frontiers / 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

used by 0 · replayed by 2 producers

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_d69ec77d5b78a1f6"}

id: vea_3986aee2277cfa8f
frontier: Erdős problems frontier
source: vs_abd6e8bcffa684b8
finding: vf_87595279cb9eda1e

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #66 remains OPEN. Statement: Is there and $A \subset \mathbb{N}$ is such that $$\lim_{n\to \infty}\frac{1_A\ast 1_A(n)}{\log n}$$ exists and is $\ne 0$? Topics: number theory, additive basis. Erdős prize: $500. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_d69ec77d5b78a1f6

vs_abd6e8bcffa684b8

review context

unverified

1 events

2 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_d69ec77d5b78a1f6"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_1aca4f7075cf3867

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_23ea3123e4a514b3finding.asserted
Candidate claim vc_d69ec77d5b78a1f6 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_648555cc87cee166finding.note
SEMANTIC-EDGE DRAFT -> Erdos #28 (vf_5a2c00494580cf86) [related, confidence 0.65]: Both concern the asymptotic behavior of the representation function 1_A*1_A(n) for additive sets; 28 bounds its limsup when A+A is cofinite, 66 asks whether 1_A*1_A(n)/log n can tend to a nonzero limit. -- LLM-drafted (20-agent extraction, 2026-06); NOT adjudicated. Accept or reject via `vela proposals accept/reject` under reviewer authority.
pending_review · agent:semantic-edge-extractor · 2026-06-10
vpr_c18b4b86510c657efinding.add
Candidate claim vc_d69ec77d5b78a1f6 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30

evaluations

No evaluation rows are attached.

computational

open_question

cap_61973ee16b553d57 · vc_d69ec77d5b78a1f6

1 events

Review, event, and evaluation records

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