Most people look at the famous Collatz Conjecture (the $3x+1$ problem) strictly through the lens of pure mathematics using whole positive integers. I wanted to look at it differently: What happens if ...

A computer language created to spot errors in mathematical theorems has uncovered a fundamental error in a widely cited physics paper for the first time. The ...

This project builds on the findings of Charton and Narayanan (2024), "Transformers know more than they can tell: Learning the Collatz sequence", which showed that transformers trained on the long ...