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The theorems may not be their official names. Adams conjecture (J-homomorphism) Andrews–Curtis conjecture Bieberbach conjecture, 1916 (De Branges' theorem, 1984) Blattner's conjecture (Blattner formula) Bounded gap conjecture (Zhang Yitang, 2013) Burnside conjecture (Feit–Thompson theorem) Cameron–Erdős conjecture Catalan's conjecture, 1844 (Mihăilescu's theorem, 2002) Conway–Norton conjecture (monstrous moonshine) Dinitz conjecture (Galvin's theorem) Deligne's conjecture on 1-motives Denjoy's conjecture Dodecahedral conjecture (Hales–McLaughlin theorem) Epsilon conjecture (Ribet's theorem) Fermat's Last Theorem (Andrew Wiles' proof in 1994) Frobenius conjecture (Iiyori and Yamaki) 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) Poincaré conjecture, 1904 (theorem about the characterization of the three-dimensional sphere) Oppenheim conjecture (Margulis' theorem) Ramanujan–Petersson conjecture (consequence of the proof of the Weil conjectures) Road coloring conjecture, 1970 (2008) Scheinerman's conjecture (proved 2009) Segal's Burnside ring conjecture (Carlsson theorem) Serre's conjecture (Quillen–Suslin theorem) Serre's modularity conjecture (proved 2008) Seymour's conjecture Smith conjecture (Gordon's theorem) Stanley–Wilf conjecture (Marcus–Tardos 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 (Modularity theorem) Thurston's geometrization conjecture (3-manifolds of the uniformization theorem for surfaces) Wagner's conjecture (Robertson–Seymour theorem) Weil conjectures (Deligne's theorems) |
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