Objection to proof of ABC conjecture

[VirtualLarry]

https://www.quantamagazine.org/tita...h-over-epic-proof-of-abc-conjecture-20180920/

The math is probably waaay over my head, but it seems there may be an issue with the so-called proof of this conjecture. Sounded interesting to me, maybe Rudy can explain this more for us.

 

[Orange Kid]

The abc conjecture, which Conrad has called “one of the outstanding conjectures in number theory,” starts with one of the simplest equations imaginable: a + b = c. The three numbers a, b and c are supposed to be positive integers, and they are not allowed to share any common prime factors — so, for example, we could consider the equation 8 + 9 = 17, or 5 + 16 = 21, but not 6 + 9 = 15, since 6, 9 and 15 are all divisible by 3.

First, I didn't read any of the papers, but if we don't know all or have a way to predict every prime number, how can this possibly be able to be solved. That is my unknowledgeable simplistic question.

 

[Rudy Toody]

https://www.quantamagazine.org/tita...h-over-epic-proof-of-abc-conjecture-20180920/

The math is probably waaay over my head, but it seems there may be an issue with the so-called proof of this conjecture. Sounded interesting to me, maybe Rudy can explain this more for us.

Few mathematicians have the patience or interest to read hundreds of pages, searching for flaws, especially when new notation is introduced. I'm in that camp.