Overview

"The title choice, ""The chaotic home of prime numbers and the unprovable Riemann hypothesis"" reflects the objectives which are: to capture the structure in which prime numbers find their place (the house), to analyse the findings within the context of the Riemann Hypothesis, findings that attest to its non-verifiability, and finally, to emphasize the distribution of prime numbers, a distribution that is not random, not regular, but chaotic and generative of order. By leveraging the complementarity between the set of prime numbers and the set of composite numbers, it is possible to capture the structure in which prime numbers reside using the ordered structure of composite numbers. Said ordered structure is, in fact, described by two formulas capable of generating sequences of only odd composite numbers (it was chosen not to consider the even numbers since they are all composite, with the exception of the number 2). Graphical representations follow to better grasp the regularity of composite numbers, as well as the spaces left free by them, where the prime numbers find ""house"". It is therefore possible to shed light on the distribution of prime numbers and both support and contradict a particular aspect of the Riemann hypothesis, namely the assumption that prime numbers are distributed with regularity. This leads to the thesis that the Riemann hypothesis is impossible to prove or disprove due to the ""falsely ordered"" nature of prime numbers. Their nature is neither ordered nor random, but chaotic and generative of order; what makes them appear ordered is the true order of composite numbers, due to their complementarity with prime numbers. These are my conclusions. The text concludes with two annexes. In particular, using the algebraic form of the two above-mentioned families of sequences generating composite numbers, the first annex formally defines primality, a sequence of prime numbers and a set of prime numbers; the second annex suggests a polynomial sieve to determine if a number is prime."

Full Product Details

9798391527237

Table of Contents

Reviews

Author Information

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available