Category:Unsolved problems in mathematics

• List of unsolved problems in mathematics

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• List of unsolved problems in statistics

A

• Abc conjecture
• Abundance conjecture
• Agoh–Giuga conjecture
• Andrica's conjecture
• Arnold–Givental conjecture
• Artin's conjecture on primitive roots
• Atiyah conjecture on configurations

B

• Balanced prime
• Bass conjecture
• Baum–Connes conjecture
• Beal conjecture
• Beggar-my-neighbour
• Bellman's lost in a forest problem
• Bing–Borsuk conjecture
• Birch–Tate conjecture
• Bloch's theorem (complex variables)
• Bombieri–Lang conjecture
• Borel conjecture
• Brocard's conjecture
• Brocard's problem
• Brown numbers
• Brumer–Stark conjecture
• Burnside problem

C

• Carmichael's totient function conjecture
• Carol number
• Casas-Alvero conjecture
• Chern's conjecture (affine geometry)
• Chern's conjecture for hypersurfaces in spheres
• Class number problem
• Clifford's theorem on special divisors
• Congruent number
• Connes embedding problem
• Constant problem
• Conway's 99-graph problem
• Cousin prime
• Covering problem of Rado
• Covering system
• Crouzeix's conjecture
• Cuboid conjectures
• Cullen number
• Cycle double cover

D

• Dickson's conjecture
• Discrepancy of hypergraphs
• Discrepancy theory
• Dissection into orthoschemes
• Divisor summatory function
• Dixmier conjecture
• Double Mersenne number

E

• Eilenberg–Ganea conjecture
• Einstein problem
• Elliott–Halberstam conjecture
• Erdős conjecture on arithmetic progressions
• Erdős–Faber–Lovász conjecture
• Erdős–Hajnal conjecture
• Erdős–Straus conjecture
• Erdős–Turán conjecture on additive bases
• Erdős–Ulam problem
• Erdős–Moser equation
• Euclid number
• Euclid–Mullin sequence
• Euler brick
• Euler–Mascheroni constant

F

• Farrell–Jones conjecture
• Feit–Thompson conjecture
• Fermat number
• Fermat–Catalan conjecture
• Fibonacci prime
• Finite lattice representation problem
• Firoozbakht's conjecture
• Four exponentials conjecture
• Friendly number
• Fröberg conjecture
• Fujita conjecture

G

• Gauss circle problem
• Gaussian moat
• Gillies' conjecture
• Giuga number
• GNRS conjecture
• Goldbach's conjecture
• Graceful labeling
• Grand Riemann hypothesis
• Greenberg's conjectures
• Grimm's conjecture
• Grothendieck–Katz p-curvature conjecture
• Gyárfás–Sumner conjecture

H

• Hadamard matrix
• Hadamard's maximal determinant problem
• Hadwiger conjecture (combinatorial geometry)
• Hadwiger conjecture (graph theory)
• Hadwiger–Nelson problem
• Hall's conjecture
• Harborth's conjecture
• Hermite's problem
• Herzog–Schönheim conjecture
• Hilbert's ninth problem
• Hilbert's sixteenth problem
• Hilbert's fifteenth problem
• Hilbert–Pólya conjecture
• Hilbert–Smith conjecture
• Homological conjectures in commutative algebra
• Hopf conjecture

I

• Idoneal number
• Inscribed square problem
• Invariant subspace problem
• Inverse Galois problem

J

• Jacobian conjecture
• Jacobson's conjecture
• Juggler sequence

K

• Kobon triangle problem
• Köthe conjecture
• Kummer–Vandiver conjecture
• Kynea number

L

• Landau's constants
• Landau's problems
• Lander, Parkin, and Selfridge conjecture
• Lebesgue's universal covering problem
• Legendre's conjecture
• Lehmer's conjecture
• Lehmer's totient problem
• Lemoine's conjecture
• Leopoldt's conjecture
• Lindelöf hypothesis
• List of problems in loop theory and quasigroup theory
• Littlewood conjecture
• Lonely runner conjecture
• Lovász conjecture
• Lychrel number

M

• Magic square
• Manin conjecture
• Map folding
• McMullen problem
• Mean value problem
• Mersenne conjectures
• Mersenne prime
• Montgomery's pair correlation conjecture
• Moser's worm problem
• Moving sofa problem

N

• N conjecture
• Navier–Stokes existence and smoothness
• New digraph reconstruction conjecture
• Newman–Shanks–Williams prime

O

• Oberwolfach problem
• Odd greedy expansion
• Open Problems in Mathematics

P

• P versus NP problem
• Painlevé conjecture
• Palindromic prime
• Pell number
• Perfect number
• Pierce–Birkhoff conjecture
• Pierpont prime
• Polignac's conjecture
• Pollock's conjectures
• Pompeiu problem
• Prime quadruplet
• Prime triplet
• Problems in Latin squares
• Problems involving arithmetic progressions

Q

• Quasiperfect number

R

• Redmond–Sun conjecture
• Regular prime
• Resolution of singularities
• Riemann hypothesis
• Riesel number
• Rota's basis conjecture

S

• Sato–Tate conjecture
• Schanuel's conjecture
• Schinzel's hypothesis H
• Scholz conjecture
• Second Hardy–Littlewood conjecture
• Section conjecture
• Sendov's conjecture
• Serre's conjecture II (algebra)
• Serre's multiplicity conjectures
• Sexy prime
• Sierpinski number
• Skolem problem
• Smale's problems
• Square packing in a square
• Standard conjectures on algebraic cycles
• Stark conjectures
• Sumner's conjecture
• Sums of three cubes
• Superperfect number
• Supersingular prime (algebraic number theory)
• Szpiro's conjecture
• Szymanski's conjecture

T

• Tarski's exponential function problem
• Tate conjecture
• Tripod packing
• Turán's brick factory problem
• Twin prime

U

• Ulam's packing conjecture
• Union-closed sets conjecture
• Unknotting problem

V

• Vaught conjecture
• Virasoro conjecture
• Vizing's conjecture