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Conjecture - Famous conjectures | | Conjecture - Famous conjectures: Encyclopedia II - Conjecture - Famous conjectures | | Until its proof in 1995, the most famous of all conjectures was the mis-named Fermat's last theorem - this conjecture became a true theorem only after its proof. In the process, a special case of the Taniyama-Shimura conjecture, itself a longstanding open problem, was proven; this conjecture has since been completely proven.
Other famous conjectures include:
There are no odd perfect numbers
Goldbach's conjecture
The twin prime conjecture
The Collatz conjecture
The Riemann hypothesis
P ≠ NP
The Poinca ...
See also:Conjecture, Conjecture - Famous conjectures, Conjecture - Counterexamples, Conjecture - Use of conjectures in conditional proofs, Conjecture - Undecidable conjectures, Conjecture - Usage outside of mathematics | | | Conjecture, Conjecture - Counterexamples, Conjecture - Famous conjectures, Conjecture - Undecidable conjectures, Conjecture - Usage outside of mathematics, Conjecture - Use of conjectures in conditional proofs, List of conjectures | | |
| | | Conjecture: Encyclopedia II - Conjecture - Famous conjectures
Conjecture - Famous conjectures
Until its proof in 1995, the most famous of all conjectures was the mis-named Fermat's last theorem - this conjecture became a true theorem only after its proof. In the process, a special case of the Taniyama-Shimura conjecture, itself a longstanding open problem, was proven; this conjecture has since been completely proven.
Other famous conjectures include:
- There are no odd perfect numbers
- Goldbach's conjecture
- The twin prime conjecture
- The Collatz conjecture
- The Riemann hypothesis
- P ≠ NP
- The Poincaré conjecture
- The abc conjecture
The Langlands program is a far-reaching web of 'unifying conjectures' that link different subfields of mathematics, e.g. number theory and the representation theory of Lie groups; some of these conjectures have since been proved.
Other related archivesP ≠ NP, Atle Selberg, Collatz conjecture, Conjectures, Euclid, Euclidean geometry, Fermat's last theorem, Goldbach's conjecture, J. E. Littlewood, Karl Popper, Langlands program, Lie groups, List of conjectures, Poincaré conjecture, Riemann hypothesis, Taniyama-Shimura conjecture, abc conjecture, axiom of choice, axioms of set theory, cardinality, conditional proofs, continuum hypothesis, counterexample, hypothetical, infinite, integers, mathematicians, mathematics, number theory, parallel postulate, perfect numbers, prime numbers, prove, representation theory, sequences, sets, theorem, twin prime conjecture, undecidable, unifying conjectures
 Adapted from the Wikipedia article "Famous conjectures", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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