Quote:
Originally Posted by ThePerfectHacker  Why are these called "Mellenium Problems".
They are not so old.
There are only 2 real mellinium problem from the time of Euclid (more than 2300 years ago). Twin Prime conjecture. And the dangerous Odd Perfect Number
I think there is one most from the time of Pythagorus (more than 2500 years ago). I do not know who it is called, and I do not really know if it is unsolved. But I think it is. Show there is not thing as a slightly excessive number. Meaning when you add the proper divisors you obtain a number 1 more than the number you used. If what I said is true, this is the oldest unsolved problem.
It happens to be cool that the most complicated math problems involve the most basic things, the positive integers. Funny, all of these advanced PDE's eventually are solved after a some time. But these problems, which a child can understand still unsolved. Even by the greatest mathemations. |
There are seven unsolved problems that are properly labeled "The Millenium Problems". They were instated by the Clay Mathematical Institute, so we don't really have a choice as to which ones they will be. A quote from the lecture:
"A prize of $1 million will be awarded to the person or persons who first solved any one of seven of the most difficult open problems of mathematics."
These problems are:
- The Riemann Hypothesis
- Yang-Mills Theory and the Mass Gap Hypothesis
- The P vs. NP Problem
- The Navier-Stokes Equations
- The Poincare Conjecture
- The Birch and Swinnerton-Dyer Conjecture
- The Hodge Conjecture
__________________
"Mathematics is the art of giving the same name to different things."
- J.H. Poincaré
Every simply connected closed three-manifold is homeomorphic to the three-sphere
, where a three-sphere is simply a generalization of the usual sphere to one dimension higher.
Linear Mode
