Can anyone in the know give an opinion on the claimed proof? I see Wikipedia has already been updated:

  Considerable work has been done on the weak Goldbach conjecture
  culminating in a 2013 claimed proof by Harald Helfgott.

Taken from http://en.wikipedia.org/wiki/Goldbachs_conjecture#Rigorous_r...

For the casual reader, there is a great novel by Apostolos Doxiadis based around Goldbach's conjecture: http://en.wikipedia.org/wiki/Uncle_Petros_and_Goldbach%27s_C...

(Doxiadis's "Logicomix" is also recommended)

Terry Tao's comments on this: https://plus.google.com/u/0/114134834346472219368/posts/8qpS...

Mathoverflow discussion: http://mathoverflow.net/questions/130545