Today I have found that the Chinese mathematician Yitang Zhang has proven in 2013 that the sequence $d_n=p_{n+1}-p_n$ where $p_n$ is the $n$th prime has a finite inferior limit (and in fact, lesser than 70 millions).
I'm only a High School teacher, so I have not access to the article. I'm pretty sure that I can't understand it, but in any case I want to try.
Has anybody here read it? How dificult to read is this article?
You should go on Terence Tao's homepage, where you will find two recent preprints/articles by himself and other people which improve upon Zhang's result (the new lower bound is much smaller), as well as an account on the "state of the art".