Results 11 to 20 of about 117,836 (141)

A progress on the binary Goldbach conjecture

open access: yes, 2022
In this paper, we develop the method of circle of partitions and associated statistics. As an application, we prove conditionally the binary Goldbach conjecture. We develop series of steps to prove the binary Gold-bach conjecture in full. We end the paper by proving the binary Goldbach conjecture for all even numbers exploiting the strategies outlined.
Agama, Theophilus
openaire   +3 more sources

Discovery on Goldbach conjecture [PDF]

open access: yes, 2019
Goldbach's famous conjecture has always fascinated eminent mathematicians. In this paper we give a rigorous proof based on a new formulation, namely, that every even integer has a primo-raduis.
Bado, Idriss, Olivier
core   +1 more source

GOLDBACH CONJECTURE PROOF

open access: yes, 2018
In this paper we are going to give the proof of Goldbach conjecture by introducing a new lemma which implies Goldbach conjecture .By using Chebotarev-Artin theorem , Mertens formula and Poincare sieve we establish the ...
Bado
core   +4 more sources

Some discussions on the Goldbach conjecture [PDF]

open access: yes, 2023
According to some discussions based on syllogism, we present results on the binary Goldbach conjecture in three categories: results that are weaker than the Goldbach conjecture, sufficient conditions for the Goldbach conjecture, and results that are ...
Li, Huixi
core   +1 more source

La conjecture de Goldbach

open access: yes, 2013
The Goldbach conjecture (La conjecture de ...
Colonna, Jean-Francois
core   +3 more sources

The generalized Goldbach conjecture

open access: yes, 2022
Goldbach conjecture ...
Alberto MirĂ³ (9003836)
core   +1 more source

Diophantine equations in semiprimes

open access: yesDiscrete Analysis, 2019
Diophantine equations in semiprimes, Discrete Analysis 2019:17, 21 pp. This paper considers the problem of finding integer solutions to integral polynomial equations of the form $$f(x_1,\dots,x_n)=0\qquad\qquad (*)$$ with the condition that each ...
Shuntaro Yamagishi
doaj   +1 more source

On Some Conjectures Related to the Goldbach Conjecture

open access: yesRocky Mountain Journal of Mathematics, 2006
The author first shows that every sufficiently large integer \(n\) can be written as the sum of a square and a \(P_3\) (an integer is called a \(P_r\), when it has at most \(r\) prime factors counted with multiplicity), and points out that in the latter representation, the \(P_3\) may be replaced by a \(P_2\) when \(n\) is not a square, by the work of \
openaire   +3 more sources

La conjecture de Goldbach

open access: yes, 2012
The Goldbach conjecture (La conjecture de ...
Colonna, Jean-Francois
core   +2 more sources

Efficient Approximation of Goldbach Partition Function Using Machine Learning Models

open access: yesIEEE Access
Goldbach’s conjecture, still unproven, posits that every even integer greater than 2 can be expressed as the sum of two primes. The Goldbach partition function $G(n)$ counts the number of such prime pairs for even integer $n \gt 2$ .
Cheng-Zhe Wu, Shyong Jian Shyu
doaj   +1 more source

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