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This paper is devoted to the theory of prime numbers. In this paper we firstintroduce the notion of a matrix of prime numbers. Then, in order toinvestigate the density of prime numbers in separate rows of the matrix underconsideration, we propose a number of lemmas and theorems that, together withthe Dirichlet and Euler theorems, make it possible to prove the infinity ofprime twins.

Development of the matrix of primes and proof of an infinite number of primes-twins