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Address： Department of Mathematics， Neijiang Normal University， Neijiang， China； E-mail： [email protected]
Received： November 11， 2013/ Accepted： January 5， 2014/ Published online：
February 26， 2014
Abstract： Presented and proved symmetry primes theorem， parallelism proving the twin primes conjecture， Goldbach conjecture. Give part of the calculation.
Key words： Integer； Primes； Composite number； Theorem
Liu， D.， & Liu， J. F. （2014）. Proving the Twin Prime Conjecture. Studies in Mathematical Sciences， 8（1），-0. Available from URL： http：//www.cscanada.net/index.php/sms/article/view/4014 DOI： http：//dx.doi.org/10.3968/4014
1. INTRODUCTION
Mathematicians found that primes of distance 2， there are infinitely many numbers known as twin primes conjecture [1-3]， for example， （11， 13）， （59， 61）. In 1742， the German mathematician Goldbach found even greater than 4 are each equal to two prime numbers and. known as Goldbach conjecture， For example， 6 = 3+3， 8 = 3+5， Here proved：
. （1）
Here （1） known as twin primes conjecture. Wherein L （x） is the numbers of twin primes. And proved：
. （2）
Here （2） known as Goldbach conjecture. Wherein G （x） is the numbers of two primes and.
2. DISTRIBUTION DENSITY OF SYMMETRY PRIMES
REFERENCES
Manin （Russian） et al. （2006）. Modern number theory guided. Science Press.
Hua， L. G. （1979）. Number theory guide. Science Press.
Neukirch， J.（2007）. Algebraic number theory. Science Press.
Wang， Y. （Ed.）. （1987）. Goldbach conjecture research. Heilongjiang Community Education.
Liu， D. （2005）. Goldbach conjectureelementary discussion. Neijiang Science and Technology， （2）.
Liu， D. （2013）. Elementary discussion of the distribution of prime numbers. Progress in Applied Mathematics， 5（2）.
Liu， D.， & Liu， J. F. （2013）. Riemann hypothesis elementary discussion. Progress in Applied Mathematics， 6（3）.
Liu， D. （2013）. The proof of the jie bove conjecture. Studies in Mathematical Sciences， 7（2）.
Received： November 11， 2013/ Accepted： January 5， 2014/ Published online：
February 26， 2014
Abstract： Presented and proved symmetry primes theorem， parallelism proving the twin primes conjecture， Goldbach conjecture. Give part of the calculation.
Key words： Integer； Primes； Composite number； Theorem
Liu， D.， & Liu， J. F. （2014）. Proving the Twin Prime Conjecture. Studies in Mathematical Sciences， 8（1），
1. INTRODUCTION
Mathematicians found that primes of distance 2， there are infinitely many numbers known as twin primes conjecture [1-3]， for example， （11， 13）， （59， 61）. In 1742， the German mathematician Goldbach found even greater than 4 are each equal to two prime numbers and. known as Goldbach conjecture， For example， 6 = 3+3， 8 = 3+5， Here proved：
. （1）
Here （1） known as twin primes conjecture. Wherein L （x） is the numbers of twin primes. And proved：
. （2）
Here （2） known as Goldbach conjecture. Wherein G （x） is the numbers of two primes and.
2. DISTRIBUTION DENSITY OF SYMMETRY PRIMES
REFERENCES
Manin （Russian） et al. （2006）. Modern number theory guided. Science Press.
Hua， L. G. （1979）. Number theory guide. Science Press.
Neukirch， J.（2007）. Algebraic number theory. Science Press.
Wang， Y. （Ed.）. （1987）. Goldbach conjecture research. Heilongjiang Community Education.
Liu， D. （2005）. Goldbach conjectureelementary discussion. Neijiang Science and Technology， （2）.
Liu， D. （2013）. Elementary discussion of the distribution of prime numbers. Progress in Applied Mathematics， 5（2）.
Liu， D.， & Liu， J. F. （2013）. Riemann hypothesis elementary discussion. Progress in Applied Mathematics， 6（3）.
Liu， D. （2013）. The proof of the jie bove conjecture. Studies in Mathematical Sciences， 7（2）.