Hacker News·4 min read·hard

Theo Conjecture solves 35-year-old math problem, finds a term no one predicted

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Theo Conjecture solves 35-year-old math problem, finds a term no one predicted
AI Summary

Mathematicians have discovered a surprising connection between prime numbers and graph theory, specifically regarding independent sets in graphs of integers. This finding provides a new way to calculate properties of prime numbers using graph structure.

Here's the picture to hold in your head. Take the integers from 2 through 30 and draw each one as a dot. Draw a line between two dots whenever the numbers share a factor greater than one. So 6 connects to 10, since both are divisible by 2, and 15 connects to 25, since both are divisible by 5.

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