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All Conjectures

Claims mathematicians believe are true, or take seriously as live possibilities, that have no accepted proof either way. Belongs here: open conjectures, grouped below by the branch of mathematics the claim belongs to. Does not belong here: settled results, filed as theorems once proved, or the open problems catalogued separately under Open Questions, which record a question's own history and status rather than a specific claim awaiting proof.

All Conjectures

151 entries

Branch

Proposed

Posed By

Resolution Status

Resolved Year

1/3-2/3 Conjecture

ABC Conjecture

Agoh-Giuga Conjecture

Agrawal's Conjecture

Andre-Oort Conjecture

Andrews-Curtis Conjecture

Andrica's Conjecture

Artin's Conjecture on Primitive Roots

Bass Conjecture

Bass-Quillen Conjecture

Bateman-Horn Conjecture

Baum-Connes Conjecture

Beal Conjecture

Beal's Conjecture

Big-Line-Big-Clique Conjecture

Birch and Swinnerton-Dyer Conjecture

Birch-Tate Conjecture

Bombieri-Lang Conjecture

Borel Conjecture

Brennan Conjecture

Brocard's Conjecture

Brumer-Stark Conjecture

Bunyakovsky Conjecture

Caratheodory Conjecture

Carmichael's Totient Function Conjecture

Cartan-Hadamard Conjecture

Casas-Alvero Conjecture

Collatz Conjecture

Connes Embedding Problem

Continuum Hypothesis

Conway's Thrackle Conjecture

Cramer's Conjecture

Crouzeix's Conjecture

Cycle Double Cover Conjecture

Dittert Conjecture

Dixmier Conjecture

Eilenberg-Ganea Conjecture

Elliott-Halberstam Conjecture

Erdos Conjecture on Arithmetic Progressions

Erdos-Faber-Lovasz Conjecture

Erdos-Gyarfas Conjecture

Erdos-Hajnal Conjecture

Erdos-Straus Conjecture

Falconer's Conjecture

Farrell-Jones Conjecture

Feit-Thompson Conjecture

Fermat-Catalan Conjecture

Filling Area Conjecture

Firoozbakht's Conjecture

Fortune's Conjecture

Four Exponentials Conjecture

Fuglede's Conjecture

Fujita Conjecture

Gauss Circle Problem

Generalized Poincare Conjecture

Gilbert-Pollak Conjecture

Gilbreath's Conjecture

Goldbach Conjecture

Goldberg-Seymour Conjecture

Goodman's Conjecture

Goormaghtigh Conjecture

Grimm's Conjecture

Grothendieck-Katz p-curvature Conjecture

Hadamard Conjecture

Hadwiger Conjecture

Hall's Conjecture

Hartmanis-Stearns Conjecture

Hedetniemi's Conjecture

Herzog-Schonheim Conjecture

Hilbert-Smith Conjecture

Hirsch Conjecture

Hodge Conjecture

Homological Conjectures in Commutative Algebra

Hopf Conjecture

Inscribed Square Problem

Invariant Subspace Problem

Jacobian Conjecture

Jacobson's Conjecture

Kahn-Kalai Conjecture

Kakeya Conjecture