The transcript explores Goldbach’s conjecture, the simple-looking claim that every even number greater than 2 can be written ...
Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...
The best-yet test of artificial intelligence’s mathematical mettle has released its first official round of results. The verdict is that large language models (LLMs) are emerging as useful—albeit ...
Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...
Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...
For generations, mathematicians have tried and failed to solve an 80-year-old problem. In May, an artificial intelligence (AI) model successfully tackled it. OpenAI, the maker of ChatGPT, said one of ...
Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...
Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics. Reading time 10 minutes Will ...
In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...
Richard Feynman described a decision-making problem and its solution in handwritten notes, but the meaning of the notes has been a mystery for almost 50 y. We decipher the problem and solution from ...
OpenAI's AI model solved the unit distance problem posed by Paul Erdos in 1946 The AI found a counterexample disproving Erdos's conjecture on unit-distance pairs The solution shows unit-distance pairs ...
AI has solved a long-standing open geometry problem dating back to 1946, The New York Times reports. Scientists say the technology was able to accomplish this feat because it took an unconventional ...