Author(s)

S. N. Baibekov, A. A. Durmagambetov

L.N. Gumilyov Eurasian National University, Astana, Kazakhstan.

This work is devoted to the theory of prime numbers. Firstly it introduced the concept of matrix primes, which can help to generate a sequence of prime numbers. Then it proposed a number of theorems, which together with theorem of Dirichlet, Siegel and Euler allow to prove the infinity of twin primes.

Prime Numbers, Twin Primes, Composite Numbers, Natural Numbers, Algorithms, Arithmetic Progression, Prime Numbers Matrix, Special Factorial, Generation of Prime Numbers

Baibekov, S. and Durmagambetov, A. (2016) Infinite Number of Twin Primes. Advances in Pure Mathematics, 6, 954-971. doi: 10.4236/apm.2016.613073.