Does P = NP?

I like socks.
26537-Gray-Programming-Code-Mens-Everyday-Premium-Socks-Statement-Sockwear01.jpg

These are the socks I wear when I do computer stuff. They make me look like a super cute hacker (or, as my friends say on the internet; Le Kawaii H4xx0r!)

But enough about my credentials.

N could = 1...
Yes, if it was a simple algebraic equation, but I don't think NP means N*P.

I believe P means "polynomial time" - as in, a problem that can be solved in a reasonably efficient number of steps - and NP means "nondeterministic polynomial time" - as in, a problem whose solution is not currently know, but whose answer (once attained by, for example, a hypothetical, nondeterministic computer) can be verified in polynomial time. Both of these are sets of problems, not a specific problem (so proving one instance of NP is P would not, in and of itself, be sufficient to show N=NP) , and the N in NP is not a separate variable, but just part of the way we choose to identify that particular set (so N will not equal 1, such that P=1P)

But this stuff isn't covered on my sock, so how the fuck should I know?!

Go ask that Indian guy, the one who keeps staring at me; he likes all that brainy math stuff. I've got a speedrun tournament to practice for, and I can't help you solve fundamental issues in computer science.
 
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No, and I have discovered a truly marvellous demonstration of this proposition that this margin is too narrow to contain.
 
Both of these are sets of problems, not a specific problem (so proving one instance of NP is P would not, in and of itself, be sufficient to show N=NP)
That is not quite right. If you can show that one NP-hard problem in NP is also in P, you have proven P=NP.

So you have to find some really clever algorithm that solves such a problem in polynomial time.
Or prove that such an algorithm can not possibly exist to proof P /= NP.
 
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