# Will Proving or Disproving of any of the following have effects on Chemistry in general?

I am working on a project relating to- https://en.wikipedia.org/wiki/Millennium_Prize_Problems

I wanted to list the effects of them being proved or disproved in different aspects of science and maths. It was fairly easy to find such results on physics and maths as the questions primarily come up from them however I couldn't find any reference to effects it would have on our understanding of chemistry.

Is it because there will be no effect at all and that they are the least concern to chemists (in terms of applicability) or if there are then what are they?

• To understand just how absurdly far-fetched this may come across, ask yourself the same question: what effect will it have on your life? Say, you get up, brush your teeth, have your breakfast, then BANG! $P\ne NP.$ So what? – Ivan Neretin Sep 19 '19 at 10:25
• I suspect that two problems (p-np and Navier–Stokes existence and smoothness) would have repercussions, in defining some problems as either bounded or unbounded. Guaranteeing that you can find a solution to a certain level of accuracy in a given amount of time is akin to guaranteeing that you will come out winning in a lottery if you buy enough tickets. However I admit to speculating - I am not directly familiar with the problems. – Buck Thorn Sep 19 '19 at 10:49
• @IvanNeretin I know it wouldn't be of any importance to me in my general life but i wanted to know it's impact on a discipline or a field of study such as Chemistry – user78585 Sep 19 '19 at 14:37
• @IvanNeretin I was reading the Code of Conduct for this website. Maybe you might find the Friendly and Unfriendly part helpful :-) chemistry.stackexchange.com/conduct – user78585 Nov 16 '19 at 16:53

• P vs NP, if solved the way that pretty much everybody expects (that is, $$\rm P\ne NP$$), will have no far-reaching consequences, because that's what we were thinking for quite a while now. If it would miraculously happen to be otherwise (that is, $$\rm P=NP$$), that would be quite a shock to many fields, especially to computer science, and by extension, to computational chemistry. But I don't believe in miracles.
• ... and possibly the worst version of $P = NP$, a completely nonconstructive proof of that equality. So then we know that many problems are "easy", but we're ignorant of the easy way. – Eric Towers Sep 19 '19 at 23:55