A number so large it brings us to the edge of mathematics

We’re brushing up against the edge of mathematics with the uncovering of a number so large it’s hard to even describe. Busy Beaver numbers are used to describe the longest possible run-times of ‘Turing machines’ - a theoretical model of computation conceived by Alan Turing. These numbers are surprisingly hard to figure out. But after uncovering the fifth Busy Beaver number in 2021, an online community of mathematicians now thinks they’ve figured out the sixth number - and it’s beyond massive. What does this mean for the nature of mathematics? Hosted by Rowan Hooper and Penny Sarchet, with guests Michael Le Page and Jacob Aron. Hear the full episode at: https://www.newscientist.com/podcasts – Subscribe ➤ https://bit.ly/NSYTSUBS Get more from New Scientist: Official website: https://bit.ly/NSYTHP Facebook: https://bit.ly/NSYTFB Twitter: https://bit.ly/NSYTTW Instagram: https://bit.ly/NSYTINSTA LinkedIn: https://bit.ly/NSYTLIN About New Scientist: New Scientist was founded in 1956 for “all those interested in scientific discovery and its social consequences”. Today our website, videos, newsletters, app, podcast and print magazine cover the world’s most important, exciting and entertaining science news as well as asking the big-picture questions about life, the universe, and what it means to be human. New Scientist https://www.newscientist.com/