A Constructive Method for Generating Prime Numbers and Reversing the Goldbach Conjecture
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| Titel: | A Constructive Method for Generating Prime Numbers and Reversing the Goldbach Conjecture |
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| Autoren: | Fatiha Menad |
| Publikationsjahr: | 2025 |
| Bestand: | Bath Spa University: Figshare |
| Schlagwörter: | Pure mathematics not elsewhere classified, Prime Numbers, Goldbach Conjecture, Constructive Primes, Even Numbers, additive number theory, Constructive algorithm, number decomposition |
| Beschreibung: | 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. |
| Publikationsart: | report |
| Sprache: | 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 |
| Verfügbarkeit: | 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 |
| Dokumentencode: | edsbas.159B18C7 |
| Datenbank: | BASE |
Nájsť tento článok vo Web of Science | Abstract: | 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. |
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| DOI: | 10.6084/m9.figshare.29739680.v2 |