English

The Set of Prime Numbers

General Mathematics 2007-09-12 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0709.1539,
  title  = {The Set of Prime Numbers},
  author = {Gerardo Iovane},
  journal= {arXiv preprint arXiv:0709.1539},
  year   = {2007}
}

Comments

11 pages

R2 v1 2026-06-21T09:16:05.200Z