Question

what is the hardest maths question in history.​

Answer 1

In 2002, a reclusive Russian genius named Grigori Perelman put an end to more than 100 years of suffering in the mathematical community. He solved the most difficult math problem of the 20th century -the Poincaré Conjecture. Its siren call had lured generations of mathematicians to intellectual graves.

Answer 2

The hardest maths question in history is Poincaré conjecture

The questions is,

Consider a compact 3-dimensional manifold V without boundary. Is it possible that the fundamental group of V could be trivial, even though V is not homeomorphic to the 3-dimensional sphere?

Topology principles are the foundation of this issue. When a rubber band is stretched around an apple's surface, it can be compressed to a point by being moved slowly, without tearing, and without allowing it to leave the surface. On the other hand, if the same rubber band were to be stretched in the right direction around a doughnut, neither the rubber band nor the doughnut could be shrunk to a point without breaking. While the surface of the doughnut is not "simply connected," we claim that the surface of the apple is. Nearly a century ago, Poincaré understood that this characteristic of a two-dimensional sphere is what makes it what it is.

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i.e. Hardest question in the history of maths

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