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Conjectures and Refutations

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

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

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

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