As shown in a recent paper (March 2013), see http://pubs.sciepub.com/ajma/1/1/2/abstract.html#.UYUcBEqSnRg, not only one but a minimum number of prime pairs (p,q) that fulfill the relationship 2n=p+q can be estimated using a very simple formula. Moreover, the centroids of triangles based on the triplets (6k-2,6k,6k+2) closely follow the average number of representations (also a simple formula).

## Lower bound in Goldbach's Conjecture

As shown in a recent paper (March 2013), see http://pubs.sciepub.com/ajma/1/1/2/abstract.html#.UYUcBEqSnRg, not only one but a minimum number of prime pairs (p,q) that fulfill the relationship 2n=p+q can be estimated using a very simple formula. Moreover, the centroids of triangles based on the triplets (6k-2,6k,6k+2) closely follow the average number of representations (also a simple formula).