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

e1288/1288 · statement.registered · agent:claude-proxy · 2026-06-10 · null→null

Evidence atom

back to sources

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_9c0f8ee01b5b9920"}

id: vea_f430e0cdfe012319
frontier: Erdős problems frontier
source: vs_22d7a041358066f3
finding: vf_7a5088c28448c2c9

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #288 remains OPEN. Statement: Is it true that there are only finitely many pairs of intervals $I_1$, $I_2$ such that $$ \sum_{n_1 \in I_1} \frac{1}{n_1} + \sum_{n_2 \in I_2} \frac{1}{n_2} \in \mathbb{N}? $$ 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_9c0f8ee01b5b9920

vs_22d7a041358066f3

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_9c0f8ee01b5b9920"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_19c14f2d4f5fff6f

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_1a408e073d19bc88finding.asserted
Candidate claim vc_9c0f8ee01b5b9920 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_614b5ba5359eb1bafinding.add
Candidate claim vc_9c0f8ee01b5b9920 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
vpr_aa4a65dce771b4e4finding.note
SEMANTIC-EDGE DRAFT -> Erdos #289 (vf_e03590a9131c59a7) [related, confidence 0.7]: Both study sums of reciprocals over finite intervals hitting target rational values; 288 asks finiteness for two intervals while 289 asks existence for k intervals, the same interval-reciprocal framework. -- 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_9c0f8ee01b5b9920

1 events

Review, event, and evaluation records

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