Skip to main content
SpringerLink
Log in

On additive decompositions of the set of primes

  • Published:
Archiv der Mathematik Aims and scope Submit manuscript

Abstract.

We show that there is no set \( {\cal A} \) of integers, such that¶\( ({\cal P} - {1}) \subseteqq {\cal A} + {\cal A} \subseteqq {\cal P} \cup ({\cal P} - 1) \),¶ where \( {\cal P} \) denotes the set of primes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Albert-Ludwigs-Universität Freiburg, Mathematisches Institut, Eckerstr. 1, 79104 Freiburg, Germany,¶ e-mail: jcp@arcade.mathematik.uni-freiburg.de, , , , , , DE

    J.-C. Puchta

Authors
  1. J.-C. Puchta
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Eingegangen am 14. 1. 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Puchta, JC. On additive decompositions of the set of primes. Arch. Math. 78, 24–25 (2002). https://doi.org/10.1007/s00013-002-8212-6

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00013-002-8212-6

Keywords

Search

Navigation