## A General Theorem for the Characterization of N Prime Numbers Simultaneously

**Authors:** Florentin Smarandache

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 [3], as well as
I. Cucurezeanu's theorem ([1], p. 165), Clement's theorem,
S. Patrizio's theorems [2], etc.
Particularly, this General Theorem offers different
characterizations for twin primes, for quadruple primes,
etc.

**Comments:** 9 pages

**Download:** **PDF**

### Submission history

[v1] 6 Mar 2010

**Unique-IP document downloads:** 42 times

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