A General Theorem for the Characterization of N Prime Numbers Simultaneously

2004/05/02 by Florentin Smarandache
Mathematics · #math.GM #msc:11A07

paper · pdf

published as Published in Libertas Mathematica, University of Texas at Arlington, Vol. XI, 151-155, 1991 · 9 pages

arxiv created 2004/05/02 · arxiv updated 2009/12/01

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.

Related

• A new enlightenment about gaps between primes
• On three consecutive primes
• The twin prime conjecture
• Proof of the Twin Prime Conjecture (Together with the Proof of Polignac's Conjecture for Cousin Primes)
• An equivalent problem to the Twin Prime Conjecture