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In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann...

natural number greater than 2 is the sum of two prime numbers. The conjecture has been shown to hold for all integers less than 4×1018 but remains unproven despite...

In the mathematical field of geometric topology, the Poincaré conjecture (UK: /ˈpwæ̃kæreɪ/, US: /ˌpwæ̃kɑːˈreɪ/, French: [pwɛ̃kaʁe]) is a theorem about...

The abc conjecture (also known as the Oesterlé–Masser conjecture) is a conjecture in number theory that arose out of a discussion of Joseph Oesterlé and...

topology of a non-singular complex algebraic variety to its subvarieties. In simple terms, the Hodge conjecture asserts that the basic topological information...

converge to 1? (more unsolved problems in mathematics) The Collatz conjecture is one of the most famous unsolved problems in mathematics. The conjecture asks...

Serre's conjecture may refer to: Quillen–Suslin theorem, formerly known as Serre's conjecture Serre's conjecture II, concerning the Galois cohomology of...

Problems. To date, the only Millennium Prize problem to have been solved is the Poincaré conjecture. The Clay Institute awarded the monetary prize to Russian...

of de Polignac's conjecture is the twin prime conjecture. A stronger form of the twin prime conjecture, the Hardy–Littlewood conjecture (see below), postulates...

Birch and Swinnerton-Dyer conjecture (often called the Birch–Swinnerton-Dyer conjecture) describes the set of rational solutions to equations defining an...

There are several conjectures known as the Hadwiger conjecture or Hadwiger's conjecture. They include: Hadwiger conjecture (graph theory), a relationship...

Ulam's conjecture may refer to: The Collatz conjecture The reconstruction conjecture Ulam's packing conjecture This disambiguation page lists mathematics...

The Kepler conjecture, named after the 17th-century mathematician and astronomer Johannes Kepler, is a mathematical theorem about sphere packing in three-dimensional...

In mathematics, Thurston's geometrization conjecture states that each of certain three-dimensional topological spaces has a unique geometric structure...

made several different conjectures which are all called Euler's conjecture: Euler's sum of powers conjecture Euler's conjecture (Waring's problem) Euler's...

are several conjectures made by Emil Artin: Artin conjecture (L-functions) Artin's conjecture on primitive roots The (now proved) conjecture that finite...

Pollock's conjectures are closely related conjectures in additive number theory. They were first stated in 1850 by Sir Frederick Pollock, better known...

Mathematics Institute in 2000, six remain unsolved to date: Birch and Swinnerton-Dyer conjecture Hodge conjecture Navier–Stokes existence and smoothness P versus...

Milnor conjecture may refer to: Milnor conjecture in algebraic K-theory Milnor conjecture (knot theory) in knot theory Milnor conjecture (Ricci) concerning...

Anton Petrunin, he made contributions to the study of Alexandrov spaces. In 1994, he proved the soul conjecture in Riemannian geometry, which had been...