2016•viXraRequires access

There Really Are an Infinite Number of Twin Primes, and Other Thoughts on the Distribution of Primes.

Jared Beal

Abstract

This paper describes an algorithm for finding all the prime numbers. It also describes how this pattern among primes can be used to show the ratio of primes to not primes in an infinite set of X integers. It can also be used to show that the ratio of twin primes to not twin primes in an infinite set of X integers is always going to be greater than zero.

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Available abstract

Key concepts: Twin prime, Mathematics, Unique prime, Number theory, Prime number, Set (abstract data type), Zero (linguistics), Prime (order theory)