On Wieferich and Non-Wieferich Primes with Prime Bases

Victor Alexandru, Cristian Cobeli, Marian Vâjâitu, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

We study the matter of the density and the distribution of Wieferich and non-Wieferich primes and especially the issues related to bases that are prime numbers. The existence of special partitions of the set of all prime numbers in two sets of which one has density equal to one and the other is maximal and is free of Wieferich pairs, but which contains hybrid Wieferich pairs with prime base and modulus belonging to one or the other is proved.

Original languageEnglish (US)
Article number93
JournalMediterranean Journal of Mathematics
Volume20
Issue number2
DOIs
StatePublished - Apr 2023

Keywords

  • Wieferich primes
  • arithmetic progressions
  • density
  • prime numbers

ASJC Scopus subject areas

  • General Mathematics

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