Abstract.Prime numbers differing by 2 are called twin primes. The twin prime conjecture states that the number of twin primes is infinite. Many attempts to prove or disprove this 2300-year old conjecture have failed. The objective of this paper is two-fold. We first tie the twin prime conjecture to complex variable theory. We then look at some of the most recent progress on it.

Received: January 31, 2008

AMS Subject Classification: 11A41

Key Words and Phrases: prime numbers, twin primes, twin prime conjecture, entire functions, order, type, consecutive primes, small gaps between primes

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 47
Issue: 1