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_75c72d05000b217f"}

id: vea_bab47ca646b2c140
frontier: Erdős problems frontier
source: vs_955ee64dbf002ae7
finding: vf_f8fd3ed0562f3ca8

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #306 remains OPEN. Statement: Let $\frac a b\in \mathbb{Q}_{>0}$ with $b$ squarefree. Are there integers $1 < n_1 < \dots < n_k$, each the product of two distinct primes, such that $\frac{a}{b}=\frac{1}{n_1}+\cdots+\frac{1}{n_k}$? Topics: number theory, unit fractions. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_75c72d05000b217f

vs_955ee64dbf002ae7

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_75c72d05000b217f"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_504a4e2cd87ab50c

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_4d1d02899d798e73finding.asserted
Candidate claim vc_75c72d05000b217f imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_3b7e455bb3607115finding.add
Candidate claim vc_75c72d05000b217f imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
vpr_b2be0c70da174c04finding.note
SEMANTIC-EDGE DRAFT -> Erdos #304 (vf_33f5a809ba6ed690) [specializes, confidence 0.6]: Problem 306 asks for Egyptian-type representations of a/b restricted to denominators that are products of two distinct primes, a constrained variant of representing a/b as a sum of unit fractions (304). -- 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

evaluations

No evaluation rows are attached.

computational

open_question

cap_61973ee16b553d57 · vc_75c72d05000b217f

1 events

Review, event, and evaluation records

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