The Set of Prime Numbers

Details The Set of Prime Numbers The Set of Prime Numbers

2007-09-11

arxiv.org/abs/0709.1539v1

Mathematics

General Mathematics

11 pages

Scientific paper

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.

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