Date: May 16, 2013 12:03 PM
Author: Sam Wormley
Subject: First Proof That Infinitely Many Prime Numbers Come in Pairs
First Proof That Infinitely Many Prime Numbers Come in Pairs

> http://www.scientificamerican.com/article.cfm?id=first-proof-that-infinite-many-prime-numbers-come-in-pairs

> That goal is the proof to a conjecture concerning prime numbers.

> Those are the whole numbers that are divisible only by one and

> themselves. Primes abound among smaller numbers, but they become less

> and less frequent as one goes towards larger numbers. In fact, the

> gap between each prime and the next becomes larger and larger ? on

> average. But exceptions exist: the ?twin primes?, which are pairs of

> prime numbers that differ in value by 2. Examples of known twin

> primes are 3 and 5, or 17 and 19, or 2,003,663,613 × 2^195,000 ? 1 and

> 2,003,663,613 × 2^195,000 + 1.

>

> The twin prime conjecture says that there is an infinite number of

> such twin pairs. Some attribute the conjecture to the Greek

> mathematician Euclid of Alexandria, which would make it one of the

> oldest open problems in mathematics.