Results 41 to 50 of about 521 (101)

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

Commodity risk assessment of Petunia spp. and Calibrachoa spp. unrooted cuttings from Guatemala

open access: yesEFSA Journal, Volume 22, Issue 1, January 2024.
Abstract The European Commission requested the EFSA Panel on Plant Health to evaluate the probability of entry of pests (likelihood of pest freedom at entry), including both, regulated and non‐regulated pests, associated with unrooted cuttings of the genera Petunia and Calibrachoa produced under physical isolation in Guatemala.
EFSA Panel on Plant Health (PLH)   +35 more
wiley   +1 more source

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

The Prime Sequence: Demonstrably Highly Organized While Also Opaque and Incomputable—With Remarks on Riemann’s Hypothesis, Partition, Goldbach’s Conjecture, Euclid on Primes, Euclid’s Fifth Postulate, Wilson’s Theorem along with Lagrange’s Proof of It and Pascal’s Triangle, and Rational Human Intelligence

open access: yesAdvances in Pure Mathematics, 2014
The main design of this paper is to determine once and for all the true nature and status of the sequence of the prime numbers, or primes—that is, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and so on. The main conclusion revolves entirely around two points.
openaire   +2 more sources

A Detailed Proof of the Strong Goldbach Conjecture Based on Partitions of a New Formulation of a Set of Even Numbers

open access: yesAsian Research Journal of Mathematics
The Strong Goldbach's conjecture, a fundamental problem in Number Theory, asserts that every even integer greater than 2 can be expressed as the sum of two prime numbers. Despite significant efforts over centuries, this conjecture remains unproven, challenging the core of mathematics.
Daniel Sankei   +2 more
openaire   +1 more source

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