IJPAM: Volume 47, No. 1 (2008)
Department of Mathematics
Faculty of Science-1
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