erdos

Composable mathematics tools for agents

Modular and modern graph-theory algorithms framework in Java

A toolkit for AI agents to explore and attempt Erdős's 1,179 unsolved mathematical problems

Certified unit-distance point sets and graphs for discrete geometry in Rust.

CLI and workspace for Paul Erdos problems.

Computational evidence isolating the log(n) spreadness artifact in the Erdős k=3 Sunflower Conjecture via bitmask-accelerated Simulated Annealing.

Independent Python reproduction of the 2026 OpenAI/Sawin disproof of the Erdős unit-distance conjecture. mpmath-200-bit verbatim match (0.01% rel.err) to equation (2.2) of the remarks PDF. MIT, NumPy + mpmath only.

AI trying to tackle erdos problems

Proof package for a certified pointwise lower bound in the Erdős unit-distance problem

Erdos-SDSLabs solutions using Python (Mostly)

A tighter proven upper bound for the Erdős minimum overlap constant, with machine-verifiable certificates (note + code + certs).

Computational experiments for Erdős-style combinatorial conjectures

Reproducible generator for Erdős problem LaTeX, metadata, status, formalization, and AI provenance

An adversarially-verified compendium: 8 Putnam proofs + 8 open Erdős surveys, built by a 110-agent fleet (Fable conducted, Opus solved/verified, Sonnet typeset).

SAT + verified LRAT certificate for a covering-system lower bound (Erdős #273), plus a segmented sieve extending verified ranges for #385 and #647 to 1.0011e12

Certified global lower-bound improvement for the Erdos minimum-overlap problem: c_E > 0.38055925 via independent Arb and MPFI checks; the exact value remains open.

Solutions of various online judges

Royce — bioinformatics (cfDNA cancer detection, mRNA × AI tooling) and verified math in Lean 4 (Navier–Stokes + Erdős #125). HKT.

Reproducing AlphaEvolve's SOTA bound on the Erdős minimum-overlap problem with an evolutionary LLM pipeline (OpenEvolve) — converges in ~10 iterations, two independent backends, one-command verifier

Interactive explorer for unit-distance graphs