Twin Primes (Conjecture)

First, what are twin primes?

Prime numbers are numbers that have only two factors, itself and one.  

Twin primes are two prime numbers that have a gap of two. For example, 3 and 5. The twin primes from   1-100:

As you can see, the gap between twin primes becomes larger and larger. This pattern continues as the numbers get larger. The primes are more infrequent.

The twin prime conjecture states that there are an infinite number a twin primes. Although it seems obvious, like the Goldbach conjecture, it is very hard to prove.
An advancement was made by a Chinese mathematician who was previously unknown. He turned in a paper proving that the distance between primes is not infinity but less than 70 million. Yitang Zhang was what seemed like, a retired mathematician who was far from all the action. He used work from predecessors in advancement of knowledge of primes to help his own work.
Mathematicians are working on narrowing the gap down to two.

Next time: the ABC conjecture.