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Proposition in mathematics that is unproven
In mathematics, a conjecture is a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis or
Conjecture
Theorem in geometric topology
In the mathematical field of geometric topology, the Poincaré conjecture (UK: /ˈpwæ̃kæreɪ/, US: /ˌpwæ̃kɑːˈreɪ/, French: [pwɛ̃kaʁe]) is a theorem about
Poincaré_conjecture
Even integers as sums of two primes
Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that every even natural
Goldbach's_conjecture
Open problem on 3x+1 and x/2 functions
problems in mathematics The Collatz conjecture is one of the most famous unsolved problems in mathematics. The conjecture asks whether repeating two simple
Collatz_conjecture
Topics referred to by the same term
Milnor conjecture may refer to: Milnor conjecture (K-theory) in algebraic K-theory Milnor conjecture (knot theory) in knot theory Milnor conjecture (Ricci
Milnor_conjecture
Conjecture in number theory
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
Abc_conjecture
The Whitehead conjecture (also known as the Whitehead asphericity conjecture) is a claim in algebraic topology. It was formulated by J. H. C. Whitehead
Whitehead_conjecture
Unsolved problem in geometry
In mathematics, the Hodge conjecture is a major unsolved problem in algebraic geometry and complex geometry that relates the algebraic topology of a non-singular
Hodge_conjecture
In number theory, Gillies' conjecture is a conjecture about the distribution of prime factors of Mersenne numbers and was made by Donald B. Gillies in
Gillies'_conjecture
Paul Erdős and his various collaborators made many famous mathematical conjectures, over a wide field of subjects, and in many cases Erdős offered monetary
List of conjectures by Paul Erdős
List_of_conjectures_by_Paul_Erdős
In number theory, Lemoine's conjecture, also sometimes known as Levy's conjecture, states that all odd integers greater than 5 can be represented as the
Lemoine's_conjecture
Unsolved problem in topology
Novikov conjecture is one of the most important unsolved problems in topology. It is named for Sergei Novikov who originally posed the conjecture in 1965
Novikov_conjecture
Existence of a prime number between each square and pronic number
closely related to but stronger than Legendre's conjecture, Andrica's conjecture, and Brocard's conjecture. It is named after Danish mathematician Ludvig
Oppermann's_conjecture
Seven mathematical problems with a US$1 million prize for each solution
unsolved mathematical problems, the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem
Millennium_Prize_Problems
Unproved conjecture in mathematics
mathematics, the Birch and Swinnerton-Dyer conjecture (often called the Birch–Swinnerton-Dyer conjecture) describes the set of rational solutions to
Birch and Swinnerton-Dyer conjecture
Birch_and_Swinnerton-Dyer_conjecture
In algebra the Dixmier conjecture, asked by Jacques Dixmier in 1968, is the conjecture that any endomorphism of a Weyl algebra is an automorphism. Tsuchimoto
Dixmier_conjecture
In differential geometry, the Carathéodory conjecture is a mathematical conjecture attributed to Constantin Carathéodory by Hans Ludwig Hamburger in a
Carathéodory_conjecture
Aharoni-Korman conjecture also known as the fishbone conjecture Atiyah conjecture (not a conjecture to start with) Borsuk's conjecture Bunkbed conjecture Chinese
List_of_conjectures
In algebraic geometry, the Virasoro conjecture states that a certain generating function encoding Gromov–Witten invariants of a smooth projective variety
Virasoro_conjecture
Theorem about consecutive perfect powers
Catalan's conjecture (or Mihăilescu's theorem) is a theorem in number theory that was conjectured by the mathematician Eugène Charles Catalan in 1844
Catalan's_conjecture
Unproven mathematical hypothesis
In mathematics, the Zeeman conjecture or Zeeman's collapsibility conjecture asks whether given a finite contractible 2-dimensional CW complex K {\displaystyle
Zeeman_conjecture
Three dimensional analogue of uniformization conjecture
In mathematics, Thurston's geometrization conjecture (now a theorem) states that each of certain three-dimensional topological spaces has a unique geometric
Geometrization_conjecture
Unsolved problem in computational complexity theory
Unique Games Conjecture true? More unsolved problems in computer science In computational complexity theory, the unique games conjecture (often referred
Unique_games_conjecture
On heights of points on algebraic varieties over number fields
Vojta's conjecture is a conjecture introduced by Paul Vojta (1987) about heights of points on algebraic varieties over number fields. The conjecture was motivated
Vojta's_conjecture
Prime differing from another prime by two
of de Polignac's conjecture is the twin prime conjecture. A stronger form of the twin prime conjecture, the Hardy–Littlewood conjecture, postulates a distribution
Twin_prime
Mathematical proposition
