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This is a list of mathematical conjectures, by Wikipedia page. They are divided into four sections, according to their status in 2006.

See also:

• Erdős conjecture, which lists conjectures of Paul Erdős and his collaborators
• Unsolved problems in mathematics
• List of unsolved problems
• Millennium Prize Problems

and, for proved results,

• List of theorems, list of lemmas;

also

• List of statements undecidable in ZFC

for problems not subject to conventional proof nor disproof.

Contents 1 Proved (now theorems) 2 Disproved 3 Recent work 4 Open problems

[edit] Proved (now theorems)

The theorems may not be their official names.

• Adams conjecture (J-homomorphism)
• Bieberbach conjecture (De Branges' theorem)
• Blattner's conjecture (Blattner formula)
• Catalan's conjecture (Mihăilescu's theorem)
• Conway-Norton conjecture (Monstrous moonshine)
• Dinitz conjecture (Galvin's theorem)
• Dodecahedral conjecture (Hales-McLaughlin theorem)
• Epsilon conjecture (Ribet's theorem)
• Fermat's Last Theorem
• Gradient conjecture (Kurdyka-Mostowski-Parusinski theorem)
• Heawood conjecture (Ringel-Youngs' theorem)
• Kummer's conjecture on cubic Gauss sums (Kummer sum)
• Mahler-Manin conjecture
• Manin-Mumford conjecture (Raynaud's theorem)
• Milnor conjecture (Voevodsky's theorem)
• Mordell conjecture (Faltings' theorem)
• Mumford conjecture (Haboush's theorem)
• Oppenheim conjecture (Margulis' theorem)
• Ramanujan conjecture on the cusp form Δ (proved by the proof of the Weil conjectures)
• Segal's Burnside ring conjecture (Carlsson theorem)
• Serre's conjecture (Quillen-Suslin theorem)
• Seymour's conjecture
• Smith conjecture (Gordon's theorem)
• Star height problem (Hashiguchi theorem)
• Strong perfect graph conjecture (Chudnovsky-Robertson-Seymour-Thomas theorem)
• Sullivan conjecture
• Tameness conjecture (Agol or Calegari-Gabai theorem)
• Taniyama-Shimura conjecture (Taniyama–Shimura theorem)
• Wagner's conjecture (Robertson-Seymour theorem)
• Weil conjectures (Deligne's theorems)

[edit] Disproved

• Borsuk's conjecture
• Euler's conjecture
• Ganea conjecture
• Generalized Smith conjecture
• Hauptvermutung
• Intersection graph conjecture
• Kouchnirenko's conjecture
• Mertens conjecture
• Pólya conjecture
• Ragsdale conjecture
• Tait's conjecture
• Von Neumann conjecture
• Weyl-Berry conjecture

[edit] Recent work

• Bloch-Kato conjecture
• Erdős–Straus conjecture
• Herzog-Schönheim conjecture
• Hilbert-Smith conjecture
• Kepler conjecture
• Nagata conjecture on automorphisms
• Poincaré conjecture
• Sato-Tate conjecture
• Thurston's conjecture

[edit] Open problems

• abc conjecture
• Andrews-Curtis conjecture
• Agoh-Giuga conjecture
• Artin conjectures
• Atiyah conjecture
• Bateman-Horn conjecture
• Baum-Connes conjecture
• Beal's conjecture
• Beilinson conjecture
• Berry-Tabor conjecture
• Birch and Swinnerton-Dyer conjecture
• Birch-Tate conjecture
• Bloch-Beilinson conjectures
• Borel conjecture
• Bost conjecture
• Collatz conjecture
• Cramér's conjecture
• Deligne conjecture disambiguation
• Eilenberg-Ganea conjecture
• Elliott-Halberstam conjecture
• Erdős-Burr conjecture
• Erdős-Gyárfás conjecture
• Farrell-Jones conjecture
• Frankl conjecture
• Gilbreath conjecture
• Goldbach's conjecture
• Goldbach's weak conjecture
• Grimm's conjecture
• Hadamard conjecture
• Hedetniemi's conjecture
• Hopf conjecture
• Hodge conjecture
• Homological conjectures in commutative algebra
• Jacobian conjecture
• Keating-Snaith conjecture
• Lawson's conjecture
• Lenstra-Pomerance-Wagstaff conjecture
• Lichtenbaum conjecture
• List coloring conjecture
• Littlewood conjecture
• Lovász conjecture
• Marshall Hall's conjecture
• Mazur's conjectures
• Monodromy conjecture
• New Mersenne conjecture
• Novikov conjecture
• Petersen coloring conjecture
• Pierce-Birkhoff conjecture
• Pillai's conjecture
• De Polignac's conjecture
• Quillen-Lichtenbaum conjecture
• Reconstruction conjecture
• Riemann Hypotheses: see also Weil conjectures, above
  • Riemann hypothesis
    • Generalized Riemann hypothesis
    • Grand Riemann hypothesis
  • Density hypothesis
  • Lindelöf hypothesis
  • Hilbert-Pólya conjecture on the Riemann hypothesis
• Schanuel's conjecture
• Schinzel's hypothesis H
• Scholz conjecture
• Second Hardy-Littlewood conjecture
• Selfridge's conjecture
• Serre's multiplicity conjectures
• Singmaster's conjecture
• Tate conjecture
• Twin prime conjecture
• Vandiver's conjecture
• Weight-monodromy conjecture
• Whitehead conjecturefr:Liste des conjectures mathématiques

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