As with many famous conjectures in mathematics, there are a number of purported proofs of the Goldbach conjecture, none accepted by the mathematical community.

Computer-aided proofs have been a festering problem in mathematics for 14 years, ever since a famous conjecture, the four-color problem, was solved.

Other famous conjectures include the Collatz conjecture and the Riemann hypothesis.

Steve Hofmann is a mathematician who helped solve the famous Kato's conjecture.

Many famous conjectures and theorems in number theory would follow immediately from the abc conjecture.

Until recently, one of the most famous conjectures was Fermat's Last Theorem.

Other famous conjectures include:

The conjecture, if true, would have some older famous conjectures as consequences.

This famous conjecture is known as MLC (for Mandelbrot Locally Connected).

Andrew Wiles at Princeton had recently announced a proof of the famous conjecture, although his work was still being scrutinized by his colleagues, and the final verdict wasn't yet in.