The Kahn–Kalai conjecture, also known as the expectation threshold conjecture or more recently the Park-Pham Theorem, was a conjecture in the field of
Kahn–Kalai_conjecture
Unsolved problem in mathematics
Unsolved problem in mathematics Is the lonely runner conjecture true for every number of runners? More unsolved problems in mathematics In number theory
Lonely_runner_conjecture
Topics referred to by the same term
There are several conjectures known as the Hadwiger conjecture or Hadwiger's conjecture. They include: Hadwiger conjecture (graph theory), a relationship
Hadwiger_conjecture
17th-century conjecture proved by Andrew Wiles in 1994
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that there are no positive integers a
Fermat's_Last_Theorem
Major unsolved problem in transcendental number theory
mathematics, specifically transcendental number theory, Schanuel's conjecture is a conjecture about the transcendence degree of certain field extensions of
Schanuel's_conjecture
Weinstein conjecture refers to a general existence problem for periodic orbits of Hamiltonian or Reeb vector flows. More specifically, the conjecture claims
Weinstein_conjecture
Topics referred to by the same term
are several conjectures made by Emil Artin: Artin conjecture (L-functions) Artin's conjecture on primitive roots The (now proved) conjecture that finite
Artin_conjecture
In mathematics, the n! conjecture is the conjecture that the dimension of a certain bi-graded module of diagonal harmonics is n!. It was made by A. M.
N!_conjecture
There is a prime between any two square numbers
Legendre's conjecture, proposed by Adrien-Marie Legendre, states that there is a prime number between n 2 {\displaystyle n^{2}} and ( n + 1 ) 2 {\displaystyle
Legendre's_conjecture
conjecture is a conjecture, named after Fedor Bogomolov , in arithmetic geometry about algebraic curves that generalizes the Manin–Mumford conjecture
Bogomolov_conjecture
In mathematics, the Goncharov conjecture is a conjecture introduced by Goncharov (1995) suggesting that the cohomology of certain motivic complexes coincides
Goncharov_conjecture
In abstract algebra, Abhyankar's conjecture for affine curves is a conjecture of Shreeram Abhyankar posed in 1957, on the Galois groups of algebraic function
Abhyankar's_conjecture
In geometric topology, the Borel conjecture (named for Armand Borel) asserts that an aspherical closed manifold is determined by its fundamental group
Borel_conjecture
Relation between graph coloring and crossings
College, who stated it as a conjecture in 2007; it is one of his many conjectures in graph coloring theory. The conjecture states that, among all graphs
Albertson_conjecture
Open problem in ring theory (mathematics)
In mathematics, the Köthe conjecture is a problem in ring theory, open as of 2025[update]. It is formulated in various ways. Suppose that R is a ring.
Köthe_conjecture
algebraic geometry, the Bass conjecture says that certain algebraic K-groups are supposed to be finitely generated. The conjecture was proposed by Hyman Bass
Bass_conjecture
Visualization of the prime numbers formed by arranging the integers into a spiral
a high asymptotic density of them, although there is a well-supported conjecture as to what that asymptotic density should be. In 1932, 31 years prior
Ulam_spiral
Conjecture on zeros of the zeta function
problems in mathematics In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even
Riemann_hypothesis
Topics referred to by the same term
Serre's conjecture may refer to: Quillen–Suslin theorem, formerly known as Serre's conjecture Serre's conjecture II, concerning the Galois cohomology of
Serre's_conjecture
Math theorem about sphere packing
The Kepler conjecture, named after the 17th-century mathematician and astronomer Johannes Kepler, is a mathematical theorem about sphere packing in three-dimensional
Kepler_conjecture
The Vaught conjecture is a conjecture in the mathematical field of model theory originally proposed by Robert Lawson Vaught in 1961. It states that the
Vaught_conjecture
Serre conjectured the following statement regarding the Galois cohomology of a simply connected semisimple algebraic group. Namely, he conjectured that
Serre's_conjecture_II
On invertibility of polynomial maps (mathematics)
In mathematics, the Jacobian conjecture is a famous unsolved problem concerning polynomials in several variables. It states that if a polynomial function
Jacobian_conjecture
Theorem in homotopy theory
Segal's Burnside ring conjecture, or, more briefly, the Segal conjecture, is a theorem in homotopy theory, a branch of mathematics. The theorem relates
Segal's_conjecture
Topics referred to by the same term
Ulam's conjecture may refer to: Collatz conjecture, in number theory Reconstruction conjecture, in graph theory Ulam's packing conjecture, in geometry
Ulam's_conjecture
Theorem that the diffeomorphism group of the 3-sphere has the homotopy-type of O(4)
The Smale conjecture, named after Stephen Smale, is the statement that the diffeomorphism group of the 3-sphere has the homotopy-type of its isometry group
