Top Open Problems
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-3151 The Hadwiger Covering Conjecture
- Math-3152 The Happy Ending Problem
- Math-3153 Ehrhart's Volume Conjecture
- Math-3154 Sphere Packing in High Dimensions
- Math-3155 The Sunflower Conjecture
- Math-3156 Lehmer's Totient Problem
- Math-3157 Newman's Conjecture
- Math-3158 Infinitely Many Perfect Numbers
- Math-3159 Normality of Pi
- Math-3160 Waring's Problem: Exact Values
- Math-3161 Density of Ulam Numbers
- Math-3162 Hilbert-Pólya Conjecture
- Math-3163 Brocard's Conjecture (Prime Gaps)
- Math-3164 Sunflower Conjecture
- Math-3165 Lovász Conjecture
- Math-3166 Novikov Conjecture
- Math-3167 MLC Conjecture
- Math-3168 Maximum Givens in Minimal Sudoku
- Math-3169 Chern's Conjecture (Affine Geometry)
- Math-3170 Orchard-Planting Problem
- Math-3171 Borromean Rings Question
- Math-3172 Brouwer's Conjecture on Graph Laplacians
- Math-3173 Eternal Domination vs Domination Number
- Math-3174 1-Factorization Conjecture
- Math-3175 Cereceda's Conjecture
- Math-3176 Jaeger's Petersen Coloring Conjecture
- Math-3177 List Coloring Conjecture
- Math-3178 Oberwolfach Problem
- Math-3179 Tuza's Conjecture
- Math-3180 Zarankiewicz Problem
- Math-3181 Characterization of Word-Representable Planar Graphs
- Math-3182 Word-Representable Graphs: Forbidden Subgraph Characterization
- Math-3183 Word-Representable Near-Triangulations
- Math-3184 Representation Number 3 Classification
- Math-3185 Crown Graphs and Longest Word-Representants
- Math-3186 Line Graphs of Non-Word-Representable Graphs
- Math-3187 Imbalance Conjecture
- Math-3188 Implicit Graph Conjecture
- Math-3189 Teschner's Bondage Number Conjecture
- Math-3190 Tutte's 4-Flow Conjecture for Petersen-Minor-Free Graphs
- Math-3191 Keisler's Order
- Math-3192 Serre's Conjecture II
- Math-3193 Uniform Boundedness Conjecture for Rational Points
- Math-3194 Berge Conjecture
- Math-3195 Volume Conjecture
- Math-3196 Euler-Mascheroni Constant Irrationality
- Math-3197 Hardy-Littlewood Conjecture A (Prime k-tuples)
- Math-3198 Infinitude of Sophie Germain Primes
- Math-3199 Erdős $5000 Problem on Prime Gaps
- Math-3200 Density of Symmetric Primes