*From the Meaning of Infinite Classification to the Conjecture of Twin Prime Numbers*

**DOI:**216 Downloads 6590 Views

**Author(s)**

**Abstract**

**Background** The twin prime conjecture is considered as a classic puzzle in the history of number theory and one of the most famous conjectures, which has always puzzled us. At the International Congress of Mathematicians in 1900, mathematician David Hilbert presented 23 important mathematical problems and conjectures to be solved He included the Bernhard Riemann conjecture, the Twin Prime Conjecture, and the Goldbach's conjecture in the eighth of 23 mathematical problems. **Method Based** on the "Differential Incremental Equilibrium Theory" [1], the infinite set of infinite prime numbers is divided, the increment equation of infinite prime numbers is established, and the tree-like set of prime numbers is obtained. Find the twin primes with a minimum unit [1→1] of 2. **Result** When a set of prime numbers is infinitely divided, there are 2[1→1] pairs of prime numbers whose gap is equal to 2 and gap is not equal to 2. We gives a complete proof of the twin prime conjecture. It shows that the importance of "Differential Incremental Equilibrium Theory"[1] and infinite classification in twin prime conjecture. In a higher-level ideology, the set infinite partition classification confirms that the minimum unit is 2. It's a new way to prove Twin Prime Conjecture. **Conclusion** This paper gives a complete proof of the establishment of the Twin Prime Conjecture.

**Keywords**

Differential incremental equilibrium, Twin primes, Sets, Prime gap, Infinite Classification, Rough set

**Cite this paper**

Zhu Rong Rong,
From the Meaning of Infinite Classification to the Conjecture of Twin Prime Numbers
, *SCIREA Journal of Mathematics*.
Volume 5, Issue 1, February 2020 | PP. 1-5.

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