Science Fair Project Encyclopedia
Unsolved problems in mathematics
This article describes some currently unsolved problems in mathematics.
The seven Millennium Prize Problems set by the Clay Mathematics Institute are:
- P versus NP
- The Hodge Conjecture
- The Poincaré Conjecture
- The Riemann Hypothesis
- Yang-Mills Existence and Mass Gap
- Navier-Stokes Existence and Smoothness
- The Birch and Swinnerton-Dyer Conjecture
Other still-unsolved problems:
- Twin prime conjecture
- Number of Magic squares
- Gilbreath's conjecture
- Goldbach's conjecture
- Hilbert's sixteenth problem
- Generalized star height problem
- Collatz conjecture
- Schanuel's conjecture
- infinitely many Mersenne primes (Lenstra-Pomerance-Wagstaff conjecture)
- infinitely many regular primes
- infinitely many Cullen primes
- infinitely many palindromic primes in base 10
- about e−½ of all prime numbers are regular
- infinitely many even perfect numbers
- existence of odd perfect numbers
- existence of quasiperfect numbers
See also those problems listed as conjectures (list of conjectures).
Problems solved recently:
See also: Hilbert's 23 problems, Timeline of mathematics
Quotes
"Problems worthy of attack prove their worth by fighting back." — Piet Hein (1905–1996)
External links
- Winkelmann, Jörg, "Some Mathematical Problems". Feb 3, 2004.
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details