English

Difference sets and shifted primes

Number Theory 2007-05-28 v1

Abstract

We show that if A is a subset of {1, ..., n} such that it has no pairs of elements whose difference is equal to p-1 with p a prime number, then the size of A is O(n(loglog n)^(-clogloglogloglog n)) for some positive constant c.

Keywords

Cite

@article{arxiv.0705.3749,
  title  = {Difference sets and shifted primes},
  author = {Jason Lucier},
  journal= {arXiv preprint arXiv:0705.3749},
  year   = {2007}
}
R2 v1 2026-06-21T08:32:00.930Z