In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...
The Pythagorean theorem is usually taught as the brainchild of one Greek philosopher: Pythagoras. It’s one of the simplest, most elegant, and most important theorems in all of mathematics. But ...
For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the ...
Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...
Then it’s kind of a mystery to try to figure out why and how they’re related.” The Riemann hypothesis has proved to be a font of surprising connections all over math and beyond it, to the realm of the ...
P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...
Physicist Richard Feynman turned a lunch dilemma into a math problem. Researchers finally cracked his notes and found people ...
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.
Among the many internet trends people tend to gravitate towards, difficult, nonsensical, or ridiculous math problems receive a load of attention. But sometimes, things aren't what they appear to be.
The puzzle poses a deceptively simple question that boils down to: How many pairs of dots on a piece of paper can be the same ...
Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) ...
In 1946, the mathematician Paul Erdős posed the unit distance problem—and suggested a winning strategy. An A.I. model has now ...