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-501 Quillen's $p$-Subgroup Conjecture
- Math-502 Chern's Affine Conjecture
- Math-503 F-Conjecture for the Nef Cone of Mbar_(0,n)
- Math-504 CAT(0) Actions of Artin Groups
- Math-505 A certified bound of 236 for bounded prime gaps
- Math-506 No percolation at the critical point on $\mathbb{Z}^d$
- Math-507 Irrationality of e+pi
- Math-508 Sphere Packing in Higher Dimensions
- Math-509 Gilbreath's Conjecture
- Math-510 Ramsey Number R(5,5)
- Math-511 The Lonely Runner Conjecture
- Math-512 The Graceful Tree Conjecture
- Math-513 Smale's 9th Problem: Linear Programming in Polynomial Time
- Math-514 Brocard's Problem
- Math-515 The Erdős-Straus Conjecture
- Math-516 Product-Free Sets in Finite Groups
- Math-517 Sum-Free Subsets of [N]^d
- Math-518 Progressions in Subsets of Z/NZ
- Math-519 Tuples in Dense Sets
- Math-520 4-term APs in Fourier Uniform Sets
- Math-521 Linear Equation x + 3y = 2z + 2w
- Math-522 Progressions in F_3^n with Boolean Common Differences
- Math-523 Corner Problem in Product Sets
- Math-524 Large Cosets in Iterated Sumsets
- Math-525 Largest Coset in 2A
- Math-526 Additive Complements and Cosets
- Math-527 Partitions and Large Cosets
- Math-528 Sumsets Containing Composites
- Math-529 Sumsets of Perfect Squares
- Math-530 Products of Primes Modulo p
- Math-531 Multiplicatively Closed Set Density
- Math-532 Primes with p-2 Having Odd Omega
- Math-533 Difference Sets Containing Squares
- Math-534 Gaps Between Sums of Two Squares
- Math-535 No Three in Line in [N]^2
- Math-536 Small Triangles in the Unit Disc
- Math-537 Axis-Parallel Rectangles in Dense Sets
- Math-538 Equidistribution of Integer Multiples
- Math-539 Random Permutations Fixing k-Sets
- Math-540 Trace Reconstruction
- Math-541 Bounds for Birch's Theorem
- Math-542 Rado's Boundedness Conjecture
- Math-543 Monochromatic x+y and xy
- Math-544 Affine Translates of {0,1,3}
- Math-545 Sets with No Unique Sum Representations
- Math-546 Uniform Random Variables with Uniform Sum
- Math-547 Large Subsets of Approximate Groups
- Math-548 Optimal Sidon Bases
- Math-549 Cap Sets in F_7^n
- Math-550 Hamming Ball Covering Growth