Conjectures
A statement that nobody has proved or refuted.
- Concepts 5206
- Definitions 5027
- Statements 3081
- Conjectures 75
- Problems 147
- Examples 431
- Counterexamples 71
- Objects 132
- Proofs 11
- Computations 1
- Topics 1
Ideas 1–75 of 75.
| Name | Kind | Subject |
|---|---|---|
| Goldbach's conjecture | Conjecture | Number theory |
| Twin prime conjecture | Conjecture | Number theory |
| Sendov's conjecture | Conjecture | Functions of a complex variable |
| Park's conjecture | Conjecture | General algebraic systems |
| Hochster's homological conjectures | Conjecture | Commutative algebra |
| Kobayashi conjecture | Conjecture | Several complex variables and analytic spaces |
| Homotopy hypothesis | Conjecture | Category theory; homological algebra |
| Hadwiger conjecture | Conjecture | Combinatorics |
| Uniform boundedness conjecture for preperiodic points | Conjecture | Dynamical systems and ergodic theory |
| Union-closed sets conjecture | Conjecture | Combinatorics |
| Navier–Stokes existence and smoothness | Conjecture | Partial differential equations |
| Brauer's height zero conjecture | Conjecture | Group theory and generalizations |
| Schanuel's conjecture | Conjecture | Number theory |
| Collatz conjecture | Conjecture | Number theory |
| Dynamical Mordell–Lang conjecture | Conjecture | Dynamical systems and ergodic theory |
| Hadamard conjecture | Conjecture | Combinatorics |
| 11/8 conjecture | Conjecture | Manifolds and cell complexes |
| Restriction conjecture | Conjecture | Harmonic analysis on Euclidean spaces |
| Green–Griffiths–Lang conjecture | Conjecture | Several complex variables and analytic spaces |
| 1/3–2/3 conjecture | Conjecture | Order, lattices, ordered algebraic structures |
| Jacobian conjecture | Conjecture | Algebraic geometry |
| Homological mirror symmetry | Conjecture | Differential geometry |
| Selberg's 1/4 conjecture | Conjecture | Number theory |
| Artin's conjecture on primitive roots | Conjecture | Number theory |
| Jacobson's conjecture | Conjecture | Associative rings and algebras |
| Brennan conjecture | Conjecture | Functions of a complex variable |
| Standard conjectures on algebraic cycles | Conjecture | Algebraic geometry |
| Rota's basis conjecture | Conjecture | Combinatorics |
| Hopf conjecture | Conjecture | Differential geometry |
| Generalized Riemann hypothesis | Conjecture | Number theory |
| Hilbert–Smith conjecture | Conjecture | Manifolds and cell complexes |
| Kaplansky's conjectures | Conjecture | Associative rings and algebras |
| Kaplansky's zero divisor conjecture | Conjecture | Associative rings and algebras |
| Hilbert–Pólya conjecture | Conjecture | Number theory |
| Slice-ribbon conjecture | Conjecture | Manifolds and cell complexes |
| Voronoi's conjecture on parallelohedra | Conjecture | Convex and discrete geometry |
| Quantum unique ergodicity conjecture | Conjecture | Global analysis, analysis on manifolds |
| Dixmier conjecture | Conjecture | Associative rings and algebras |
| Pólya's conjecture on Laplacian eigenvalues | Conjecture | Partial differential equations |
| Mahler conjecture | Conjecture | Convex and discrete geometry |
| Erdős conjecture on arithmetic progressions | Conjecture | Number theory |
| Cycle double cover conjecture | Conjecture | Combinatorics |
| abc conjecture | Conjecture | Number theory |
| Arnold conjecture | Conjecture | Differential geometry |
| Schiffer's conjecture | Conjecture | Partial differential equations |
| Inscribed square problem | Conjecture | Geometry |
| Langlands program | Conjecture | Number theory |
| Zimmer's conjecture | Conjecture | Dynamical systems and ergodic theory |
| Sidorenko's conjecture | Conjecture | Combinatorics |
| Weinstein conjecture | Conjecture | Differential geometry |
| Andrews–Curtis conjecture | Conjecture | Group theory and generalizations |
| Lehmer's conjecture | Conjecture | Number theory |
| Smooth four-dimensional Poincaré conjecture | Conjecture | Manifolds and cell complexes |
| Littlewood conjecture | Conjecture | Number theory |
| Dürer's conjecture | Conjecture | Convex and discrete geometry |
| Lindelöf hypothesis | Conjecture | Number theory |
| Erdős–Hajnal conjecture | Conjecture | Combinatorics |
| Vojta's conjecture | Conjecture | Number theory |
| Köthe conjecture | Conjecture | Associative rings and algebras |
| Hadwiger covering conjecture | Conjecture | Convex and discrete geometry |
| Lang's conjectures | Conjecture | Algebraic geometry |
| Riemann hypothesis | Conjecture | Number theory |
| Bing–Borsuk conjecture | Conjecture | Manifolds and cell complexes |
| Feder–Vardi dichotomy conjecture | Conjecture | Computer science |
| Eremenko's conjecture | Conjecture | Dynamical systems and ergodic theory |
| Borel conjecture | Conjecture | Manifolds and cell complexes |
| Hodge conjecture | Conjecture | Algebraic geometry |
| Graph reconstruction conjecture | Conjecture | Combinatorics |
| Manin conjecture | Conjecture | Algebraic geometry |
| Baker–Gammel–Wills conjecture | Conjecture | Approximations and expansions |
| Vaught conjecture | Conjecture | Mathematical logic and foundations |
| Graceful tree conjecture | Conjecture | Combinatorics |
| Volume conjecture | Conjecture | Manifolds and cell complexes |
| Zariski's multiplicity conjecture | Conjecture | Several complex variables and analytic spaces |
| Birch and Swinnerton-Dyer conjecture | Conjecture | Number theory |