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