Millennium Prize Problems
Of the seven Millennium Prize Problems set by the Clay Mathematics Institute, six have yet to be solved:
- P versus NP
- Hodge conjecture
- Riemann hypothesis
- Yang–Mills existence and mass gap
- Navier–Stokes existence and smoothness
- Birch and Swinnerton-Dyer conjecture.
The seventh problem, the Poincaré conjecture, has been solved. The smooth four-dimensional Poincaré conjecture is still unsolved. That is, can a four-dimensional topological sphere have two or more inequivalent smooth structures?
Read more about this topic: List Of Unsolved Problems In Mathematics
Famous quotes containing the words millennium, prize and/or problems:
“The millennium will not come as soon as women vote, but it will not come until they do vote.”
—Anna Howard Shaw (1847–1919)
“Then, though I prize my friends, I cannot afford to talk with them and study their visions, lest I lose my own. It would indeed give me a certain household joy to quit this lofty seeking, this spiritual astronomy, or search of stars, and come down to warm sympathies with you; but then I know well I shall mourn always the vanishing of my mighty gods.”
—Ralph Waldo Emerson (1803–1882)
“Those great ideas which come to you in your sleep just before you awake in morning, those solutions to the world’s problems which, in the light of day, turn out to be duds of the puniest order, couldn’t they be put to some use, after all?”
—Robert Benchley (1889–1945)