The Romanoff theorem revisited

Type: Article

Publication Date: 2008-01-01

Citations: 7

DOI: https://doi.org/10.4064/aa135-2-3

Abstract

Let P be the set of all primes and P_2=P\cup{p_1p_2: p_1,p_2\in P}$. We prove that the sumset 2^P+P_2={2^p+q: p\in P, q\in P_2} has a positive lower density.

Locations

  • Acta Arithmetica - View - PDF
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View