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American Focus > Blog > Tech and Science > The Millennium Problems: What 7 fiendishly hard puzzles tell us about the nature of mathematics
Tech and Science

The Millennium Problems: What 7 fiendishly hard puzzles tell us about the nature of mathematics

Last updated: May 6, 2025 8:25 pm
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The Millennium Problems: What 7 fiendishly hard puzzles tell us about the nature of mathematics
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The Millennium Problems: A Look Back at 25 Years of Mathematical Challenges

New Scientist. Science news and long reads from expert journalists, covering developments in science, technology, health and the environment on the website and the magazine.

How times have changed since the year 2000. In that year, there were a billion fewer people living on the planet. The International Space Station hadn’t yet housed any resident astronauts. Brad Pitt and Jennifer Aniston were in love and got married.

On 24 May that year, a group of mathematicians gathered in Paris to present the seven Millennium Problems. These challenges, deemed the hardest mathematical puzzles at the time, were set by the Clay Mathematics Institute. The institute offered a $1 million prize to anyone who could solve one of these problems.

Fast forward 25 years, and only one of the Millennium Problems has been solved. While this may seem like slow progress, it sheds light on the complexity and depth of modern mathematics. The journey to solving these problems has been a testament to the perseverance and ingenuity of mathematicians.

Looking ahead, the integration of machine learning in mathematics holds promise for tackling these challenges in new ways. The intersection of artificial intelligence and mathematical problem-solving is set to revolutionize the field and propel us towards finding solutions to the remaining Millennium Problems.

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