Abc conjecture in number theory (also known as Austler-massl conjecture? It was first proposed by Joseph Austler and David massl in 1985, and the mathematician Shinichi Mochizuki claimed to prove this conjecture in 20 12.

Mathematicians declare this conjecture with three related positive integers A, B and C (satisfying a+b = c) (hence the name abc conjecture). If D is the product of abc's different prime factors, this conjecture essentially means that D is usually not much smaller than C. In other words, if there are some high powers of prime numbers in the factors of A and B, then C usually cannot be divisible by the high powers of prime numbers.

Abc conjecture is famous because it brings some interesting conclusions about number theory. Many famous conjectures and theorems came out immediately after abc conjecture. Mathematician Goldfield (1996) thinks that abc conjecture is "the most important unsolved problem in Diophantine analysis".

Lucien Szpiro (French mathematician, famous for his contributions to number theory, arithmetic algebra geometry and commutative algebra) tried to overcome this conjecture in 2007, but it was later proved wrong.

20 12 In August, Shinichi Mochizuki, a mathematician from Kyoto University, published four pre-Yin Gao articles, introduced his theory of teichüller, and claimed that several famous conjectures, including abc conjecture, could be proved by this theory.

His paper was published in mathematical journals for reference, and many people began to learn his theory. Many mathematicians are skeptical about his article, and it is precisely because of his strange and obscure proof that we know that it may be a long and lonely road to solve this conjecture.