A Constructive Method for Generating Prime Numbers and Reversing the Goldbach Conjecture
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| Title: | A Constructive Method for Generating Prime Numbers and Reversing the Goldbach Conjecture |
|---|---|
| Authors: | Fatiha Menad |
| Publication Year: | 2025 |
| Collection: | Bath Spa University: Figshare |
| Subject Terms: | Pure mathematics not elsewhere classified, Prime Numbers, Goldbach Conjecture, Constructive Primes, Even Numbers, additive number theory, Constructive algorithm, number decomposition |
| Description: | In this paper, we propose a simple yet powerful method for generating prime numbers based on digital properties: the number must end with an odd digit different from 5, and the sum of its digits must itself be a prime number. We show that this approach is highly effective in constructing valid primes and provides a controlled mechanism for generating them. Furthermore, we apply this method to the Goldbach conjecture in reverse, by building custom primes and summing them to generate even numbers, thus offering a constructive perspective on Goldbach’s problem.This article introduces a novel constructive method for generating prime numbers through arithmetic design and utilizes it to reverse the Goldbach conjecture by producing controlled prime sets. |
| Document Type: | report |
| Language: | unknown |
| Relation: | https://figshare.com/articles/preprint/A_Constructive_Method_for_Generating_Prime_Numbers_and_Reversing_the_Goldbach_Conjecture/29739680 |
| DOI: | 10.6084/m9.figshare.29739680.v2 |
| Availability: | https://doi.org/10.6084/m9.figshare.29739680.v2 https://figshare.com/articles/preprint/A_Constructive_Method_for_Generating_Prime_Numbers_and_Reversing_the_Goldbach_Conjecture/29739680 |
| Rights: | CC BY 4.0 |
| Accession Number: | edsbas.159B18C7 |
| Database: | BASE |
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