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

Source record

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cap_61973ee16b553d57 · vc_e15dd74067fdfe41

id: vs_37176db99ccc7543
frontier: Erdős problems frontier
type: synthetic_report

source boundary

frontier-owned

synthetic

finding bindings

record context

1 findings

evidence atoms

materialized

1 atoms

review context

inspectable

1 events

2 reviewable changes and 0 evaluations are attached through this source or its findings.

citation

external source

locator

title:cap_61973ee16b553d57 · vc_e15dd74067fdfe41

imported

2026-05-30T00:42:06.826507+00:00

extraction mode

artifact_to_state_import

authors

Erdős Open-Problem spine ingest

caveats

source requires human review before being treated as evidence

Bound findings

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.
open_question · vf_5a65e348c1b296c0

Evidence atoms

vea_7b8dbae63097ee3acomputational · supports
{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_e15dd74067fdfe41"}

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.