Mathematics
Open problems, research attempts and community review.
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-1001 Erdős Problem #961
- Math-1002 Erdős Problem #962
- Math-1003 Erdős Problem #968
- Math-1004 Erdős Problem #969
- Math-1005 Erdős Problem #970
- Math-1006 Erdős Problem #971
- Math-1007 Erdős Problem #972
- Math-1008 Graphs of exact colorings
- Math-1009 Waring rank of determinant
- Math-1010 $C^r$ Stability Conjecture
- Math-1011 Rainbow AP(4) in an almost equinumerous coloring
- Math-1012 Monotone 4-term Arithmetic Progressions
- Math-1013 Even vs. odd latin squares
- Math-1014 3-accessibility of Fibonacci numbers
- Math-1015 Wide partition conjecture
- Math-1016 Dividing up the unrestricted partitions
- Math-1017 Square achievement game on an n x n grid
- Math-1018 The Double Cap Conjecture
- Math-1019 Extremal $4$-Neighbour Bootstrap Percolation in the Hypercube
- Math-1020 Combinatorial covering designs
- Math-1021 A nowhere-zero point in a linear mapping
- Math-1022 The additive basis conjecture
- Math-1023 The permanent conjecture
- Math-1024 Rota's unimodal conjecture
- Math-1025 Bases of many weights
- Math-1026 Aharoni-Berger conjecture
- Math-1027 Saturated $k$-Sperner Systems of Minimum Size
- Math-1028 The large sets conjecture
- Math-1029 Edge-antipodal colorings of cubes
- Math-1030 Big Line or Big Clique in Planar Point Sets
- Math-1031 Average diameter of a bounded cell of a simple arrangement
- Math-1032 Simplexity of the n-cube
- Math-1033 Kneser–Poulsen conjecture
- Math-1034 Inequality of the means
- Math-1035 Covering a square with unit squares
- Math-1036 Partitioning the Projective Plane
- Math-1037 Chromatic number of associahedron
- Math-1038 Convex Equipartitions with Extreme Perimeter
- Math-1039 Edge-Unfolding Convex Polyhedra
- Math-1040 Fat 4-polytopes
- Math-1041 Cube-Simplex conjecture
- Math-1042 Pebbling a cartesian product
- Math-1043 Edge Reconstruction Conjecture
- Math-1044 Shannon capacity of the seven-cycle
- Math-1045 Star chromatic index of cubic graphs
- Math-1046 Star chromatic index of complete graphs
- Math-1047 Minimal graphs with a prescribed number of spanning trees
- Math-1048 The Borodin-Kostochka Conjecture
- Math-1049 Stable set meeting all longest directed paths.
- Math-1050 Arc-disjoint strongly connected spanning subdigraphs