 13 = 73 + 19 = 61 + 31 89 + 5 = 83 + 11 = 71 + 23 = 53 + 41 = 47 + 47 89 + 7 = 83 + 13 = 79 + 17 = 73 + 23 = 67 + 29 = 59 + 37 = 53 + 43 79 + 19 = 67 + 31 = 61 + 37 97 + 3 = 89 + 11 = 83 + 17 = 71 + 29 = 59 + 41 = 53 + 47
Title Goldbach representations for even $5 GoldbachRepresentationsForEven5N101 2013-03-22 17:25:47 2013-03-22 17:25:47 PrimeFan (13766) PrimeFan (13766) 7 PrimeFan (13766) Example msc 11-00 msc 11P32