Submission + - An Amateur just Solved a 60-year-old Math Problem—by Asking AI (scientificamerican.com)
The new solution that Price got in response to a single prompt to GPT-5.4 Pro and posted on www.erdosproblems.com, a website devoted to the Erds problems.
The question Price solved—or prompted ChatGPT to solve—concerns special sets of whole numbers, where no number in the set can be evenly divided by any other. Erds called these “primitive sets” because of their connection to similarly indivisible prime numbers.Price wasn’t aware of this history when he entered the problem into ChatGPT.
Price sent it to his occasional collaborator Kevin Barreto, a second-year undergraduate in mathematics at the University of Cambridge. The duo had jump-started the AI-for-Erds craze late last year by prompting a free version of ChatGPT with open problems chosen at random from the Erds problems website. Reviewing Price’s message, Barreto realized what they had was special, and experts whom he notified quickly took notice.