Conjectures and Refutations

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

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

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