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List of unsolved problems in mathematics

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List of unsolved problems in mathematics
Millennium Prize Problems
Hilbert's problems
Landau's problems
Smale's problems
Millennium Prize Problems
P versus NP problem
Hodge conjecture
Riemann hypothesis
Yang–Mills existence and mass gap
Navier–Stokes existence and smoothness
Birch and Swinnerton-Dyer conjecture
Poincaré conjecture
Generalized Poincaré conjecture
Algebra
Homological conjectures in commutative algebra
Hilbert's sixteenth problem
Hilbert's fifteenth problem
Hadamard matrix
Jacobson's conjecture
Euler brick
Cuboid conjectures
Wild problem
Köthe conjecture
Birch–Tate conjecture
Serre's conjecture II (algebra)
Glossary of arithmetic and diophantine geometry
Farrell–Jones conjecture
Kaplansky's conjecture
Kummer–Vandiver conjecture
Serre's multiplicity conjectures
Pierce–Birkhoff conjecture
Eilenberg–Ganea conjecture
Clifford's theorem on special divisors
Grothendieck–Katz p-curvature conjecture
Sendov's conjecture
Algebraic geometry
Abundance conjecture
Bass conjecture
Pierre Deligne
Fröberg conjecture
Fujita conjecture
Jacobian conjecture
Manin conjecture
Nakai conjecture
Resolution of singularities
Standard conjectures on algebraic cycles
Section conjecture
Tate conjecture
Virasoro conjecture
Analysis
Schanuel's conjecture
Four exponentials conjecture
Lehmer's conjecture
Pompeiu problem
Khabibullin's conjecture on integral inequalities
Hilbert's thirteenth problem
Analytic capacity
Combinatorics
Union-closed sets conjecture
Lonely runner conjecture
Singmaster's conjecture
1/3–2/3 conjecture
Markov number
Kronecker coefficient