Smale_conjecture
Mathematical conjectures about Mersenne primes
In mathematics, the Mersenne conjectures concern the characterization of a kind of prime numbers called Mersenne primes, meaning prime numbers that are
Mersenne_conjectures
In the mathematical field of spectral graph theory, Brouwer's conjecture is a conjecture by Andries Brouwer on upper bounds for the intermediate sums of
Brouwer's_conjecture
Problem in graph theory
standard. In 1996, László Babai published a conjecture sharply contradicting this conjecture, but both conjectures remain widely open. It is not even known
Lovász_conjecture
Topics referred to by the same term
In mathematics, the Shafarevich conjecture, named for Igor Shafarevich, may refer to: The Tate–Shafarevich conjecture that the Tate–Shafarevich group
Shafarevich_conjecture
In mathematics, specifically complex analysis, the Brennan conjecture is a conjecture estimating (under specified conditions) the integral powers of the
Brennan_conjecture
Disproven conjecture in number theory
In number theory, the Pólya conjecture (or Pólya's conjecture) stated that "most" (i.e., 50% or more) of the natural numbers less than any given number
Pólya_conjecture
2000, six remain unsolved to date: Birch and Swinnerton-Dyer conjecture Hodge conjecture Navier–Stokes existence and smoothness P versus NP Riemann hypothesis
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Geometry hypothesis
unsolved problems in mathematics Ulam's packing conjecture, named for Stanisław Ulam, is a conjecture about the highest possible packing density of identical
Ulam's_packing_conjecture
Unsolved problem in mathematics
In mathematics, Hall's conjecture is an open question on the differences between perfect squares and perfect cubes. It asserts that a perfect square y2
Hall's_conjecture
On centroids of sets of lattice points
In additive number theory, Kemnitz's conjecture states that every set of integer lattice points in the plane has a large subset whose centroid is also
Kemnitz's_conjecture
Conjecture about prime numbers, proof under review
In number theory, Goldbach's weak conjecture, also known as the odd Goldbach conjecture, the ternary Goldbach problem, or the 3-primes problem, is the
Goldbach's_weak_conjecture
Theorem in topology
In mathematics, the Smith conjecture states that if f is a diffeomorphism of the 3-sphere of finite order, then the fixed point set of f cannot be a nontrivial
Smith_conjecture
mathematics, Nakayama's conjecture is a conjecture about Artinian rings, introduced by Nakayama (1958). The generalized Nakayama conjecture is an extension to
Nakayama's_conjecture
Mathematical problem
In mathematics, the Littlewood conjecture is an open problem in Diophantine approximation, proposed by J. E. Littlewood around 1930. It states that for
Littlewood_conjecture
In nonlinear control, Aizerman's conjecture or Aizerman problem states that a linear system in feedback with a sector nonlinearity would be stable if the
Aizerman's_conjecture
On distance sets of high-dimensional sets
In geometric measure theory, Falconer's conjecture, named after Kenneth Falconer, is an unsolved problem concerning the sets of Euclidean distances between
Falconer's_conjecture
In algebraic geometry, the Fröberg conjecture is a conjecture about the possible Hilbert functions of a set of forms. It is named after Ralf Fröberg [sv]
Fröberg_conjecture
Theorem about the constant term of certain Laurent polynomials
In mathematics, the Dyson conjecture (Freeman Dyson 1962) is a conjecture about the constant term of certain Laurent polynomials, proved independently
Dyson_conjecture
{\displaystyle k\geq 3} is fixed? More unsolved problems in mathematics Kotzig's conjecture is an unproven assertion in graph theory which states that finite graphs
Kotzig's_conjecture
Theorem that the growth rate of every proper permutation class is singly exponential
The Stanley–Wilf conjecture, formulated independently by Richard P. Stanley and Herbert Wilf in the late 1980s, states that the growth rate of every proper
Stanley–Wilf_conjecture
Russian mathematician (born 1966)
analysis of Ricci flow, and proved the Poincaré conjecture and Thurston's geometrization conjecture, the former of which had been a famous open problem
Grigori_Perelman
Conjecture in probabilistic combinatorics
The bunkbed conjecture (also spelled bunk bed conjecture) is a statement in percolation theory, a branch of mathematics that studies the behavior of connected
Bunkbed_conjecture
Topics referred to by the same term
the tau conjecture may refer to one of Lehmer's conjecture on the non-vanishing of the Ramanujan tau function The Ramanujan–Petersson conjecture on the
Tau_conjecture
Disproved mathematical conjecture
In mathematics, the Mertens conjecture is the statement that the Mertens function M ( n ) {\displaystyle M(n)} is bounded by ± n {\displaystyle \pm {\sqrt
Mertens_conjecture
Relates rational elliptic curves to modular forms
