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)
“Far and away the best prize that life offers is the chance to work hard at work worth doing.”
—Theodore Roosevelt (1858–1919)
“There are nowadays professors of philosophy, but not philosophers. Yet it is admirable to profess because it was once admirable to live. To be a philosopher is not merely to have subtle thoughts, nor even to found a school, but so to love wisdom as to live according to its dictates, a life of simplicity, independence, magnanimity, and trust. It is to solve some of the problems of life, not only theoretically, but practically.”
—Henry David Thoreau (1817–1862)