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Optimization applications of Goldbach's conjecture [PDF]

Heliyon, 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.
Bertrand M.T. Lin, Shin-Mei Lin, Shyong Jian Shyu   +2 more
doaj   +5 more sources

Goldbach's conjecture

International Journal of Media and Networks
In this article I try to make my modest contribution to the proof of Goldbach’s Conjecture and I propose to simply go through its ...
Mariana Vazquez Coello
semanticscholar   +5 more sources

Goldbach's Conjecture

International Journal of Science and Research (IJSR), 2021
The conjecture was formulated by a German Mathematician/Lawyer Christian Goldbach in 1742. The conjecture is in number theory and is one of the seven millennium problems to be awarded US $1 million by publishing house Faber and Faber if proved by any one.
Adriko Bosco
openaire   +2 more sources

Linnik's approximation to Goldbach's conjecture, and other problems [PDF]

, 2015
We examine the problem of writing every sufficiently large even number as the sum of two primes and at most $K$ powers of 2. We outline an approach that only just falls short of improving the current bounds on $K$.
Platt, Dave, Trudgian, Tim
core   +2 more sources

Siegel Zeros, Twin Primes, Goldbach’s Conjecture, and Primes in Short Intervals [PDF]

International mathematics research notices, 2021
We study the distribution of prime numbers under the unlikely assumption that Siegel zeros exist. In particular, we prove for $$ \begin{align*} & \sum_{n \leq X} \Lambda(n) \Lambda(\pm n+h) \end{align*}$$an asymptotic formula that holds uniformly for ...
Kaisa Matomaki, Jori Merikoski
semanticscholar   +1 more source

On the Universal Encoding Optimality of Primes

Mathematics, 2021
The factorial-additive optimality of primes, i.e., that the sum of prime factors is always minimum, implies that prime numbers are a solution to an integer linear programming (ILP) encoding optimization problem. The summative optimality of primes follows
Ioannis N. M. Papadakis
doaj   +1 more source

The Binary Goldbach Conjecture [PDF]

JOHME: 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 a German mathematician Christian Goldbach, in a letter addressed to Leonhard Euler proposed a conjecture. The modern day version of the Binary/Strong Goldbach conjecture asserts that: Every even integer ...
openaire   +3 more sources

A Full and Detailed Proof for the Riemann Hypothesis & the Simple Inductive proof of Goldbach’s Conjecture

International journal of mathematics and statistics studies, 2023
As in my previous two papers [2] & [3] about the boundary of the prime gap still cause some misunderstanding, I here in this paper tries to clarify those detailed steps in proving such boundary of the prime gap for a contradiction.
Lam Kai Shun
semanticscholar   +1 more source

PROPOSAL OF DEMONSTRATION OF THE GOLDBACH’S CONJECTURE

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH, 2023
The Goldbach’s conjecture is the unproven mathematic assertion which states : All whole even number greater than 2 can be written as the sums of two prime numbers.
Ŕemy Aumeunier
semanticscholar   +1 more source

Supply and Demand, Tax, Income, Profit and Proof of Goldbach’s Conjecture——Logic is the Basis of Correct Mathematical Measurement

Journal of Economic Science Research, 2023
This paper demonstrates that Marshall’s logic on the supply and demand curve is not rigorous enough, that Coase’s theorem is flawed, and that the “Okishio Theorem” and Sweezy s logic are inadequate through empirical proof.
Zhaochen Wang
semanticscholar   +1 more source