数学上の未解決問題
ヤコビアン予想(The Jacobian conjecture)
Schanuel's conjecture and four exponentials conjecture
レーマーの予想(en:Lehmer's conjecture)
Pompeiu problem
γ(オイラーの定数),π + e, π − e, πe, π/e, π, π, π、 e, ln π, 2, e, カタランの定数(英語版), ヒンチンの定数(英語版), これらは代数的無理数(代数的数であり、無理数でもある数)か、超越数か?これらの無理数度の値は何か?
Khabibullin’s conjecture on integral inequalities
ヒルベルトの23の問題の13番目(en:Hilbert's thirteenth problem)
Vitushkin's conjecture
Is every finitely presented periodic group finite?
The inverse Galois problem: is every finite group the Galois group of a Galois extension of the rationals?
For which positive integers m, n is the free Burnside group B(m,n) finite? In particular, is B(2, 5) finite?
Is every group surjunctive?
Andrews–Curtis conjecture
Herzog–Schönheim conjecture
Does generalized moonshine exist?
コクセター群の同型問題
The reconstruction conjecture and new digraph reconstruction conjecture concerning whether or not a graph is recognizable by the vertex deleted subgraphs.
The cycle double cover conjecture that every bridgeless graph has a family of cycles that includes each edge twice.
Does a Moore graph with girth 5 and degree 57 exist?
Conway's thrackle conjecture
Negami's conjecture on the characterization of graphs with planar covers
The Blankenship–Oporowski conjecture on the book thickness of subdivisions
Hedetniemi's conjecture
Vizing's conjecture(英語版)