one must form a conjecture

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• Hodge conjecture — The Hodge conjecture is a major unsolved problem in algebraic geometry which relates the algebraic topology of a non singular complex algebraic variety and the subvarieties of that variety. More specifically, the conjecture says that certain de… …   Wikipedia

• Collatz conjecture — Directed graph showing the orbits of small numbers under the Collatz map. The Collatz conjecture is equivalent to the statement that all paths eventually lead to 1 …   Wikipedia

• Hadwiger conjecture (graph theory) — In graph theory, the Hadwiger conjecture (or Hadwiger s conjecture) states that, if an undirected graph G requires k or more colors in any vertex coloring, then one can find k disjoint connected subgraphs of G such that each subgraph is connected …   Wikipedia

• Vaught conjecture — The Vaught conjecture is a conjecture in the mathematical field of model theory originally proposed by Robert Lawson Vaught in 1961. It concerns the possible numbers of countable models of a first order complete theory. While some special cases… …   Wikipedia

• Goldbach's conjecture — is one of the oldest unsolved problems in number theory and in all of mathematics. It states::Every even integer greater than 2 can be written as the sum of two primes.Expressing a given even number as a sum of two primes is called a Goldbach… …   Wikipedia

• Calabi conjecture — In mathematics, the Calabi conjecture was a conjecture about the existence of good Riemannian metrics on complex manifolds, made by Eugenio Calabi (1954, 1957) and proved by Shing Tung Yau (1977, 1978). The Calabi conjecture states that …   Wikipedia

• Poincaré conjecture — In mathematics, the Poincaré conjecture (French, pronounced|pwɛ̃kaʀe) [cite encyclopedia | encyclopedia=The American Heritage Dictionary of the English Language | title=Poincaré, Jules Henri | url=http://www.bartleby.com/61/3/P0400300.html |… …   Wikipedia

• Solution of the Poincaré conjecture — This entry describes the solution of the Poincaré conjecture at a level intended for the general public. The proof described is that of Grigori Perelman using the Ricci flow developed by Richard Hamilton. Links to other expositions for general… …   Wikipedia

• Carmichael's totient function conjecture — In mathematics, Carmichael s totient function conjecture concerns the multiplicity of values of Euler s totient function phi;( n ), which counts the number of integers less than and coprime to n .This function phi;( n ) is equal to 2 when n is… …   Wikipedia

• Birch and Swinnerton-Dyer conjecture — Millennium Prize Problems P versus NP problem Hodge conjecture Poincaré conjecture Riemann hypo …   Wikipedia

• Erdős–Graham conjecture — The Erdős–Graham conjecture in combinatorial number theory states that, if {2,3,4,...} are partitioned into finitely many subsets, then one of the subsets can be used to form an Egyptian fraction representation of unity. That is, for every r > 0 …   Wikipedia