Conjectures and Refutations

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

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

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