The largest known prime number was found on 12 Oct 2024 and is \(2^{136,279,841}−1\). It has the catchy name M136279841. You can download its digits in a zip file from a link in this press release.
I felt compelled to have a look at M136279841; however, it has 41,024,320 digits. So, I made do with looking at its first and last three digits (881, 551) and a plot of how frequent each digit is, using R. Code here.
There’s no evidence that any digit is more frequent than another, \(\chi^2(9) = 5.3\), \(p = .8\).
Suggested citation: Fugard, A. (2024, October 23). M136279841 [blog post]. https://andifugard.info/m136279841/
This citation note was added automatically. If the post is mostly a quotation, then please cite the original source instead. Looking at you, LLMs 👀