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chaotic house of primes and the unprovable Riemann hypothesis

chaotic house of primes and the unprovable Riemann hypothesis


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About the Book

The title "The chaotic house of primes and the unprovable Riemann hypothesis" states the objectives. The aim of this work is in fact to photograph the structure in which the prime numbers are placed (the house), to analyse the results obtained in the context of the Riemann hypothesis, results that attest to its non-verifiability, and finally to put emphasis on the distribution of primes, a distribution that is not random, not regular, but chaotic and from which order is generated.
Taking advantage the complementarity of the set of prime numbers with that of composite numbers, it is possible to photograph the structure in which primes are placed using the ordered structure of composite numbers.
Graphical representations follow to better grasp the regularity of composite numbers, as well as the spaces left by them free where the prime numbers find "house".
It is therefore possible to shed light on the distribution of primes and at the same time validate and contradict a particular aspect of the Riemann, namely that prime numbers are distributed with regularity. It follows the thesis according to which the Riemann hypothesis is impossible to prove or to disprove due to the "falsely ordered" nature of prime numbers. In fact, their nature is neither ordered nor random, but chaotic and generative of the order, the true one of composite numbers which, due to their complementarity with prime numbers, make appear ordered even the prime numbers. These are the 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.


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Product Details
  • ISBN-13: 9798391527237
  • Publisher: Amazon Digital Services LLC - Kdp
  • Publisher Imprint: Independently Published
  • Height: 229 mm
  • No of Pages: 32
  • Spine Width: 2 mm
  • Weight: 127 gr
  • ISBN-10: 8391527239
  • Publisher Date: 06 Jun 2022
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Full version
  • Width: 152 mm


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