An invitation to additive prime number theory
  The main purpose of this survey is to introduce an inexperienced reader to additive prime number theory and some related branches of analytic number theory. We state the main problems in the field, sketch their history and the basic machinery used to study them, and try to give a representative sample of the directions of current research. 
A. V. Kumchev (University of Texas), D. I. Tolev (Plovdiv University)