No, it isn’t “quite literally a millenium prize problem”. The problem definition is at https://www.claymath.org/sites/default/files/navierstokes.pd.... This is related to what I mentioned in passing when I referred to theorems about singularities. You could solve this problem and collect the million bucks and still not have “solved turbulence”. Of course, there is no universal agreement about what solving turbulence means, exactly.
EDIT: But most would agree that it would involve constructing solutions to the NS equations that describe turbulence. You could solve the millennium problem by proving that smooth solutions exist, but still not show how to construct any. So it would be of theoretical interest but do nothing to handle the problems of turbulence.