**Category:**

Research Papers

**Sub-Category:**

Mathematics and Applied Mathematics

**Date Published:**

April 26, 2017

**Abstract:**

Prime numbers are subject to greater attention for mathematicians, both professional and amateur, since people began to explore the properties of numbers and consider them to be fascinating. For example, already Euclid showed that primes are infinite. However, some important properties of prime numbers are not yet well understood. The prime numbers bothered by centuries of interesting thinkers. First, prime numbers appear to be randomly distributed among the natural numbers with no other rights as a probability. On the other hand, the distribution of primes global reveals a very smooth consistency. This combination of randomness and regularity motivated me to search for patterns in the distribution of prime numbers, which in the end may shed light on their final character. In writing this book, I wanted to make a synthesis, what about the theory of prime numbers is already known and to show it as a field in which systematically examines the natural problems of number theory as a whole. I hope that all lovers of mathematics will feel happy when they read these pages.

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