evidence boundary
supportsfrontiers / frontier
Erdős problems frontier
- id
- vfr_37aec80d874a0239
- license
- CC-BY-4.0
- findings
- 1,256
- accepted core
- 6
- contested
- 0
- links
- 17
- sources
- 1,234
- evidence
- 1,256
- avg conf
- 0.98
e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null
Evidence atom
back to sources{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_bb9b2bbf9f48c816"}
- id
- vea_0d2ee60720d8bd80
- frontier
- Erdős problems frontier
- source
- vs_d1f7642d04a89308
- finding
- vf_5f64d8060fa9a4a1
finding binding
boundopen_question
Erdős Problem #355 has status 'proved (lean)'. Statement: Is there a lacunary sequence $A\subseteq \mathbb{N}$ (so that $A=\{a_1 < \cdots\}$ and there exists some $\lambda > 1$ such that $a_{n+1}/a_n\geq \lambda$ for all $n\geq 1$) such that $$\left\{ \sum_{a\in A'}\frac{1}{a} : A'\subseteq A\textrm{ finite}\right\}$$ contain all rationals in some open interval? Bleicher and Erdős conjectured the answer is no. In fact the answer is yes, with any lacunarity constant $\lambda\in (1,2)$ (though not $\lambda=2$), as proved by van Doorn and Kova\v{c} [DoKo25]. This was formalized in Lean by van Doorn using Aristotle. Topics: number theory, unit fractions. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
source binding
source-boundcap_61973ee16b553d57 · vc_bb9b2bbf9f48c816
vs_d1f7642d04a89308
review context
unverified1 events
1 reviewable changes and 0 evaluation records target this atom or its bound objects.
statement
{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_bb9b2bbf9f48c816"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_9f761c4493eb37bc
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_44cc2545eaf4f9ecfinding.assertedCandidate claim vc_bb9b2bbf9f48c816 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_a78993ad9ede985afinding.addCandidate claim vc_bb9b2bbf9f48c816 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.