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Conjectures and Refutations

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

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

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

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