# Probabilistic method of proving twin primes' infinitude

## TL;DR

This paper introduces a probabilistic approach to demonstrate the infinite occurrence of twin primes, utilizing statistical and combinatorial methods to estimate their distribution.

## Contribution

A novel probabilistic method is proposed to prove the infinitude of twin primes, combining statistical distribution analysis with combinatorial techniques.

## Key findings

- Estimated distribution of primes in arithmetic progressions
- Calculated the number of twin primes within intervals
- Proposed a new method for proving twin primes' infinitude

## Abstract

Statistical distribution of the primes in an arithmetic progression is considered. The estimation of prime numbers is given and combinatorial methods are used to calculate the twin primes on the available interval. The distribution and estimation of the number of primes on the twin primes rows are obtained. A new method of twin prime infinity is proposed.