I can't read the full article, but the part that I can see looks interesting.

The article "Mathematicians found – and fixed – an error in a 60-year-old 
proof" by Alex Wilkins, New Scientist,
has the following summary posted by the ACM:
"An error in a proof underlying a widely used branch of modern mathematics was 
accidentally discovered by mathematicians while translating old proofs to a 
computer language in a process called formalization. Recently, Kevin Buzzard at 
Imperial College London and colleagues started to formalize the proof of 
Fermat’s last theorem. The proof employs many different cutting-edge branches 
of mathematics, much of which isn’t yet machine-readable, so these must be 
translated first. While working on the translation, Antoine Chambert-Loir at 
Université Paris Cité encountered an error, which was quickly remediated."

This has long been the argument of Norm (Metamath) & others involved in 
formalization of mathematics - that formalization forces the revelation of 
proof errors long unnoticed.

Summary in ACM Tech News (2024-12-27):
https://technews.acm.org/archives.cfm?fo=2024-12-dec/dec-27-2024.html

Full article:
https://www.newscientist.com/article/2461891-mathematicians-found-and-fixed-an-error-in-a-60-year-old-proof/

--- David A. Wheeler

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