Results 51 to 60 of about 1,226 (146)

Goldbach's conjecture

open access: yes, 2012
Admin note: withdrawn by arXiv admin because of the use of a pseudonym, in violation of arXiv policy.
openaire   +2 more sources

THE ORDER OF NUMBERS AND THE GOLDBACH CONJECTURE

open access: yesSSRN Electronic Journal, 2023
Following will be regard the potentiality of order of numbers for the ternary Goldbach conjecture, where he claimed that “every number… is an aggregate of three prime numbers”. The order of numbers illustrates the possible combinations of prime numbers for the generation of all natural (integer) numbers.
openaire   +1 more source

X‐ray micro‐CT imaging to study foliar water uptake mechanisms in plants with contrasting leaf topography

open access: yesNew Phytologist, Volume 248, Issue 2, Page 656-671, October 2025.
Summary Formation of an aqueous continuum from the leaf surface to the sub‐stomatal cavity is a key process, affecting the foliar entry of solutes, particles, and pathogens. However, the factors controlling the transition from a water droplet to the formation of a continuous water film remain poorly understood.
Max Frank   +8 more
wiley   +1 more source

On the Goldbach Conjecture in Arithmetic Progressions

open access: yesRocky Mountain Journal of Mathematics, 2006
For integers \(k\), \(b_1\), \(b_2\) and \(b_3\) with \(k\geq1\) and \((b_1b_2b_3,k)=1\), write \(J(N)=J(N;k,b_1,b_2,b_3)\) for the number of representations of \(N\) in the form \(N=p_1+p_2+p_3\) with primes \(p_i\) satisfying \(p_i\equiv b_i\pmod k\) for \(i=1\), 2, 3.
Bauer, Claus, Yonghui, Wang
openaire   +3 more sources

Sylvester: Ushering in the Modern Era of Research on Odd Perfect Numbers

open access: yes, 2003
In 1888, James Joseph Sylvester (1814-1897) published a series of papers that he hoped would pave the way for a general proof of the nonexistence of an odd perfect number (OPN).
Gimbel, Steven, Jaroma, John
core   +1 more source

Unifying colors by primes. [PDF]

open access: yesLight Sci Appl, 2023
Li HL, Fang SC, Lin BMT, Kuo W.
europepmc   +1 more source

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.
openaire   +2 more sources

On Goldbach conjecture

open access: yes, 2020
The Goldbach Problem is reduced to three smaller problems according to the concept of left, middle, and right numbers [1]. The left and right numbers are present in the Goldbach pairs. The solutions to the three problems are similar and simpler. A condition for the satisfaction of the Goldbach conjecture as well as a main equation for the number of ...
openaire   +2 more sources

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