Erdős·erdos:1049
Erdős Problem 1049
No independent check recorded yet. A formal artifact, declaration or published object is attached, but no rebuild of it is recorded here.
Fidelity F2: The statement corpus cites this proof against its own statement.
irrationality·Source
AI activity
How grades workNo AI contribution recorded against this statement.
Fidelity
How fidelity is gradedF2 declared. The statement corpus cites this proof against its own statement.
Declared by the projects
1As each project's formalization.yaml states it.
Eight Erdős problem programmes: checked mathematics
- authors
- Will Cook
- method
- agent — OpenAI Codex and other disclosed agent systems
- review
- self-assessed
- axioms
- Classical.choice, Quot.sound, propext
- sorry
- 8 unproved goals declared
- results
- 49 main results named, checked with Comparator, with an alignment table
- sources
- Erdős Problems 68, 243, 249, 251, 257, 269, 1041, and 1049 — background, authors n/a; Repository problem notes and cited-source registry — adapts, authors n/a
- divergences
- Using the degree-seven polynomial constructed by the erdosproblems.com contributor ani, Lean proves that every preconnected strict-lemniscate set containing two distinct roots has one-dimensional Hausdorff measure greater than two. This refutes the exact Formal Conjectures path-image-length statement; the separate total-variation bound is also checked. The other seven targets remain open. Independent human review of correspondence with the 1958 wording has not been recorded. Comparator checks only selected exact statements, axioms and kernel acceptance; it does not assess novelty or historical correspondence.
- checked by
- nobody independent of its authors yet
Follow and discuss
All discussionFollow this problem
An email when it has a new claim, check, bounty or discussion. You confirm once and can stop with one click.
Discussion and bounties for this problem load here.
Seen recently
What the monitors picked up in the last thirty days, not yet graded.
Something wrong or missing here? Request a correction or add a claim, with its sources.
Claims and corrections from readers
All of themFormal material
Formal statements · 1
Also known as · 3
- https://www.erdosproblems.com/1049
- https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/ErdosProblems/1049.lean
- FormalConjectures/ErdosProblems/1049.lean
Cite this record
qed.bot, “Erdős Problem 1049”, https://qed.bot/s/erdos-1049, as of 30 Sep 2026.