List of Conjectures - Open Problems

Open Problems

• The 1/3 − 2/3 conjecture
• abc conjecture
• Andrews–Curtis conjecture
• Angel problem
• Agoh–Giuga conjecture
• Andrica's conjecture
• Artin conjectures
• Bateman–Horn conjecture
• Baum–Connes conjecture
• Beal's conjecture
• Beilinson conjecture
• Berry–Tabor conjecture
• Birch and Swinnerton-Dyer conjecture
• Birch–Tate conjecture
• Birkhoff conjecture
• Bloch–Beilinson conjectures
• Bombieri-Lang conjecture
• Borel conjecture
• Bost conjecture
• Brocard's conjecture
• Brumer–Stark conjecture
• Bunyakovsky conjecture
• Catalan–Dickson conjecture on aliquot sequences
• Carathéodory conjecture
• Carmichael totient conjecture
• Catalan's Mersenne conjecture
• Cherlin–Zilber conjecture
• Circular Law
• Collatz conjecture
• Cramér's conjecture
• Conway's thrackle conjecture
• Deligne conjecture disambiguation
• Eilenberg−Ganea conjecture
• Elliott–Halberstam conjecture
• Erdős–Burr conjecture
• Erdős–Faber–Lovász conjecture
• Erdős–Gyárfás conjecture
• Farrell–Jones conjecture
• Filling area conjecture
• Frankl conjecture
• Gauss circle problem
• Gilbreath conjecture
• Giuga's conjecture
• Goldbach's conjecture
• Goldbach's weak conjecture
• Gold partition conjecture
• Goormaghtigh conjecture
• Green's conjecture
• Grimm's conjecture
• Grothendieck–Katz p-curvature conjecture
• Hadamard conjecture
• Hanna Neumann conjecture
• Happy Ending Conjecture
• Hedetniemi's conjecture
• Hilbert–Smith conjecture
• Hirsch conjecture
• Hopf conjecture
• Hodge conjecture
• Homological conjectures in commutative algebra
• Jacobian conjecture
• Jacobson's conjecture
• Kakeya conjecture(s)(five problems)
• Kakeya needle problem
• Kaplansky conjecture
• Keating–Snaith conjecture
• Köthe conjecture
• Lawson's conjecture
• Lenstra–Pomerance–Wagstaff conjecture
• Lichtenbaum conjecture
• List coloring conjecture
• Littlewood conjecture
• Lovász conjecture
• Marshall Hall's conjecture
• Mazur's conjectures
• Deligne conjecture in monodromy
• Montgomery's pair correlation conjecture
• New Mersenne conjecture
• Novikov conjecture
• Oppermann's conjecture
• Petersen coloring conjecture
• Pierce–Birkhoff conjecture
• Pillai's conjecture
• De Polignac's conjecture
• Quillen–Lichtenbaum conjecture
• Reconstruction conjecture
• Riemann Hypotheses: see also Weil conjectures, above
  • Riemann hypothesis
    • Generalized Riemann hypothesis
    • Grand Riemann hypothesis
  • Density hypothesis
  • Lindelöf hypothesis
  • Hilbert–Pólya conjecture on the Riemann hypothesis
• Ringel-Kotzig conjecture
• Schanuel's conjecture
• Schinzel's hypothesis H
• Scholz conjecture
• Second Hardy–Littlewood conjecture
• Selfridge's conjecture
• Sendov's conjecture
• Serre conjecture (number theory)
• Serre's multiplicity conjectures
• Singmaster's conjecture
• Standard conjectures on algebraic cycles
• Tate conjecture
• Twin prime conjecture
• Uniformity conjecture
• Vandiver's conjecture
• Waring's conjecture
• Weight-monodromy conjecture
• Weinstein conjecture
• Whitehead conjecture
• Zhou conjecture