First of all you have to understand that when something is not solved, it's in human nature to try to find a way to solve it, that said, it is also hard to know the implications of a new discovery/demonstration.

That said, prime numbers are a very important and discussed topic in math, they also have high implications on computer systems since prime numbers are at the core of many secure systems' implementations.

So, when we know something new about primer numbers, new doors may open concerning the generation of prime numbers or the detection of prime numbers, basically it's just that a small step in knowledge, let's see where it takes us.