A.I.’s First Big Math Breakthrough Is Not What It Seems

Last month, OpenAI announced that its latest version of ChatGPT had solved a major math problem, one that had stumped experts ...
Scientific Research Publishing

Steiner, R.P. (1977) A Theorem on the Syracuse Problem. In Proceedings of the 7th Manitoba Conference on Numerical Mathematics, Vol. 29, Utilitas Mathematica Pub., Winnipeg, MB ...

ABSTRACT: The aim of this paper is to study the 3x + 1 problem based on the Collatz iterative formula. It can be seen from the iterative formula that the necessary condition for the Collatz iteration ...
Science News

AI cracked an Erdős math problem. Now experts want guardrails

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 ...
Smithsonian Magazine

Mathematicians Puzzled Over a Famous Problem for 80 Years. Now, They’ve Used A.I. to Identify a Clever Solution

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 ...