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Most interesting math problem

  1. Riemann Hypothesis

    16 vote(s)
  2. Hodge Conjecture

    1 vote(s)
  3. P v NP

    6 vote(s)
  4. Navier-Strokes Equations

    4 vote(s)
  5. Birch and Swinnerton-Dyer Conjecture

    0 vote(s)
  6. Yang-mills theory

    2 vote(s)
  7. Poincaré Conjecture (PROVED)

    3 vote(s)
  1. Feb 19, 2008 #1
    Out of the millennium prize problems, what one do you think is the most interesting/important?
  2. jcsd
  3. Feb 19, 2008 #2


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    I think the Riemann hypothesis, but P = NP is a close second.
  4. Feb 19, 2008 #3
    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.
  5. Feb 19, 2008 #4


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    I don't know or understand many of them. I can't really vote on which is interesting.
  6. Feb 19, 2008 #5
    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.
  7. Feb 19, 2008 #6
    I personally think that yang-mills theory is the interesting, but on a purely mathematical side i think the poincaré conjecture was also interesting
  8. Feb 20, 2008 #7
    I think PvsNP is the most likely problem to inspire new mathematics.
  9. Feb 20, 2008 #8
    It is also interesting from a practical point of view since all e commerce depends it being true (RSA public key encryption)
  10. Feb 23, 2008 #9
    riemann hypothesis, no mathematician can deny this.
  11. Feb 23, 2008 #10
    What about the hodge conjecture?

    Which one of these millennium problems is the hardest one? From Hardest to Easiest?
  12. Feb 23, 2008 #11
    How does one rank the difficulty of unsolved problems?
  13. Feb 23, 2008 #12
    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.
    Last edited: Feb 23, 2008
  14. Feb 23, 2008 #13
    The mathematics which described Fermat's last theorem looked simple but yet the math used to solve it was not simple.
  15. Feb 23, 2008 #14
    touché, then in that matter, list it in order of most important/interesting. Also, how important/hard do you reckon the hodge conjecture is?

  16. Feb 23, 2008 #15
    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!
  17. Feb 24, 2008 #16

    Gib Z

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    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.
  18. Feb 24, 2008 #17
    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."
  19. Feb 25, 2008 #18
    the riemann hypothesis can eat the P versus NP
  20. Mar 1, 2008 #19
    Good luck explaining the importance of RH to anyone who's not well versed in math. It is much easier to do so for P vs NP.
  21. Mar 1, 2008 #20
    my question is why there isnt even one foundational (i.e metamathemtical) open problem worthy of claymath's money?
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