I was reading some questions about prime numbers posted in latest days and a question came to my mind:
What is the state of art of the research into prime numbers distribution?
I read then several other questions (this, this or this for example), all interesting but no one really fitting: is there any recent new from researchers in this field? Any milestone or breakthrough discovery related to it in the latest few years?
Is approach to this open problem changing in time? Thanks to somebody in particular?
On one side I do not check regularly such high topics, on the other I seriously risk not to understand properly some of what I ask. This was meant to be a sort of soft question, hope it's on topic. Any links to (soft or not) dissertations over the recent evolution of this study is welcome.