If you prove the abc conjecture, it enables you to solve a bunch of other number theory problems, because abc implies that these other problems have a finite number of possible cases, and you can brute force it from there.
But this guy’s methods are so unfamiliar to other mathematicians, they can’t follow the reasoning he used to prove abc.
Bkmrk
Thank you Muddog, now I understand what the article is about and it’s importance.