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[parent] famous open questions in mathematics (Example)

Despite the fact that at least a generation of mathematicians has tried to solve these problems, they still remain open:

  1. Goldbach conjecture
  2. Twin prime conjecture
  3. Poincaré conjecture
  4. Riemann Hypothesis
  5. Birch and Swinnerton-Dyer conjecture
  6. P vs NP problem
  7. Hodge conjecture
  8. Solution to the Navier-Stokes equations
  9. Collatz problem
  10. Schanuel's conjecture
  11. Beal conjecture
  12. Irrationality of Euler's constant $ \gamma$
  13. Existence of an odd perfect number
  14. Koethe conjecture
  15. Invariant subspace problem
  16. Lehmer's conjecture

Open problems 3 to 8, together with the quest for a mathematical foundation explaining the mass gap property in Yang-Mills theory, constitute a collection of problems known as the Millennium Problems. Please see http://www.claymath.org/millennium/ for more detail.



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See Also: two-generator property, Millennium Problems


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Cross-references: Millennium Problems, collection, theory, property, mass, mathematical foundation, open problems, Lehmer's conjecture, invariant subspace problem, Koethe conjecture, perfect number, odd, Euler's constant, Beal conjecture, Schanuel's conjecture, Collatz problem, equations, solution, conjecture, Birch and Swinnerton-Dyer conjecture, Riemann hypothesis, Poincaré conjecture, twin prime conjecture, Goldbach conjecture, open

This is version 10 of famous open questions in mathematics, born on 2004-10-09, modified 2008-02-26.
Object id is 6336, canonical name is FamousAndInfamousOpenQuestionsInMathematics.
Accessed 2756 times total.

Classification:
AMS MSC00A20 (General :: General and miscellaneous specific topics :: Dictionaries and other general reference works)

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