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Conjectures

Solved
A conjecture on equitable colorings proven in 1970 by András Hajnal and Endre Szemerédi and now known as the Hajnal–Szemerédi theorem.The Erdős–Lovász conjecture on weak/strong delta-systems, p ...
2014-3-16 11:23
Unsolved
The Erdős–Burr conjecture on Ramsey numbers of graphs.The Erdős–Faber–Lovász conjecture on coloring unions of cliques.The Erdős–Gyárfás conjecture on cycles with lengths equal to a power of ...
2014-3-16 11:22
List of conjectures by Paul Erdős
The prolific mathematician Paul Erdős and his various collaborators made many famous mathematical conjectures, over a wide field of subjects, and in many cases Erdős offered monetary rewards for sol ...
2014-3-16 11:22
Disproved (no longer conjectures)
Atiyah conjecture (not a conjecture to start with)Borsuk's conjectureChinese hypothesis (not a conjecture to start with)Euler's sum of powers conjectureGanea conjectureGeneralized Smith conjectureHaup ...
2014-3-16 11:21
Proved (now theorems)
The theorems may not be their official names.Adams conjecture (J-homomorphism)Andrews–Curtis conjectureBieberbach conjecture, 1916 (De Branges' theorem, 1984)Blattner's conjecture (Blattner formula)B ...
2014-3-16 11:21
Open problems
1/3–2/3 conjectureabc conjecture (proof claimed by Shinichi Mochizuki)Andrews–Curtis conjectureAngel problem (several proofs claimed in 2007)Agoh–Giuga conjectureAndrica's conjectureArtin conjectur ...
2014-3-16 11:20

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