statement was known as the Taniyama–Shimura conjecture, Taniyama–Shimura–Weil conjecture, or the modularity conjecture for elliptic curves. The theorem states
Modularity_theorem
In algebraic geometry, the abundance conjecture is a conjecture in birational geometry, more precisely in the minimal model program, stating that for every
Abundance_conjecture
Numerous conjectures by mathematician Irving Kaplansky
is notable for proposing numerous conjectures in several branches of mathematics, including a list of ten conjectures on Hopf algebras. They are usually
Kaplansky's_conjectures
Mathematical theorem first conjectured by Ronald Read
Read's conjecture is a conjecture, first made by Ronald Read, about the unimodality of the coefficients of chromatic polynomials in the context of graph
Read's_conjecture
Bound on the gaps between prime numbers
In number theory, Firoozbakht's conjecture (or the Firoozbakht conjecture) is a conjecture about the distribution of prime numbers. It is named after the
Firoozbakht's_conjecture
Conjecture on forbidden minors of matroids
Rota's excluded minors conjecture is one of a number of conjectures made by the mathematician Gian-Carlo Rota. It is considered an important problem by
Rota's_conjecture
Two unsolved conjectures in algebraic number theory
first conjecture was proposed in 1976 and concerns Iwasawa invariants. This conjecture is related to Vandiver's conjecture, Leopoldt's conjecture, Birch–Tate
Greenberg's_conjectures
Conjecture about the behaviour of the Fourier transform on curved hypersurfaces
harmonic analysis, the restriction conjecture, also known as the Fourier restriction conjecture, is a conjecture about the behaviour of the Fourier transform
Restriction_conjecture
Theorem in group theory
In mathematics, specifically in the field of group theory, the McKay conjecture is a theorem of equality between two numbers: the number of irreducible
McKay_conjecture
Conjecture in number theory
Gilbreath's conjecture is a conjecture in number theory regarding the sequences generated by applying the forward difference operator to consecutive prime
Gilbreath's_conjecture
Whether a manifold which is a homotopy sphere is a sphere
In the mathematical area of topology, the generalized Poincaré conjecture is a statement that a manifold that is a homotopy sphere is a sphere. More precisely
Generalized Poincaré conjecture
Generalized_Poincaré_conjecture
Topics referred to by the same term
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
Euler's_conjecture
In number theory, the Stark conjectures, introduced by Stark (1971, 1975, 1976, 1980) and later expanded by Tate (1984), give conjectural information
Stark_conjectures
Subfield of number theory
that this field contains four roots of unity. There are two families of conjectures, formulated for general classes of L-functions (the very general setting
Special_values_of_L-functions
conjecture may refer to one of several conjectural statements from differential geometry and topology attributed to Heinz Hopf. The Hopf conjecture is
Hopf_conjecture
In algebraic topology, the doomsday conjecture was a conjecture about Ext groups over the Steenrod algebra made by Joel Cohen, named by Michael Barratt
Doomsday_conjecture
Mathematical conjecture
(SYZ) conjecture is an attempt to understand the mirror symmetry conjecture, an issue in theoretical physics and mathematics. The original conjecture was
SYZ_conjecture
Mathematical problem in ring theory
In abstract algebra, Jacobson's conjecture is an open problem in ring theory concerning the intersection of powers of the Jacobson radical of a Noetherian
Jacobson's_conjecture
Conjecture in algebraic geometry
In number theory and algebraic geometry, the Tate conjecture is a 1963 conjecture of John Tate that would describe the algebraic cycles on a variety in
Tate_conjecture
number theory, Agrawal's conjecture, due to Manindra Agrawal in 2002, forms the basis for the cyclotomic AKS test. Agrawal's conjecture states formally: Let
Agrawal's_conjecture
Unsolved problem in graph theory
problems in mathematics Sumner's conjecture (also called Sumner's universal tournament conjecture) is a conjecture in extremal graph theory on oriented
Sumner's_conjecture
Conjecture in number theory
The Beal conjecture is the following conjecture in number theory: Unsolved problem in mathematics If A x + B y = C z {\displaystyle A^{x}+B^{y}=C^{z}}
Beal_conjecture
Curves of genus > 1 over the rationals have only finitely many rational points
This was conjectured in 1922 by Louis Mordell, and known as the Mordell conjecture until its 1983 proof by Gerd Faltings. The conjecture was later generalized
Faltings'_theorem
Need to sacrifice consistency or availability in the presence of network partitions
1998. It was published as the CAP principle in 1999 and presented as a conjecture by Brewer at the 2000 Symposium on Principles of Distributed Computing
CAP_theorem
Can every bounded subset of Rn be partitioned into (n+1) smaller diameter sets?
