2007/08/28 by Damián Gulich, Damian Gulich, Gustavo Funes +10
Mathematics · #11A41 #11N35 #11N80 #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM) #math.GM #msc:11A41 #msc:11N35 #msc:11N80
paper · pdf · doi:10.48550/arxiv.0708.3709
5 pages, no figures, 2 tables
arxiv created 2007/08/28 · openalex publication_date 2007/08/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we review the properties of families of numbers of the form 6n±1, 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, π(h).