Splitting Goldbach’s Twin Prime Conjecture Asunder for Even Numbers

Kwesi Atta Sakyi
Kwesi Atta Sakyi * § MPA, BA, MBA
§ ZCAS University, Lusaka, Zambia

Send Message

To: Author

Splitting Goldbach’s Twin Prime Conjecture Asunder for Even Numbers

Article Fingerprint

ReserarchID

4SN2S

Splitting Goldbach’s Twin Prime Conjecture Asunder for Even Numbers Banner

Key Research Insights

Synthesized scholarly intelligence & interactive research assistant
  • English
  • Afrikaans
  • Albanian
  • Amharic
  • Arabic
  • Armenian
  • Azerbaijani
  • Basque
  • Belarusian
  • Bengali
  • Bosnian
  • Bulgarian
  • Catalan
  • Cebuano
  • Chichewa
  • Chinese (Simplified)
  • Chinese (Traditional)
  • Corsican
  • Croatian
  • Czech
  • Danish
  • Dutch
  • Esperanto
  • Estonian
  • Filipino
  • Finnish
  • French
  • Frisian
  • Galician
  • Georgian
  • German
  • Greek
  • Gujarati
  • Haitian Creole
  • Hausa
  • Hawaiian
  • Hebrew
  • Hindi
  • Hmong
  • Hungarian
  • Icelandic
  • Igbo
  • Indonesian
  • Irish
  • Italian
  • Japanese
  • Javanese
  • Kannada
  • Kazakh
  • Khmer
  • Korean
  • Kurdish (Kurmanji)
  • Kyrgyz
  • Lao
  • Latin
  • Latvian
  • Lithuanian
  • Luxembourgish
  • Macedonian
  • Malagasy
  • Malay
  • Malayalam
  • Maltese
  • Maori
  • Marathi
  • Mongolian
  • Myanmar (Burmese)
  • Nepali
  • Norwegian
  • Pashto
  • Persian
  • Polish
  • Portuguese
  • Punjabi
  • Romanian
  • Russian
  • Samoan
  • Scots Gaelic
  • Serbian
  • Sesotho
  • Shona
  • Sindhi
  • Sinhala
  • Slovak
  • Slovenian
  • Somali
  • Spanish
  • Sundanese
  • Swahili
  • Swedish
  • Tajik
  • Tamil
  • Telugu
  • Thai
  • Turkish
  • Ukrainian
  • Urdu
  • Uzbek
  • Vietnamese
  • Welsh
  • Xhosa
  • Yiddish
  • Yoruba
  • Zulu
Reading Preferences
Font Size
Line Spacing
Background
This converted HTML version may contain rendering inconsistencies. Please refer to the PDF for the authoritative version, or click here to provide feedback.

Abstract

The Goldbach Conjecture remains one of the several unsolved mathematical problems today, along with the Twin Prime Conjecture. It is said to be one of the simplest mathematical problems to state yet the most difficult to prove. In this paper, the author explores a few even numbers about the problem, and, using them as his sample size, juxtaposes his ideas with those of others through literature review. The author explores a solution to the Goldbach conjecture which was put forward about 275 years ago, by a German mathematician, Christian Goldbach, who was a contemporary of the genius German mathematician, Leonhard Euler. Euler in a letter to Goldbach, had confessed at the time that unfortunately, he (Euler) could not prove Goldbach’s mathematical poser. Through fundamental analysis and critical thinking, this author attempts to share his thoughts on how to resolve this long-standing mathematical debacle. The methodology used is basic, experimental, and exploratory, with the use of inferences through recognition of number patterns. We hope that this paper will make a small contribution to the discourse on Goldbach’s conjecture, whose solution has eluded mathematicians for about 275 years.

