A Genus 2 Curve over the Rationals with a Rational Torsion Point of Prime Order at Least 31

Short Superpermutations over 8, 9, and 10

A Baillie–PSW Pseudoprime

Chowla's Cosine Problem

Large $\ell$-Rank in Class Groups of Imaginary Quadratic Fields

A Rational Diophantine Septuple

The Earth–Moon Problem

Existence of EFX Allocations

Elliptic Curves over $\mathbb{Q}$ of Large Rank

Euler's Sum of Powers Conjecture

Many Rational Points on a Genus-2 Curve

Hadamard Matrix of Order 668

Hall's Conjecture

Littlewood Polynomials with Large Normalized Mahler Measure

Leech Trees

The Rank of the $4\times4$ Matrix-Multiplication Tensor

The No-Three-in-Line Problem

Prime-Generating Polynomial Systems in Five Variables

The Ramsey Number $R(6,6)$

Book Ramsey Numbers

Large Integer Solutions to a Cubic Diophantine Equation

Sum of Three Cubes

A Presentation of the Absolute Galois Group of $\mathbb{Q}_2$

The Arithmetic Kakeya Conjecture

Condorcet Winning Sets

Conway's 99-Graph Problem

Sensitivity versus Degree for Boolean Multilinear Polynomials

Elliptic Curves with Prescribed Number of Points

A shape with Heesch number 7

The Hirsch Conjecture in Dimension 4

The Inverse Galois Problem for the Mathieu Group $M_{23}$

Large Steiner Systems

The Missing Moore Graph

A counterexample to Wilf's Conjecture

Polynomial Entire Minimal Graphs

Dense Polynomials Whose Squares Are Sparse

Class Group Algorithms

The Slice–Ribbon Conjecture and the GST Knot

A Prescribed Class-Group Structure for an Imaginary Quadratic Field

A Negative Coefficient in a Stretched Littlewood–Richardson Polynomial

Conway's Thrackle Conjecture

The Core in Approval-Based Committee Elections

The Elliptic-Curve Discrete Logarithm Problem (ECDLP)

The Jones Unknot Conjecture

The Lonely Runner Conjecture

Pólya's Conjecture for the Dirichlet Laplacian

Symplectic Ball Packing

Apéry-Style Irrationality Proofs via Linear Recurrences

Improve the Best-known Classical Factorization Algorithms

The Smooth Four-Dimensional Poincaré Conjecture