Mahler's $Z$-number problem in its generalized form
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Transparent triage
Replay-ready,
not guaranteed.
A replay-ready signal requires a public primary source, a
non-candidate/non-contested/non-retracted status, and verification at or
above source_audited. It is not a mathematical success
probability.
Normality of a sum of two Stoneham constants
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The Hilbert transform-UMD dependence problem
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Binary normality of a localized logarithm value
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Minimum-Rank and Mortality Bounds for Finite Real Matrix Monoids
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The ceiling of the single-letter entropy method for the union-closed sets conjecture
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Finite-time blowup for the 3D incompressible Euler equations with smooth forcing
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Finite-time blowup for the inviscid Boussinesq system with smooth forcing
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An improved lower bound for the Shannon capacity of $C_{11}$
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Reciprocal-triple-free sets: the finite plateau at 732
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Prime Gaps at Most 186
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A new bound for small gaps between primes: $H_1 \le 212$
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$(\xi\alpha^n)_{n\ge1}$ is not uniformly distributed modulo one for Pisot $\alpha$ and $\xi$ in the Cantor set $C(\alpha)$
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Erdős Problem #126: prime divisors of pairwise sums
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Erdős Problem #74: locally almost bipartite graphs of infinite chromatic number
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Erdős Problem #1: sum-distinct sets
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The Lyons–White conjecture: rate-monotonicity of $\ell^{2m}$ distances for random walks on dihedral groups
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Erdős Problem #571: rational exponents for bipartite Turán numbers
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Erdős Problem #548: the Erdős–Sós conjecture
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A tilted residue-class construction for long prime-free intervals
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A Conjecture on Triple Counts for the Kasami APN Function
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Erdős Problem #501: infinite independent sets for families of small outer measure
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Composites Among $[\xi 7^n]$ and Right-Truncatable Primes in Base 7
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Exact order-three ambiguity of the Einstein-Maxwell-dilaton coupling $a^2$ in metric jets, and its fourth-order collapse
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Phelps–Rodriguez Conjecture
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The Proportion of Zeta Zeros on the Critical Line
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Matrix-Tree Obstruction for Half-Collinear Graviton Vertices
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The Huang-Jiang-Oblomkov Conjecture at a = 3
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Sendov's Conjecture
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The Generalized Vanishing Conjecture
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The Divisible Rank-Three Case of the Kajitani–Ueno–Miyano Conjecture
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Lower Bounds for Multivariate Independence Polynomials
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Gabor Frames of Totally Positive Functions
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Schiffer's Conjecture and the Pompeiu Problem
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The Middle Stair of Parallel Chip-Firing
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Asymptotically attaining the Moore bound
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Upper Bounds for High-Dimensional Sphere Packing
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Lower Bounds for the Permanent in Arithmetic Circuits
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Upper Bounds for Binary and Spherical Codes
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Local limits along squares and prime values of digital functions
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An Erdős–Kac law for base-$b$ palindromes and for reversed primes
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Prime values of digital functions along the primes
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Record Lower Bounds for the Shannon Capacity of Odd Cycles
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The Han-Xiong Integer Trace Conjecture
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The Tu-Deng Conjecture
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Erdős Problem #106
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Huneke-Wiegand Conjecture
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Optimal Exponent Relating Sumsets and Difference Sets
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Written on the Wall II, Graph Conjecture 109
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Kemeny Rank Aggregation for Three Voters
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Crouzeix's Conjecture
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Feige's Conjecture
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Explicit Presentation of the 2-adic Absolute Galois Group
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Written on the Wall II, Graph Conjecture 103
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Written on the Wall II, Graph Conjecture 143
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Erdős Problem #469
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Kourovka Problem 21.150 - Rank Inequality for p-Group Extensions
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Kourovka Problem 20.125 - Noninjective Rota-Baxter Operator
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Kourovka Problem 21.24 - Cograph Power Graphs Are Chordal
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Kourovka Problem 3.46 - Maximal Locally Soluble Normal Subgroups
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Kourovka Problem 21.8 - Horizontal Class Transpositions
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Kourovka Problem 21.147 - Relatively Convex Subgroups
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Kourovka Problem 18.50 - Prescribed Permuted-Product Cardinality
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Gaussian product inequality conjecture
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Kourovka Problem 19.25 - Totient Sums and Simplicity
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Jacobian Conjecture
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Sabidussi's Compatibility Conjecture
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Erdős Problem #769
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Erdős Problem #130
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Erdős Problem #959
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Erdős Problem #709
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Erdős Problem #1189
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Elizalde-Luo Pattern-Avoidance Conjecture
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Grothendieck's Finite Flat Group Scheme Order Question
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Cycle Double Cover Conjecture
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Strichartz's Question on Fourier Frames for the Cantor Measure
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Erdős Problem #866
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Erdős Problem #123
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Erdős Problem #793
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FGG Conjecture for QAOA on the Ring of Disagrees
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The Erdos-Sos Pairwise-Sums Problem
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Kannan–Tetali–Vempala conjecture (bipartite/binary-matrix case)
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Erdős Problem #176
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The Ramachandra-Natarajan Pairwise Independent Correlation Gap Conjecture
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Erdős Problem #942
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Erdős Problem #539
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FullRSB Jamming Identity a + b = 1
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Log-Concavity of Codimension-Three Pure O-Sequences
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Erdős Problem #12
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Four-Particle Monochromatic Quantum Graphs
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Erdős Problem #138
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Written on the Wall II, Graph Conjecture 2
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Monochromatic Quantum Graphs in the Diagonal Family
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Ben Green's Open Problem 57
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The Ballantine-Beck-Feigon-Maurischat Conjectures on Subsum Polynomials
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Integral Local Invariant Cycles in Degree One
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Erdős Problem #1039
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Total Variation for the Lamplighter Walk on Z
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Return Probability for the Lamplighter Walk on a Tree
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Erdős Problem #1032
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Erdős's Planar Unit Distance Conjecture
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Optimal Strategies in the All-Heads Coin Game
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Nathanson's Problems on Product Intersection Sets
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Erdős Problem #670: Diameter with Separated Distances
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Anderson's Quasi-Completeness Question
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Last-Iterate Rate for Anchored Gradient Descent-Ascent
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Erdős Problem #1196: Primitive Sets
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Sárközy's Conjecture on Sums and Products Modulo a Prime
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The Lattice Triangle Problem in the Hard Obtuse Window
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Hamilton Decompositions of the Directed 3-Torus
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Simplicity of the Hodge Bundle
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Equilibria of the Vlasov-Maxwell-Landau System
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Erdős Problem #966
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Almost All Primes are Partially Regular
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Chen-Gendron Spin-Parity Identity for k-Differentials
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Fel's Conjecture on Syzygies of Numerical Semigroups
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Erdős Problem #1040
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A Generalization of Boppana's Entropy Inequality
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Erdős Problem #728: Factorial Divisibility
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Erdős Problem #1026: Monotonic Subsequence Sums
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Erdős Problem #707: Sidon Sets and Perfect Difference Sets
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