Suppose that N is large and that A is a subset of {1,..,N} which does not contain two elements x, y with x – y equal to p-1, p a prime. Then A has cardinality at most N1 – c, for some absolute and positive c. I will discuss the history of this kind of question as well as some aspects of the proof of the stated result.
This video is part of the Number Theory Web Seminar series.
