Guide Note: The seven Millennium Prize Problems are some of the most important unsolved problems in mathematics. They were named by the Clay Mathematics Institute in the year 2000.

Fast Facts:

1. Classic mathematical problems
2. Solutions sought for years
3. $7 million prize fund for solutions
4. Poincare conjecture solved by Grigori Perelman in 2003
5. Perelman was awarded the Fields Medal (Math analog to Nobel Prize)
6. Perelman declined to accept the Fields medal

The Mahalo Top 7

1. Official Site: Millennium Problems
2. Wikipedia: Millennium Prize Problems
3. Wolfram MathWorld: Unsolved Math Problems (including the Millennium Prize Problems)
4. PlanetMath: Millennium Problems
5. Plus Magazine: How maths can make you rich and famous
6. Society for Industrial and Applied Mathematics: "One Million Bucks for a 100% Solution" (2000)
7. Steklove Institute of Mathematics: "Thoughts on the Millennium Prize Problems" (2007) (65 KB)  

Millennium Prize Problems Recent News

• The New Yorker: "Manifold Destiny - A legendary problem and the battle over who solved it" (2006)
• Telegraph: "World's top maths genius jobless and living with mother" (2006)
• BBC News: Maths genius declines top prize (2006)

Millennium Prize Problems History

• Clay Mathematics Institute: History
• American Mathematical Society: "The Millennium Grand Challenge in Mathematics" (459 KB)  
• Clark University: David Hilbert: Mathematical Problems  

Notable Figures in Millennium Prize Problems

• Wikipedia: Grigori Perelman | Henri Poincare | Bernhard Riemann | David Hilbert
• University of Tennessee: Henri Poincare
• University of St. Andrews: Henri Poincare | Bernhard Riemann | David Hilbert

Millennium Prize Problems Research

Poincare Conjecture - solved

• Clay Mathematics Institute: Poincare Conjecture
• Wikipedia: Poincare Conjecture
• Wolfram MathWorld Poincare Conjecture

Riemann Hypothesis

• Clay Mathematics Institute: Riemann Hypothesis
• Wikipedia: Riemann Hypothesis
• Wolfram MathWorld: Riemann Hypothesis

Hodge Conjecture

• Clay Mathematics Institute: Hodge Conjecture
• Wikipedia: Hodge Conjecture
• Wolfram MathWorld: Hodge Conjecture

Birch and Swinnerton-Dyer Conjecture

• Clay Mathematics Institute: Birch and Swinnerton-Dyer Conjecture
• Wikipedia: Birch and Swinnerton-Dyer Conjecture
• Wolfram MathWorld: Swinnerton-Dyer Conjecture

P-NP Problem

• Clay Mathematics Institute: P vs NP Problem
• Wikipedia: P=NP Problem
• Wolfram MathWorld: P Versus NP Problem

Yang-Mills Theory

• Clay Mathematics Institute: Yang-Mills and Mass Gap
• Wikipedia: Yang–Mills existence and mass gap
• ULB: A Survey of Gauge Theory and Yang-Mills Equation (247 KB)  

Navier-Stokes Equations

• Clay Mathematics Institute: Navier-Stokes Equations
• Wikipedia: Navier-Stokes existence and smoothness
• World of Science: Navier-Stokes Equations

Millennium Prize Problems Photos and Videos

• Google Image Search: Millennium Prize Problems
• Clay Mathematics Institute: Videos of Millennium Event Part 1 | 2 | 3 (Time: 3:00:00)
• YouTube: One Geometry (Time: 4:24)
• YouTube: Life after Poincare (Satire) - Part 1 | 2 (Time: 12:57)  

Millennium Prize Problems Blogs and Forums

• Not Even Wrong: Perelman and the Poincare Conjecture
• My Math: Millennium Prize problem, mystery
• Ken Jennings: You’re the top(ologist)
• Mumble Mumble ... On mashing doughnuts into balls
• Blue Moon: 36 Methods of Mathematical Proof

Millennium Prize Problems Organizations and Societies

• Clay Mathematics Institute
• International Mathematical Union
• American Mathematical Society

Millennium Prize Problems Books, Publications and Products

• Amazon.com Search: Millennium Prize Problems
• Arxiv.org: Perelman's proof
• Shop.com: I Love Grigori Perelman T-Shirt

Millennium Prize Problems Theories

• • Mahalo's guide to the Number Theory
  • Mahalo's guide to Topology
• Wikipedia: Mathematical Physics | Theoretical Computer Science

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