References

42 Cites in Article
  1. 1. Aops (2020). Goldbach's Conjecture. Goldbach's Conjecture
  2. 2. A Bryman,E Bell (2007). Business Research Methods USA. Business Research Methods USA
  3. 3. C Caldwell (2020). Goldbach's Conjecture. Prime Pages-Prime Glossary
  4. 4. Castelvecchi (2012). Their Prime: Mathematicians Come Closer to Solving Goldbach's Weak Conjecture 5. Curiosity. Their Prime: Mathematicians Come Closer to Solving Goldbach's Weak Conjecture 5. Curiosity
  5. 5. H Helfgott,David Platt (2012). Numerical Verification of the Ternary Goldbach Conjecture up to 8.875·1030. Experimental Mathematics, 22(4), 406-409.
  6. 6. A Kiersz (2018). Here are 4 Crazy Prime Number Problems No Mathematician Has Yet Solved ScienceAlert. Business Insider, 17
  7. 7. S Kwak,J Kim (2017). Central Limit Theorem: the cornerstone of modern statistics. Korean Journal of Anaesthesiology, 70(2), 144-156.
  8. 8. D Linkletter (2019). The) Hardest Math Problems That Remain Unsolved Popular Mechanics Getty Creative Commons September 26. The) Hardest Math Problems That Remain Unsolved Popular Mechanics Getty Creative Commons September 26
  9. 9. S Marshall (2017). Elementary proof of the Goldbach Conjecture. Online
  10. 10. M Murty,(n.D The Twin Prime Problem and Generalizations. The Twin Prime Problem and Generalizations
  11. 11. Laurent Hodges (1993). A Lesser-Known Goldbach Conjecture. Mathematics Magazine, 66(1), 45-47.
  12. 12. Quora Is there any proof for Goldbach's conjecture. Is there any proof for Goldbach's conjecture
  13. 13. K Sakyi (2020). Triple Reflections-A Discourse on Twin Prime Conjecture, Pascal's Triangle, and Euler's. E Global Journal of Science Frontier Research, XX(1)
  14. 14. Olivier Ramare (1995). Rationality of the zeta function of the subgroups of abelian $p$-groups. Publicationes Mathematicae Debrecen, 90(1-2), 91-105.
  15. 15. M Saunders,P Lewis,A Thornhill (2009). Research Methods for Business Students London. Research Methods for Business Students London
  16. 16. Y Sha (2016). Polignac's Conjecture with New Prime Number Theorem [Online. Journal of Physical Mathematics sha, J Phys Math, 7.
  17. 17. M Spiegel (1975). Probability and Statistics-Schaum Series Singapore: McGraw Hill1. Probability and Statistics-Schaum Series Singapore: McGraw Hill1
  18. 18. I Vinogradov,Vinogradov (2011). Vinogradov, German. Vinogradov, German
  19. 19. J Wu (2007). Chen's double sieve, Goldbach's conjecture and the twin prime problem. Acta Arithmetica, 114(3), 215-273.
  20. 20. T Yamane,P Zhou (1970). Statistics. A Solution of Goldbach Conjecture Arising from the Largest Strong Goldbach Number Bibliography
  21. 21. J-M Deshouillers,H Te Riele,Y Saouter (1998). New experimental results concerning the Goldbach conjecture.
  22. 22. H Fliegel,D Robertson (1989). Goldbach's comet: the numbers related to Goldbach's conjecture. J. Recreational Math, 21(1), 1-7.
  23. 23. A Granville,H Te Riele,J Van De Lune (1989). Checking the Goldbach conjecture on a vector computer. Number theory and its applications, 423-433.
  24. 24. G Hardy,J Littlewood (1923). Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes. Acta Mathematica, 44, 1-70.
  25. 25. O Ramaré (1995). On Schnirelmann's constant. Ann. Sc. Norm. Super. Pisa, 22(4), 645-706.
  26. 26. P Ribenboim (1995). The new book of prime number records, 3rd edition. The new book of prime number records, 3rd edition, 541.
  27. 27. Jörg Richstein (2001). Verifying the Goldbach conjecture up to 4⋅10¹⁴. Mathematics of Computation, 70(236), 1745-1749.
  28. 28. Matti Sinisalo (1993). Checking the Goldbach conjecture up to 4⋅10¹¹. Mathematics of Computation, 61(204), 931-934.
