Most interesting math problem

kurt.physics

Out of the millennium prize problems, what one do you think is the most interesting/important?

CRGreathouse

I think the Riemann hypothesis, but P = NP is a close second.

MathematicalPhysicist

I hope stokes doesnt get any strokes from this (well he can't, he must be dead), but i voted for RH, although possibly because it's the most popular one.

JasonRox

I don't know or understand many of them. I can't really vote on which is interesting.

John Creighto

Why not? I think the existence of turbulence on multiple scales is neat. Other interesting questions that arise from it is the idea of deterministic chaos.

kurt.physics

I personally think that yang-mills theory is the interesting, but on a purely mathematical side i think the poincaré conjecture was also interesting

Dragonfall

I think PvsNP is the most likely problem to inspire new mathematics.

wildman

It is also interesting from a practical point of view since all e commerce depends it being true (RSA public key encryption)

mathis314

riemann hypothesis, no mathematician can deny this.

kurt.physics

What about the hodge conjecture?

Which one of these millennium problems is the hardest one? From Hardest to Easiest?

d_leet

How does one rank the difficulty of unsolved problems?

kurt.physics

One does this by looking at what one has to do and the level of this mathematics. For example, hodge conjecture is from algebraic geometry, riemann hypothesis is from number theory, Yang-mills is a combination of quite alot and some of the mathematics does not exist, so that might rank more difficult because there is a very vague starting point.

John Creighto

The mathematics which described Fermat's last theorem looked simple but yet the math used to solve it was not simple.

kurt.physics

touché, then in that matter, list it in order of most important/interesting. Also, how important/hard do you reckon the hodge conjecture is?

andytoh

Without question the Riemann Hypothesis, especially considering all the useful results and theorems have been established provided that the Riemann Hypothesis is in fact true!

Gib Z

It is so stupid about how we all talk about these problems, pretending to ourselves we any idea what they really mean. The Riemann Hypothesis is the most famous and easiest to understand/state out of the problems (of course, just because the problem is easy to understand doesn't mean its easy to prove). Believe it or not, but the other problems are lead to interesting results.

PowerIso

I enjoy the P vs NP. Doing graph theory lately, and P vs NP comes up rather often and we naturally assume it's true, or as my professor says, "well, most of us feel it's P NP but hey who knows I can be teaching you bs for all you'll know."