In this work we show that the prime distribution is not random. Indeed the set of prime numbers P can be expressed in terms of two maximal subsets of N using three specific selection rules, acting on these sets of prime candidates. The prime candidates are obtained in terms of the first perfect number. The symmetries and supersymmetries of the selections rules as well as the asymptotic behaviour are also considered.
The set of prime numbers: Symmetries and supersymmetries of selection rules and asymptotic behaviours
IOVANE, Gerardo
2008
Abstract
In this work we show that the prime distribution is not random. Indeed the set of prime numbers P can be expressed in terms of two maximal subsets of N using three specific selection rules, acting on these sets of prime candidates. The prime candidates are obtained in terms of the first perfect number. The symmetries and supersymmetries of the selections rules as well as the asymptotic behaviour are also considered.File in questo prodotto:
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