An elementary sieve

Details An elementary sieve An elementary sieve

2007-08-28

arxiv.org/abs/0708.3709v1

Mathematics

General Mathematics

5 pages, no figures, 2 tables

Scientific paper

In this paper we review the properties of families of numbers of the form $6n\pm1$, with $n$ integer (in which there are all prime numbers greater than 3 and other compound numbers with particular properties) to later use them in a new sieve that allows the separation of numbers $n$ that generate primes from those that only generate compounds. In principle, this can be used to find the amount of prime numbers up to a given number $h$; this means, $\pi(h)$.

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