Conjectures and Refutations

Conjecture, Kaplansky's conjectures, List of conjectures, Ravenel's conjectures, Stark conjectures, Greenberg's conjectures, Pollock's conjectures, Tait conjectures, Tate conjecture, Arthur's conjectures, Mersenne conjectures, Standard conjectures on algebraic cycles, Hardy–Littlewood zeta function conjectures, Serre's multiplicity conjectures, Homological conjectures in commutative algebra, Sendov's conjecture, Vojta's conjecture, Thurston elliptization conjecture, André–Oort conjecture, Goldbach's conjecture, Macdonald conjecture, Ramanujan–Petersson conjecture, Hirsch conjecture, Dyson conjecture, Kalai's 3^d conjecture, Szpiro's conjecture, List of conjectures by Paul Erdős, Four exponentials conjecture, Local Langlands conjectures, Abc conjecture, Restriction conjecture, Erdős–Gyárfás conjecture, Markus–Yamabe conjecture, Arnold conjecture, Kummer–Vandiver conjecture, Poincaré conjecture, Geometrization conjecture, SYZ conjecture, Hodge conjecture, Hedetniemi's conjecture, Gan–Gross–Prasad conjecture

Dickson's conjecture, Serre's conjecture, Schanuel's conjecture, Firoozbakht's conjecture, Serre's modularity conjecture, Zilber–Pink conjecture, Artin conjecture, Special values of L-functions, Mertens conjecture, Main conjecture of Iwasawa theory, Morita conjectures, Sullivan conjecture, Beal conjecture, Farrell–Jones conjecture, NLTS conjecture, Brocard's conjecture, Quillen–Lichtenbaum conjecture, Euler's conjecture, Bunyakovsky conjecture, N! conjecture, Weil conjectures, Pólya conjecture, Eilenberg–Ganea conjecture, First Hardy–Littlewood conjecture, Erdős–Faber–Lovász conjecture, Langlands program, Birch and Swinnerton-Dyer conjecture, Reconstruction conjecture, Andrica's conjecture, Brumer–Stark conjecture, Montgomery's pair correlation conjecture, Second Hardy–Littlewood conjecture, Fermat–Catalan conjecture, Polignac's conjecture, Toida's conjecture, Burr–Erdős conjecture, Kummer's conjecture, Mumford conjecture, Bateman–Horn conjecture, Fontaine–Mazur conjecture, Catalan's conjecture, Goldbach's weak conjecture, Sato–Tate conjecture, Keller's conjecture, Nakai conjecture, Ibragimov–Iosifescu conjecture for φ-mixing sequences, Agrawal's conjecture, Ross's conjecture, Lander, Parkin, and Selfridge conjecture, Hadwiger conjecture

Conjecture, Kaplansky's conjectures, List of conjectures, Ravenel's conjectures, Stark conjectures, Greenberg's conjectures, Pollock's conjectures, Tait conjectures, Tate conjecture, Arthur's conjectures, Mersenne conjectures, Standard conjectures on algebraic cycles, Hardy–Littlewood zeta function conjectures, Serre's multiplicity conjectures, Homological conjectures in commutative algebra, Sendov's conjecture, Vojta's conjecture, Thurston elliptization conjecture, André–Oort conjecture, Goldbach's conjecture, Macdonald conjecture, Ramanujan–Petersson conjecture, Hirsch conjecture, Dyson conjecture, Kalai's 3^d conjecture, Szpiro's conjecture, List of conjectures by Paul Erdős, Four exponentials conjecture, Local Langlands conjectures, Abc conjecture, Restriction conjecture, Erdős–Gyárfás conjecture, Markus–Yamabe conjecture, Arnold conjecture, Kummer–Vandiver conjecture, Poincaré conjecture, Geometrization conjecture, SYZ conjecture, Hodge conjecture, Hedetniemi's conjecture, Gan–Gross–Prasad conjecture, Dickson's conjecture, Serre's conjecture, Schanuel's conjecture, Firoozbakht's conjecture, Serre's modularity conjecture, Zilber–Pink conjecture, Artin conjecture, Special values of L-functions, Mertens conjecture, Main conjecture of Iwasawa theory, Morita conjectures, Sullivan conjecture, Beal conjecture, Farrell–Jones conjecture, NLTS conjecture, Brocard's conjecture, Quillen–Lichtenbaum conjecture, Euler's conjecture, Bunyakovsky conjecture, N! conjecture, Weil conjectures, Pólya conjecture, Eilenberg–Ganea conjecture, First Hardy–Littlewood conjecture, Erdős–Faber–Lovász conjecture, Langlands program, Birch and Swinnerton-Dyer conjecture, Reconstruction conjecture, Andrica's conjecture, Brumer–Stark conjecture, Montgomery's pair correlation conjecture, Second Hardy–Littlewood conjecture, Fermat–Catalan conjecture, Polignac's conjecture, Toida's conjecture, Burr–Erdős conjecture, Kummer's conjecture, Mumford conjecture, Bateman–Horn conjecture, Fontaine–Mazur conjecture, Catalan's conjecture, Goldbach's weak conjecture, Sato–Tate conjecture, Keller's conjecture, Nakai conjecture, Ibragimov–Iosifescu conjecture for φ-mixing sequences, Agrawal's conjecture, Ross's conjecture, Lander, Parkin, and Selfridge conjecture, Hadwiger conjecture, Cramér's conjecture, Zimmer's conjecture, Carathéodory conjecture, Erdős–Straus conjecture, Weil conjecture, Grimm's conjecture, Thomas–Yau conjecture, Bing–Borsuk conjecture, Gray's conjecture, Feit–Thompson conjecture, Lovász conjecture, Generalized Poincaré conjecture, Hall's conjecture, Baum–Connes conjecture, Vaught conjecture, Legendre's conjecture, Lemoine's conjecture, Nakayama's conjecture, Torsion conjecture, Hilbert–Pólya conjecture, Borel conjecture, Fröberg conjecture, Birch–Tate conjecture, Agoh–Giuga conjecture, Erdős–Hajnal conjecture, Selberg's 1/4 conjecture, Köthe conjecture, Collatz conjecture, Kepler conjecture, Scholz conjecture, Gilbreath's conjecture, Carmichael's totient function conjecture, Euler's sum of powers conjecture, Aanderaa–Karp–Rosenberg conjecture, Uniform boundedness conjecture for rational points, Nagata's conjecture, Norm residue isomorphism theorem, Ehrenpreis conjecture, Alternating knot, Kalman's conjecture, Hsiang–Lawson's conjecture, Schoen–Yau conjecture, Dwork conjecture, Nagata's conjecture on curves, Read's conjecture, Vizing's conjecture, Cameron–Erdős conjecture, Pierce–Birkhoff conjecture, Monomial conjecture, Dittert conjecture, Weil's conjecture on Tamagawa numbers, Egan conjecture, Union-closed sets conjecture, Kahn–Kalai conjecture, Atiyah–Jones conjecture, Erdős–Turán conjecture, Gilbert–Pollak conjecture, Oppenheim conjecture, Coclass, Berman–Hartmanis conjecture