An invitation to additive prime number theory A.V. Kumchev and D.I. Tolev have compiled a short document entitled An Invitation to Additive Prime Number Theory. From the introduction to the article : "The main purpose of this survey is to introduce the 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." There are over 250 references in the article, it's quite extensive.