Author(s)

Yichun Xiao ¹

Affiliation(s)

¹ Derun Pharmacy, Dezhou, Shandong, 251507, China

Corresponding Author

Yichun Xiao

ABSTRACT

This paper is a comprehensive discussion of following three papers: An Even Number Divisible by 6 could be Expressed as the Sum of Several Groups of Two Prime Numbers[1], Research on an Even Number Which Plus 2 Can be Exactly Divided by 6 Can be Expressed as the Sum of Several Sets of Two Prime Numbers[2], Research on an Even Number Which Minus 2 Can be Exactly Divided by 6 Can be Expressed as the Sum of Several Sets of Two Prime Numbers[3], which is published in sections with too long solution. In this paper, the relationship between the number D of even P(1,1) prime number pairs and the number L of twin prime numbers smaller than the even number is synthesized, and the characteristics of the P(1,1) prime number pairs and the characteristics of the group number of prime pairs are analyzed, and the factors affecting the number of P(1,1) prime number pairs are analyzed. The Formulas of P(1,1) prime pairs using the number of twin primes less than the even number is given and the Goldbach Conjecture is proved valid.

KEYWORDS

Even P (1, 1) prime number pairs; Number of twin prime groups; Prime factors; Formulas

CITE THIS PAPER

Yichun Xiao, Research on the Goldbach Conjecture. Transactions on Computational and Applied Mathematics (2024) Vol. 4: 160-165. DOI: http://dx.doi.org/10.23977/tracam.2024.040121.

REFERENCES

[1] Yichun Xiao. An Even Number Divisible by 6 could be Expressed as the Sum of Several Groups of Two Prime Numbers. International Journal of Educational Curriculum Management and Research (2023), Vol. 4, Issue 3: 49-60.
[2] Yichun Xiao. Research on an Even Number Which Plus 2 Can be Exactly Divided by 6 Can be Expressed as the Sum of Several Sets of Two Prime Numbers. Transactions on Computational and Applied Mathematics (2024), Vol. 4. Number 1: 78-85.
[3] Yichun Xiao. Research on an Even Number Which Minus 2 Can be Exactly Divided by 6 Can be Expressed as the Sum of Several Sets of Two Prime Numbers. Transactions on Computational and Applied Mathematics (2024), Vol. 4. Number 1: 86-94.
[4] Yichun Xiao. Classification of prime numbers. Digitization Users. 2022 (5): 140. 

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