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.

References

[ 1 ]	Zhu RongRong, Differential Incremental Equilibrium Theory, Fudan University,Vol 1, 2007:1-213
[ 2 ]	Zhu RongRong, Differential Incremental Equilibrium Theory, Fudan University,Vol 2, 2008:1-352
[ 3 ]	Liu zhuanghu, Simplicity Set Theory, Beijing China ,Peking University Press，2001.11: 1-310
[ 4 ]	Xie bangjie, Transfinite Number and Theory of Transfinite Number, Jilin China, jilin people's publishing house,1979.01:1-140
[ 5 ]	Nan chaoxun , Set Valued Mapping , Anhui China, Anhui University Press , 2003.04: 1-199
[ 6 ]	Li hongyan, On some Compactness and Separability in Fuzzy Topology, Chengdu China,,Southwest Jiaotong University Press, 2015.06：1-150
[ 7 ]	Bao zhiqiang , An introduction to Point Set Topology and Algebraic Topology, Beijing China , Peking University Press, 2013.09:1-284
[ 8 ]	Gao hongya, Zhu yuming , Quasiregular Mapping and A-harmonic Equation, Beijing China , Science Press, 2013.03：1-218
[ 9 ]	C. Rogers W. K. Schief, Bäcklund and Darboux Transformations: Geometry and Modern Applications in Solition Theory, first published by Cambridge University, 2015: 1-292.
[ 10 ]	Chen Zhonghu, Lie group guidance, Higher Education Press, 1997: 1-334.
[ 11 ]	Ding Peizhu,Wang Yi, Group and its Express, Higher Education Press, 1999: 1-468.
[ 12 ]	E. M. Chirka, Complex Analytic Sets Mathematics and Its Applications, Kluwer Academic Publishers Gerald Karp, Cell and Molecular Biology: Concepts and Experiments (3e), Higher Education Press, 2005: 1-792.
[ 13 ]	Gong Sheng, Harmonic Analysis on Typical Groups Monographs on pure mathematics and Applied Mathematics Number twelfth, Beijing China, Science Press, 1983: 1-314.
[ 14 ]	Gu chaohao, Hu Hesheng, Zhou Zixiang, DarBoux Transformation in Solition Theory and Its Geometric Applications (The second edition), Shanghai science and technology Press, 1999, 2005: 1-271.
[ 15 ]	Jari Kaipio Erkki Somersalo, Statistical and Computational Inverse Problems With 102 Figures, Spinger.
[ 16 ]	Numerical Treatment of Multi-Scale Problems Porceedings of the 13th GAMM-Seminar, Kiel, January 24-26, 1997 Notes on Numerical Fluid Mechanics Volume 70 Edited By WolfGang HackBusch and Gabriel Wittum.
[ 17 ]	Qiu Chengtong, Sun Licha, Differential Geometry Monographs on pure mathematics and Applied Mathematics Number eighteenth, Beijing China, Science Press, 1988: 1-403.
[ 18 ]	Ren Fuyao, Complex Analytic Dynamic System, Shanghai China, Fudan University Press, 1996: 1-364.
[ 19 ]	Su Jingcun, Topology of Manifold, Wuhan China, wuhan university press, 2005: 1-708.
[ 20 ]	W. Miller, Symmetry Group and Its Application, Beijing China, Science Press, 1981: 1-486.
[ 21 ]	Wu Chuanxi, Li Guanghan, Submanifold geometry, Beijing China, Science Press, 2002: 1-217.
[ 22 ]	Xiao Gang, Fibrosis of Algebraic Surfaces, Shanghai China, Shanghai science and technology Press, 1992: 1-180.
[ 23 ]	Zhang Wenxiu, Qiu Guofang, Uncertain Decision Making Based on Rough Sets, Beijing China, tsinghua university press, 2005: 1-255.
[ 24 ]	Zheng jianhua, Meromorphic Functional Dynamics System, Beijing China, tsinghua university press, 2006: 1-413.
[ 25 ]	Zheng Weiwei, Complex Variable Function and Integral Transform, Northwest Industrial University Press, 2011: 1-396.
[ 26 ]	ЛaBpHTЪeB M. A., ⅢaбaT Б. B., Methods of Function of a Complex Variable Originally published in Russian under the title, 1956, 2006: 1-287.