- #1
phospho said:More related links if anyone is interested: http://mathoverflow.net/questions/1...ochizuki-pursued-when-trying-to-prove-the-abc
http://quomodocumque.wordpress.com/2012/09/03/mochizuki-on-abc/
The ABC conjecture is a mathematical conjecture that states that for any given positive integer n, there exists only a finite number of triples of relatively prime positive integers a, b, and c such that a + b = c and a, b, and c have no prime factors in common.
As of now, the ABC conjecture remains unsolved. However, there have been several attempts and claims of a proof, but none have been accepted and proven to be correct by the mathematical community.
The ABC conjecture has not been officially solved by any mathematician. There have been several claims of a proof, but none have been accepted and proven to be correct by the mathematical community.
If the ABC conjecture were to be solved, it would have far-reaching implications in number theory and other areas of mathematics. It would also provide a better understanding of the relationships between prime numbers and their distribution.
The solution of the ABC conjecture would have a significant impact on the mathematical community, as it would open up new avenues for research and potentially lead to the development of new mathematical techniques and theories. It would also be considered a major achievement in the field of mathematics.