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_2bf4dcc6b11c0700"}

id: vea_8fb0e30d89a3bdab
frontier: Erdős problems frontier
source: vs_0e1e5268036c472f
finding: vf_359c6e30cd652e65

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #376 remains OPEN. Statement: Are there infinitely many $n$ such that ${2n\choose n}$ is coprime to $105$? Topics: number theory, binomial coefficients, base representations. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A030979.

source binding

source-bound

cap_61973ee16b553d57 · vc_2bf4dcc6b11c0700

vs_0e1e5268036c472f

review context

unverified

1 events

3 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_2bf4dcc6b11c0700"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_15f21c63bc72e053

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_aca8795e07ac975dfinding.asserted
Candidate claim vc_2bf4dcc6b11c0700 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_55ea06c633042b8dfinding.note
SEMANTIC-EDGE DRAFT -> Erdos #396 (vf_6514a3669c0d3857) [related, confidence 0.55]: Both are divisibility questions about the central binomial coefficient C(2n,n) controlled via Kummer/Legendre prime-exponent analysis (376: coprimality to 105; 396: divisibility by a product of consecutive integers). -- 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_c5a5197458713842finding.note
SEMANTIC-EDGE DRAFT -> Erdos #377 (vf_507e61fe107d57bb) [related, confidence 0.78]: Both study which primes divide the central binomial coefficient C(2n,n): 376 asks for n with C(2n,n) coprime to 105 (no prime 3,5,7), 377 sums reciprocals of primes <n not dividing C(2n,n). -- 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_db39d2cde2f1dcc8finding.add
Candidate claim vc_2bf4dcc6b11c0700 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_2bf4dcc6b11c0700

1 events

Review, event, and evaluation records

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