Results 21 to 30 of about 501 (84)

A primordial, mathematical, logical and computable, demonstration (proof) of the family of conjectures known as Goldbach´s [PDF]

open access: yes, 2017
licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.In this document, by means of a novel system model and first order topological, algebraic and geometrical free-­‐context formal language (NT ...
Noheda Marín, Pedro   +1 more
core  

Sifting Function Partition for the Goldbach Problem

open access: yes, 2008
All sieve methods for the Goldbach problem sift out all the composite numbers; even though, strictly speaking, it is not necessary to do so and which is, in general, very difficult. Some new methods introduced in this paper show that the Goldbach problem can be solved under sifting out only some composite numbers.
openaire   +2 more sources

Goldbach Approach. A possible formula for calculating binary prime partitions of even numbers.

open access: yes, 2022
Goldbach conjecture is one of the most famous open problems of mathematics, but its fame is justified by the time that this problem has been unproven and the long list of people who contribute one more piece to this puzzle, which is why this conjecture has two problems, the obvious level of difficulty, and the second is to be able to separate from all ...
openaire   +1 more source

On the Distribution of the Number of Goldbach Partitions of a Randomly Chosen Positive Even Integer [PDF]

open access: yesElectronic Notes in Discrete Mathematics, 2016
Let $\mathcal{P}=\{p_1,p_2,...\}$ be the set of all odd primes arranged in increasing order. A Goldbach partition of the even integer $2k>4$ is a way of writing it as a sum of two primes from $\mathcal{P}$ without regard to order. Let $Q(2k)$ be the number of all Goldbach partitions of the number $2k$.
openaire   +2 more sources

Optimization applications of Goldbach's conjecture. [PDF]

open access: yesHeliyon, 2023
Lin BMT, Lin SM, Shyu SJ.
europepmc   +1 more source

Combinatorial and Additive Number Theory Problem Sessions: '09--'19

open access: yes, 2019
These notes are a summary of the problem session discussions at various CANT (Combinatorial and Additive Number Theory Conferences). Currently they include all years from 2009 through 2019 (inclusive); the goal is to supplement this file each year. These
Miller, Steven J.
core  

Predicting the size ranking of minimal primes in the generalised Goldbach partitions

open access: yes
A scarcely known generalization of Goldbach's conjecture introduced by Hardy and Littlewood states that for every pair of (relatively prime) positive integers m1 and m2, every sufficiently large integer n satisfying certain simple congruence criteria can be $(m_1,m_2)$-partitioned as $n = m_1p+m_2q$ for some primes $p$ and $q$.
Juhász, Zsófia, Bartalos, Máté
openaire   +2 more sources

The Number of Different Effective Partitions and a Specific Goldbach Partition of Any Given Even Number Greater Than 6

open access: yes, 2007
A specific Goldbach partition of any given even number greater than 6 can be found definitely.
openaire   +2 more sources

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