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Archiv der Mathematik

, Volume 78, Issue 1, pp 24–25 | Cite as

On additive decompositions of the set of primes

  • J.-C. Puchta
  • 39 Downloads

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.

Keywords

Additive Decomposition 
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Copyright information

© Birkhäuser Verlag, Basel 2002

Authors and Affiliations

  • J.-C. Puchta
    • 1
  1. 1.Albert-Ludwigs-Universität Freiburg, Mathematisches Institut, Eckerstr. 1, 79104 Freiburg, Germany,¶ e-mail: jcp@arcade.mathematik.uni-freiburg.deDE

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