English

A General Theorem for the Characterization of N Prime Numbers Simultaneously

General Mathematics 2007-05-23 v1

Abstract

This article presents a necessary and sufficient theorem for N numbers, coprime two by two, to be prime simultaneously. It generalizes V. Popa's theorem, as well as I. Cucurezeanu's theorem, Clement's theorem, S. Patrizio's theorems, etc. Particularly, this General Theorem offers many characterizations for twin primes, for quadruple primes, and so on.

Keywords

Cite

@article{arxiv.math/0405023,
  title  = {A General Theorem for the Characterization of N Prime Numbers Simultaneously},
  author = {Florentin Smarandache},
  journal= {arXiv preprint arXiv:math/0405023},
  year   = {2007}
}

Comments

9 pages

R2 v1 2026-07-22T17:04:59.268Z