Category
page 1Conjectures that have been proved
Fermat's Last Theorem
theorem in number theory that there are no nontrivial integer solutions of xⁿ+yⁿ=zⁿ for integer n>2
Poincaré conjecture
theorem in geometric topology that every simply connected, closed 3-manifold is homeomorphic to the 3-sphere
Catalan's conjecture
theorem about consecutive powers
Goldbach's weak conjecture
conjecture about prime numbers
modularity theorem
theorem in mathematics
Kepler conjecture
mathematical theorem about sphere packing
geometrization conjecture
theorem that closed 3-manifolds uniquely decompose into pieces with 1 of 8 types of geometric structure
de Branges's theorem
theorem
Erdős–Graham problem
Theorem on the existence of finite sets of positive integers >1 whose inverses sum to 1
honeycomb conjecture
theorem that states that a regular hexagonal grid is the best way to divide a surface into regions of equal area with the least total perimeter
Cameron–Erdős conjecture
Theorem on the number of sum-free sets contained in 1,...,N
Ringel–Youngs theorem
theorem on the number of colors needed for graphs embedded on higher genus surfaces
Duffin–Schaeffer theorem
theorem in metric number theory
Serre's modularity conjecture
theorem
Erdős–Burr conjecture
Painlevé conjecture
Physical theorem
Dinitz conjecture
theorem in combinatorics on the extension of arrays to partial Latin squares
Milnor conjecture
Waring's prime number conjecture