Take Fermat’s Last Theorem, for example: short and sweet enough to scribble in a margin, but a proof took more than 350 years and the development of multiple new fields of math to find.

Yet even that mild constraint turned out to be nearly impossible to prove. In 2022, five decades after the modern Kakeya conjecture was formulated, Wang and Zahl took a significant step forward.

The proof has to prove that no solutions exist within this infinity of infinities. Nonetheless, Fermat claimed he had a proof. The proof was never written down, so the challenge has been to ...

"If you like, you can say the laws are the work of God, but that is more a definition of God than a proof of his existence," he wrote. ' Mr Hawking also expressed his opinions regarding the afterlife.