Jameson said:Did you guys hear about this? Sudharaka was kind of enough to let me know about this potential proof. http://news.sciencemag.org/sciencenow/2012/09/abc-conjecture.html?ref=hp an article about it. Apparently the proof is around 500 pages long so obviously the claim hasn't been confirmed yet and will take a while for the math community to comment on.
The ABC conjecture is a mathematical conjecture in number theory that relates to the relationship between the three integers a, b, and c in the equation a + b = c. It states that if a, b, and c are coprime (share no common factors), then the product of the distinct prime factors of abc is always greater than c.
No, the ABC conjecture has not been proven. It is still an open problem in mathematics and has been one of the most famous unsolved problems in number theory since its formulation in 1985.
The recent news about the ABC Conjecture Proof refers to a 500-page claim by mathematician Shinichi Mochizuki that he has found a proof for the conjecture. If the proof is verified, it would be a groundbreaking achievement in mathematics and could potentially lead to advancements in other fields.
Shinichi Mochizuki is a Japanese mathematician who is known for his work in number theory and algebraic geometry. He is the creator of the Inter-Universal Teichmüller Theory (IUT), which is the framework used in his proposed proof of the ABC conjecture.
The ABC Conjecture Proof has received mixed reactions from the scientific community. While some mathematicians are cautiously optimistic and are working to verify the proof, others are skeptical and believe that the proof is too complex and difficult to understand. The process of verifying the proof is still ongoing.