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_e15dd74067fdfe41"}

id: vea_7b8dbae63097ee3a
frontier: Erdős problems frontier
source: vs_37176db99ccc7543
finding: vf_5a65e348c1b296c0

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #386 remains OPEN. Statement: There is a $k$, such that $2 \le k \le n - 2$ and $\binom{n}{k}$ can be the product of consecutive primes infinitely often? Topics: number theory, binomial coefficients. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A280992.

source binding

source-bound

cap_61973ee16b553d57 · vc_e15dd74067fdfe41

vs_37176db99ccc7543

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_e15dd74067fdfe41"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_88408581df82d442

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_12edb96c801e4000finding.asserted
Candidate claim vc_e15dd74067fdfe41 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_889ec26d4fa2e778finding.note
SEMANTIC-EDGE DRAFT -> Erdos #387 (vf_b3b3b5863382d573) [related, confidence 0.55]: Both concern the multiplicative/divisor structure of binomial coefficients (386: C(n,k) as a product of consecutive primes; 387: C(n,k) having a divisor in (cn,n]), analyzed through prime factorizations of binomials. -- 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_ada30f0bfed491a7finding.add
Candidate claim vc_e15dd74067fdfe41 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_e15dd74067fdfe41

1 events

Review, event, and evaluation records

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