problem in geometry, for historical reasons incorrectly called Borsuk's conjecture, is a question in discrete geometry. It is named after Karol Borsuk. In
Borsuk's_conjecture
CONJECTURE
CONJECTURE
Biblical
that foretells; that conjectures
Boy/Male
Arabic, Muslim, Urdu
Intuition; Conjecture; Wisdom
Boy/Male
Australian, Biblical
That Foretells; That Conjectures
Surname or Lastname
English
English : of uncertain derivation. The 18th-century parish registers of Marske, North Yorkshire, record the surname Hartburn with the variant Harburn; Harben may be a further variant of this. If so, its origin is probably topographic or habitational, from East Hartburn in Stockton-on-Tees or Hartburn in Northumberland, both named from Old English heorot ‘hart’ + burna ‘steam’. However, this conjecture is not borne out by the distribution of the surname a century later, when it occurs chiefly in Cambridgeshire and London and also with a significant presence in the Channel Islands, perhaps suggesting that it could be a variant of Harpin.
Boy/Male
Biblical
That foretells, that conjectures.
Boy/Male
Muslim
Intuition, Conjecture, Wisdom
CONJECTURE
CONJECTURE
Girl/Female
African, Australian, Japanese, Nigerian
Near; Scatter Flowers; Wisdom; God is the Greatest
Boy/Male
Muslim
One of the prophet muhammads names, Victory, The two opening letters of surah 36 in the Quran
Biblical
who is perfect?
Boy/Male
Biblical
My God is king.
Boy/Male
Hindu, Indian, Kannada, Marathi, Oriya, Sanskrit, Telugu
Hard Worker
Boy/Male
English
cordmaker.
Girl/Female
French American English
A 13th centurymeaning nobility. Now particularly popular in Scotland.
Boy/Male
Latin
Name of a Greek philosopher.
Girl/Female
Bengali, Hindu, Indian, Sindhi
Warm Hearted
Girl/Female
Latin Hebrew Scottish English
Dearly loved.
CONJECTURE
CONJECTURE
CONJECTURE
CONJECTURE
CONJECTURE
n.
Something proposed to be solved by guessing or conjecture; a puzzling question; an ambiguous proposition; an enigma; hence, anything ambiguous or puzzling.
n.
That which is supposed; hypothesis; conjecture; surmise; opinion or belief without sufficient evidence.
v. t.
To arrive at by conjecture; to infer on slight evidence; to surmise; to guess; to form, at random, opinions concerning.
imp. & p. p.
of Conjecture
v. t. & i.
To conjecture wrongly.
n.
A thought, imagination, or conjecture, which is based upon feeble or scanty evidence; suspicion; guess; as, the surmisses of jealousy or of envy.
n.
A wrong conjecture or guess.
n.
An opinionated person; one given to conjecture.
n.
A tropical plant (Ananassa sativa); also, its fruit; -- so called from the resemblance of the latter, in shape and external appearance, to the cone of the pine tree. Its origin is unknown, though conjectured to be American.
n.
A conclusion to which the mind comes by speculating; mere theory; view; notion; conjecture.
p. p. & a.
Worked out by calculation; as calculated tables for computing interest; ascertained or conjectured as a result of calculation; as, the calculated place of a planet; the calculated velocity of a cannon ball.
a.
Of the nature of an opinion; conjectured.
n.
Made or reached without deliberation or due caution; as, a hasty conjecture, inference, conclusion, etc., a hasty resolution.
n.
A part or decoration of the breastplate of the high priest among the ancient Jews, by which Jehovah revealed his will on certain occasions. Its nature has been the subject of conflicting conjectures.
n.
Supposition; hypothesis; conjecture.
n.
A deity among the ancient Syrians, in honor of whom the Hebrew idolatresses held an annual lamentation. This deity has been conjectured to be the same with the Phoenician Adon, or Adonis.
v. i.
To make conjectures; to surmise; to guess; to infer; to form an opinion; to imagine.
a.
Conjectural; able to conjecture.
n.
One who conjectures.
v. t.
To imagine without certain knowledge; to infer on slight grounds; to suppose, conjecture, or suspect; to guess.