The Millennium Prize Problems are seven unsolved mathematical problems, each carrying a $1 million prize for the right answer.
The Millennium Prize Problems were created by Landon T. Clay, an American businessman who founded the Clay Mathematics Institute (CMI) in Cambridge, Massachusetts, in 1998 to promote and share mathematical knowledge. The institute’s goal is to give a million-dollar reward to anyone who can solve these math problems.
So what are these complex math problems?
1. The Navier-Stokes Existence and Smoothness Problem:
Scientists use Navier-Stokes equations to make predictions about fluid motions like smoke and water flow. The problem is that mathematicians are curious if these equations always have smooth solutions without sudden jumps or sharp corners.
2. The Hodge Conjecture
It’s all about the hidden connections between shapes and their mathematical descriptions. So, the Hodge Conjecture is almost like studying tangled wires but focusing on how they connect (loops) rather than the exact bends.
3. The Birch and Swinnerton-Dyer Conjecture
It asks if there’s a secret link between how many whole number solutions exist for equations related to the curve (its arithmetic) and the actual shape and folds of the curve itself (its geometry).
-Advertisement-
