Millennium Prize Problems
Also written: Erdős problems, Millennium Problems
Seven math problems with a $1 million prize each for a correct solution, designated by the Clay Mathematics Institute.
The Millennium Prize Problems are seven difficult mathematical questions. The Clay Mathematics Institute announced them in 2000. Solving any one of them comes with a $1 million reward.
Only one problem, the Poincaré Conjecture, has been solved so far. The others remain open challenges for mathematicians. Recently, there have been claims that AI models might be able to help solve these complex problems.
The Millennium Prize Problems are a set of seven fundamental mathematical challenges identified by the Clay Mathematics Institute in 2000. Each problem carries a $1 million prize for a correct solution. These problems represent some of the most difficult and important unsolved questions in mathematics, spanning various fields like number theory, topology, and analysis.
As of late 2026, only the Poincaré Conjecture has been proven. The recent focus on these problems by frontier AI labs highlights the potential for advanced AI systems to contribute to or even achieve breakthroughs in theoretical mathematics, a domain previously considered exclusively human.
Frontier AI labs are reportedly tackling some of the most difficult mathematical problems, including those designated as Millennium Prize Problems. This surge in activity suggests AI may be advancing to a point where it can contribute to or even solve highly abstract and complex mathematical challenges, a development that has generated both excitement and concern within the mathematical community.
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- OpenAI ChatGPT
- OpenAI is reportedly close to solving a Millennium Prize Problem, with claims of using advanced internal models to solve a $1 million math problem, sparking debate about its research methods and intellectual property.
- P versus NP problem
- This is one of the Millennium Prize Problems, asking if eve
- Navier-Stokes existence and smoothness
- This is another Millennium Prize Problem
- Clay Mathematics Institute
- This is the organization that designated the Millenn
The Millennium Prize Problems were announced by the Clay Mathematics Institute in 2000 as a list of seven important unsolved problems in mathematics. The goal was to stimulate research and recognize significant achievements. Source ↗
While you cannot directly attempt to solve a Millennium Prize Problem in five minutes, you can explore the mathematics behind them. Use a tool like ChatGPT or Google Gemini to ask for a simplified explanation of one of the problems, such as the Riemann Hypothesis or the P versus NP problem. Then, ask the AI to provide a simple example related to the concept.
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Questions people ask
- How many Millennium Prize Problems are there?
- There are seven Millennium Prize Problems in total, designated by the Clay Mathematics Institute.
- What is the prize for solving a Millennium Prize Problem?
- Each problem carries a prize of $1 million for its correct solution.
- Has any Millennium Prize Problem been solved?
- Yes, the Poincaré Conjecture was solved by Grigori Perelman, though he declined the prize.
First seen on Subvolts Apr 28, 2026. Updated Oct 5, 2026. Written by an AI model from the items above and reviewed against them weekly; report an error.