2007/09/11 by Gerardo Iovane, Iovane, Gerardo · 1 voice
Engineering · Mathematics · #Analytic Number Theory Research #Mathematics and Applications #graph theory and CDMA systems #math.GM
paper · pdf · doi:10.48550/arxiv.0709.1539
openalex publication_date 2007/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work we show that the prime distribution is deterministic. Indeed the set of prime numbers P can be expressed in terms of two subsets of N using three specific selection rules, acting on two sets of prime candidates. The prime candidates are obtained in terms of the first perfect number. The asymptotic behaviour is also considered. We obtain for the first time an explicit relation for generating the full set P of prime numbers smaller than n or equal to n.