Date of Award

8-1-2015

Degree Name

Master of Science

Department

Mathematics

First Advisor

McSorley, John

Abstract

The Twin Primes Conjecture (TPC) is one of the oldest, unsolved problems in math- ematics. This paper introduces a function which acts as a sieve, eliminating all possible places where twin primes cannot occur in the natural numbers, N. With this function, we, then, analyze its range and form a combinatorial argument to count the number of twin prime pairs.

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