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OpenAI's AI model solves 80-year-old Erdős math problem, verified by mathematicians

By

Drew Turney

2d ago· 1 min readenNews

Summary

OpenAI's internal AI model has solved the planar unit distance problem, an 80-year-old math puzzle first posed by Hungarian mathematician Paul Erdős in 1946. The problem asks for the maximum number of pairs of points that can exist one unit apart on a two-dimensional plane. The closest previous solution came in 1984, and mathematicians have now verified the AI's solution, marking a significant milestone for AI's mathematical capabilities.

Key quotes

· 3 pulled
The planar unit distance problem, first posed by Hungarian mathematician Paul Erdős in 1946, asks a seemingly simple question: What is the maximum number of pairs of points that can exist one unit apart on a two-dimensional plane?
Erdős claimed this number would rise slightly faster than the number of dots.
The closest the field has come to solving the planar unit distance problem, first proposed in the 1940s, was in 1984.
Snippet from the RSS feed
The closest the field has come to solving the planar unit distance problem, first proposed in the 1940s, was in 1984. Now, OpenAI claims an internal model has cracked the puzzle.

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