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)
“It is impossible to think of Howard Hughes without seeing the apparently bottomless gulf between what we say we want and what we do want, between what we officially admire and secretly desire, between, in the largest sense, the people we marry and the people we love. In a nation which increasingly appears to prize social virtues, Howard Hughes remains not merely antisocial but grandly, brilliantly, surpassingly, asocial. He is the last private man, the dream we no longer admit.”
—Joan Didion (b. 1934)
“The man who is forever disturbed about the condition of humanity either has no problems of his own or has refused to face them.”
—Henry Miller (1891–1980)