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