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THE BINARY GOLDBACH CONJECTURE [PDF]

open access: yesJOHME: Journal of Holistic Mathematics Education, 2021
The Goldbach Conjecture, one of the oldest problems in mathematics, has fascinated and inspired many mathematicians for ages. In 1742 German mathematician Christian Goldbach, in a letter addressed to Leonhard Euler, proposed a conjecture.
Jan Feliksiak
doaj   +4 more sources

The Proof and Decryption of Goldbach Conjecture

open access: yesComputer Sciences & Mathematics Forum, 2023
In this paper, a few mathematical bases are given firstly. Then, the step thinness τp of primes is given as τp = Lo1 = P1ΠP/(P−1) for the inner character, having an lnX logarithmic outer character. The “best estimation and mutual exchange equivalent” are
Linfu Ge
doaj   +2 more sources

Optimization applications of Goldbach's conjecture. [PDF]

open access: yesHeliyon, 2023
Goldbach's conjecture is an unsolved legendary problem. In this paper, we investigate an optimization problem as an attempt to discuss potential applications of the conjecture. In an optimization perspective, the research question, modelled from design of base components, is to select a minimum number of primes to span a given set of target even ...
Lin BMT, Lin SM, Shyu SJ.
europepmc   +4 more sources

Goldbach Conjecture and the least prime number in an arithmetic progression [PDF]

open access: yes, 2010
In this Note, we try to study the relations between the Goldbach Conjecture and the least prime number in an arithmetic progression. We give a new weakened form of the Goldbach Conjecture.
Zhang, Shaohua
core   +3 more sources

Números primos; método gráfico de la conjetura de GOLDBACH

open access: yesRevista Bases de la Ciencia, 2018
Mediante el uso de Microsoft Excel el siguiente trabajo examina las tablas de multiplicar desde una perspectiva distinta, con un método sencillo para encontrar la secuencia de los números primos en la línea continua de los números naturales , y así luego
Yandry Intriago Delgado
doaj   +1 more source

Prime numbers, quantum field theory and the Goldbach conjecture [PDF]

open access: yes, 2012
Motivated by the Goldbach conjecture in Number Theory and the abelian bosonization mechanism on a cylindrical two-dimensional spacetime we study the reconstruction of a real scalar field as a product of two real fermion (so-called \textit{prime}) fields ...
Di Francesco P.   +6 more
core   +2 more sources

The ternary Goldbach problem [PDF]

open access: yes, 2014
The ternary Goldbach conjecture, or three-primes problem, states that every odd number $n$ greater than $5$ can be written as the sum of three primes. The conjecture, posed in 1742, remained unsolved until now, in spite of great progress in the twentieth
Helfgott, Harald Andrés
core   +3 more sources

Conjetura de GOLDBACH, números naturales y teorema de números primos

open access: yesRevista Bases de la Ciencia, 2019
Mediante el uso de Geogebra en el siguiente manuscrito se realiza un análisis de la conjetura de Goldbach, posteriormente se comprueba mediante expresiones algebraicas que siempre existe una cantidad mínima de elementos primos que hacen que se cumpla la ...
Yandry Marcelo Intriago Delgado
doaj   +1 more source

The number of Goldbach representations of an integer [PDF]

open access: yes, 2010
We prove the following result: Let $N \geq 2$ and assume the Riemann Hypothesis (RH) holds. Then \[ \sum_{n=1}^{N} R(n) =\frac{N^{2}}{2} -2 \sum_{\rho} \frac{N^{\rho + 1}}{\rho (\rho + 1)} + O(N \log^{3}N), \] where $\rho=1/2+i\gamma$ runs over the non ...
Languasco, Alessandro   +1 more
core   +2 more sources

Una aproximación a la Conjetura de Goldbach

open access: yesEcomatemático, 2019
One of the mathematical problems that seems to be very true, but lacks a demonstration, is Goldbach's conjecture posed since 1742.The present article makes a critical analysis, where several proposals for its solution were compiled, with a ...
Ingrid Yurley Parada-Buitrago   +2 more
doaj   +1 more source

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