Mathematics catalogue
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-7751 Kummer–Vandiver conjecture
- Math-7752 Constant-Parameter Quantum Locally Testable Codes
- Math-7753 Existence of a p-Optimal Propositional Proof System
- Math-7754 Least quadratic nonresidue modulo a prime
- Math-7755 Iwaniec Conjecture for the Beurling-Ahlfors Transform Norm
- Math-7756 Strong Hyperplane Conjecture for Isotropic Constants
- Math-7757 The Word Problem for One-Relation Monoids
- Math-7758 Benjamini-Schramm conjecture p_c<p_u for non-amenable Cayley graphs
- Math-7759 Strongly Compact vs Supercompact Cardinals
- Math-7760 Asymptotic Turan Numbers of Even Cycles
- Math-7761 Fujita Freeness Conjecture
- Math-7762 Kobayashi Conjecture: Hyperbolic Compact Kähler Manifolds Have Ample Canonical Bundle
- Math-7763 Nagata Conjecture on Plane Curve Linear Systems
- Math-7764 Beal's Conjecture
- Math-7765 Igusa’s Standard p-Adic Monodromy Conjecture
- Math-7766 Sharp Multidimensional Star-Discrepancy Asymptotics
- Math-7767 In spherical or hyperbolic geometry, must polyhedra with the same volume and Dehn invariant be scissors-congruent
- Math-7768 Shelah's Categoricity Conjecture for L_omega1,omega
- Math-7769 Corona Problem for the Unit Ball in Several Complex Variables
- Math-7770 Hyperkähler SYZ (Lagrangian Fibration) Conjecture
- Math-7771 Four Exponentials Conjecture
- Math-7772 Growth of finitely presented groups
- Math-7773 Combinatorial interpretation of Kronecker coefficients
- Math-7774 The Dixmier Unitarisability Problem
- Math-7775 NP-Hardness of Constant-Factor Approximation for Densest k-Subgraph
- Math-7776 Černý Conjecture on Shortest Reset Words of Synchronizing Automata
- Math-7777 Ivrii conjecture on periodic billiard orbits
- Math-7778 Toms–Winter: Strict Comparison Implies Z-Stability
- Math-7779 Partition Regularity of Pythagorean Triples
- Math-7780 Bad Groups of Finite Morley Rank
- Math-7781 Brauer-Manin obstruction to the Hasse principle for K3 surfaces
- Math-7782 The Filling Area Conjecture
- Math-7783 Green’s Canonical Syzygy Conjecture for Arbitrary Curves
- Math-7784 Lieb-Thirring Conjecture on the Sharp Constant for Riesz Means of Order One in Three Dimensions
- Math-7785 Bourgain's unbounded Sobolev orbit problem for cubic defocusing NLS on the square two-torus
- Math-7786 Pugh–Shub Stable Ergodicity (C^r Density in Partial Hyperbolicity)
- Math-7787 Serre's Positivity Conjecture
- Math-7788 Are There Infinitely Many Sophie Germain Primes?
- Math-7789 The Thomson problem
- Math-7790 Global Regularity of the 3D Incompressible Hall-MHD Equations for Large Data
- Math-7791 Multiplicative minimum and bounded diagonal orbits
- Math-7792 Margulis–Platonov normal-subgroup conjecture
- Math-7793 Arnold-Givental Lagrangian intersection conjecture
- Math-7794 Rokhlin problem on multiple mixing
- Math-7795 Whitehead Conjecture
- Math-7796 Bartnik's cosmological splitting conjecture
- Math-7797 Clemens Conjecture for Rational Curves on a General Quintic Threefold
- Math-7798 Gromov-Lawson-Rosenberg Conjecture for Finite Fundamental Groups
- Math-7799 Long-Time Existence of the Calabi Flow on Compact Kaehler Manifolds
- Math-7800 Pólya's Conjecture for Dirichlet Eigenvalues