  29. 29. Y Wang (1984). Goldbach conjecture Series in Pure Mathematics. Goldbach conjecture Series in Pure Mathematics, 4, 311.
  30. 30. Kwesi Sakyi (2020). Migration Trends in Sub-Saharan Africa-Domestic and International Socio-Politico-Economic Repercussions: Implications for Zambia. Supporting Inclusive Growth and Sustainable Development in Africa - Volume II, 239-261.
  31. 31. K Sakyi (2020). Leadership Gap between Reality and Vision-The Challenges of Implementation in Transitional Organisations-A Generic Review. Leadership Gap between Reality and Vision-The Challenges of Implementation in Transitional Organisations-A Generic Review
  32. 32. Kwesi Sakyi (2019). Negotiation Failure - Case Of Daimler-Chrysler. Advances in Social Sciences Research Journal
  33. 33. Kwesi Sakyi (2019). Global Operations Innovativeness and Entrepreneurship at 3M Company Limited. Advances in Social Sciences Research Journal
  34. 34. Kwesi Sakyi (2019). Sustainable Supply Chain Management at Clif Bar. Advances in Social Sciences Research Journal
  35. 35. Kwesi Sakyi (2019). PR Management of BP Oil Spill on Gulf of Mexico-A Strategic Communication Approach. Advances in Social Sciences Research Journal
  36. 36. Kwesi Sakyi,Francis Mukosa,Burton Mweemba,Moses Katebe (2019). Opportunities Threats and Challenges in Anarchistic and Autarkic States-Utopian States versus Dystopian States-Plight of Communities and Individuals in the Modern World. Urban Studies and Public Administration, 2(3), p139.
  37. 37. Kwesi Sakyi (2019). Public Corporation Monopolies - Case Study of Sale of Electricity Company of Ghana (ECG). Advances in Social Sciences Research Journal, 116
  38. 38. Kwesi Sakyi (2020). Intelligent Cities. Advances in Civil and Industrial Engineering, 216-250.
  39. 39. G Mweshi,K Sakyi (2020). Building Sustainable Supply Chain Investment Decisions Through Financial Analysis-Case Study of Lusaka SMEs American Scientific Research Journal for Engineering. Building Sustainable Supply Chain Investment Decisions Through Financial Analysis-Case Study of Lusaka SMEs American Scientific Research Journal for Engineering
  40. 40. G Mweshi,K Sakyi (2019). Management of Transparency in Outsourcing-A Case Study of ZCAS American Scientific Research Journal for Engineering. Management of Transparency in Outsourcing-A Case Study of ZCAS American Scientific Research Journal for Engineering
  41. 41. K Sakyi (2020). Triple Reflections-A Discourse on Twin Prime Conjecture, Pascal's Triangle, and Euler's e. Global Journal of Science Frontier Research Mathematics and Decision Science, 20(2), 21-34.
  42. 42. K Sakyi (2017). Artificial Intelligence and potential future possibilities. International Journal of Development Research, 7(2), 11608-11611.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Kwesi Atta Sakyi. 2020. "Splitting Goldbach’s Twin Prime Conjecture Asunder for Even Numbers". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 20 (GJSFR Volume 20 Issue F3).

More Citation Formats

Download Citation

Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification MSC 2010: 11A41
Version of record

v1.2

Issue date
May 5, 2020

Language
English
Order Article Reprint
Experience in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

Article Matrices
Total Views: 694
Total Downloads: 56
All Trends

Request Access

Please fill out the form below to request access to this research paper. Your request will be reviewed by the editorial or author team.
X

This is the heading

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

High-quality academic research articles on global topics and journals.

Splitting Goldbach’s Twin Prime Conjecture Asunder for Even Numbers

Kwesi Sakyi
Kwesi Sakyi ZCAS University, Lusaka, Zambia
<p>ZCAS University, Lusaka, Zambia</p>