Millennium Prize Problems - Quiz
  • 1. Who selected the Millennium Prize Problems?
A) Collège de France
B) Clay Mathematics Institute
C) American Mathematical Society
D) OpenAI
  • 2. In what year were the Millennium Prize Problems selected?
A) 1990
B) 2010
C) 2002
D) 2000
  • 3. What is the prize amount for the first correct solution to each Millennium Prize Problem?
A) Five hundred thousand US dollars
B) One hundred thousand US dollars
C) One million US dollars
D) Two million US dollars
  • 4. How many problems comprise the Millennium Prize Problems?
A) Twenty-three
B) Ten
C) Five
D) Seven
  • 5. Where was the Millennium Meeting held on May 24, 2000?
A) Collège de France
B) Moscow State University
C) OpenAI Headquarters
D) University of Cambridge
  • 6. Which of the following is one of the Millennium Prize Problems?
A) Collatz conjecture
B) Goldbach's conjecture
C) Fermat's Last Theorem
D) Poincaré conjecture
  • 7. Who was awarded the monetary prize for solving the Poincaré conjecture?
A) Grigori Perelman
B) Richard S. Hamilton
C) Michael Atiyah
D) John Tate
  • 8. In what year did the Clay Institute award the monetary prize for the Poincaré conjecture?
A) 2026
B) 2010
C) 2000
D) 2003
  • 9. Why did Grigori Perelman decline the award?
A) He believed the proof was incomplete
B) It was not also offered to Richard S. Hamilton
C) He felt the prize money was too low
D) He did not like the Clay Institute
  • 10. Which company presented a proposed counterexample to the Navier–Stokes problem in September 2026?
A) OpenAI
B) IBM
C) Microsoft
D) Google
  • 11. What problem did OpenAI claim to have a proposed counterexample for in 2026?
A) Birch and Swinnerton-Dyer conjecture
B) P versus NP problem
C) Yang–Mills existence and mass gap
D) Navier–Stokes existence and smoothness
  • 12. What is the minimum waiting period before the Clay Institute considers proposed solutions to Millennium Prize problems after publication?
A) At least five years
B) At least ten years
C) At least one year
D) At least two years
  • 13. Which mathematician organized a set of twenty-three problems in 1900 that inspired the Clay Institute?
A) John Tate
B) Michael Atiyah
C) David Hilbert
D) Anatoly Vershik
  • 14. Who officially announced the seven Millennium Prize problems during the Paris ceremony?
A) Grigori Perelman and Richard S. Hamilton
B) David Hilbert and Shing-Tung Yau
C) John Tate and Michael Atiyah
D) Andrew Wiles and Alain Connes
  • 15. When were Perelman's proofs regarding the Poincaré conjecture released?
A) 2000 and 2001
B) 2025 and 2026
C) 2009 and 2010
D) 2002 and 2003
  • 16. Who hoped that the prize money would popularize the excitement of mathematical endeavor among general audiences?
A) Shing-Tung Yau
B) Grigori Perelman
C) Anatoly Vershik
D) Andrew Wiles
  • 17. Which board member hoped to combat the public idea that mathematics would be overtaken by computers?
A) Andrew Wiles
B) David Hilbert
C) John Tate
D) Alain Connes
  • 18. Who characterized the monetary prize as 'show business' representing 'worst manifestations of present-day mass culture'?
A) Anatoly Vershik
B) Andrew Wiles
C) Alain Connes
D) Michael Atiyah
  • 19. Which aspect of the Clay Institute did Anatoly Vershik praise?
A) The media coverage of Grigori Perelman
B) The one million dollar prize per problem
C) Direct funding of research conferences and young researchers
D) The choice of naming the problems after a foundation
  • 20. Who echoed Anatoly Vershik's critical comments regarding foundations appropriating fundamental mathematical questions?
A) Richard S. Hamilton
B) David Hilbert
C) Shing-Tung Yau
D) John Tate
  • 21. On whose work did Grigori Perelman build when working on the Poincaré conjecture?
A) David Hilbert
B) Alain Connes
C) Richard S. Hamilton
D) Michael Atiyah
  • 22. Does the Clay Mathematics Institute accept direct submissions of proposed solutions?
A) Yes, through an online portal
B) Yes, via physical mail
C) No
D) Yes, via email
  • 23. What is required before a solution can be considered for a Millennium Prize besides general acceptance?
A) It must have been published in a qualifying outlet
B) It must be presented at the Collège de France
C) It must be submitted directly to the Clay Institute
D) It must be endorsed by OpenAI
  • 24. How many problems were in David Hilbert's influential set of problems from 1900?
A) Ten
B) Twenty-three
C) Seven
D) One hundred
  • 25. In which mathematical field is a two-dimensional sphere characterized as the only closed and simply connected two-dimensional surface?
A) Geometric topology
B) Riemannian geometry
C) Differential calculus
D) Algebraic topology
  • 26. According to the Poincaré conjecture, any three-dimensional topological manifold that is closed and simply-connected must be homeomorphic to what?
A) The 3-sphere
B) A two-dimensional sphere
C) A smooth manifold
D) A Ricci flow
  • 27. In what decade was it discovered that the Poincaré conjecture is equivalent when posed in the context of smooth manifolds and diffeomorphisms?
A) The 2000s
B) The 1950s
C) The 1900s
D) The 1970s
  • 28. In which mathematical field is the Ricci flow defined?
A) Algebraic geometry
B) Number theory
C) Riemannian geometry
D) Geometric topology
  • 29. What prize was awarded to Grigori Perelman in 2006 for his contributions to the theory of Ricci flow?
A) The Abel Prize
B) The Millennium Prize
C) The Fields Medal
D) The Nobel Prize
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