The Vertical Generalization Of The Binary Goldbach S Conjecture As Applied On Iterative Primes With Recursive Prime Indexes I Primeths
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The “Vertical” Generalization of the Binary Goldbach’s Conjecture as Applied on “Iterative” Primes with (Recursive) Prime Indexes (i-primeths)
This article proposes a synthesized classification of some Goldbach-like conjectures, including those which are “stronger” than the Binary Goldbach’s Conjecture (BGC) and launches a new generalization of BGC briefly called “the Vertical Binary Goldbach’s Conjecture” (VBGC), which is essentially a metaconjecture, as VBGC states an infinite number of conjectures stronger than BGC, which all apply on “iterative” primes with recursive prime indexes (i-primeths).
The "Vertical" Generalization of Goldbach’s Conjecture – An Infinite Class of Conjectures Stronger than Goldbach’s
Author: Andrei-Lucian Drăgoi
language: en
Publisher: Dr. Andrei-Lucian Drăgoi
Release Date: 2021-07-30
This work proposes the generalization of the binary (strong) Goldbach’s Conjecture, briefly called “the Vertical Binary Goldbach’s Conjecture”, which is essentially a meta-conjecture because it states an infinite number of conjectures stronger than Goldbach’s, which all apply on “iterative” primes with recursive prime indexes, with many potential theoretical and practical applications in mathematics and physics) and a very special self-similar property of the primes subset of positive integers.
Goldbach Conjecture
These book consists of two parts:(i) A detailed introduction by the editor to provide a full exposition on the developments of the study of Goldbach conjecture, including a complete reference.(ii) A collection of original papers on Goldbach Conjecture and is intended for graduate students and researchers in analytic number theory who have an understanding of basic elementary number theory and the theory of the distribution of prime numbers. The basic methods for treating Goldbach Conjecture are the circle method of Hardy and Littlewood and the sieve method of Brun. This book contains papers with originalities and important progresses on these two methods and all the papers in Chinese, French, German and Russian have been translated into English.