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_9044c0d63ac24c6c"}

id: vea_8d0b1a0419db7115
frontier: Erdős problems frontier
source: vs_f1066f61efe4b93d
finding: vf_66ff04a041674bcf

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #233 remains OPEN. Statement: A conjecture by Heath-Brown: The sum of squares of the first $N$ gaps between consecutive primes behaves like $N * (log N)^2$. Topics: number theory, primes. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A074741.

source binding

source-bound

cap_61973ee16b553d57 · vc_9044c0d63ac24c6c

vs_f1066f61efe4b93d

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_9044c0d63ac24c6c"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_01121bbd6392e7b5

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_cf63b14e8af0662dfinding.asserted
Candidate claim vc_9044c0d63ac24c6c imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_27cc7eca5acc38f6finding.add
Candidate claim vc_9044c0d63ac24c6c imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
vpr_3aa15fd1f52f73d2finding.note
SEMANTIC-EDGE DRAFT -> Erdos #234 (vf_1f3b08bef5e8ebc2) [related, confidence 0.6]: Both concern the fine distribution of prime gaps d_n relative to log n: 233 on the second moment sum of d_n, 234 on the distribution function of d_n/log n, governed by the same Cramér-type gap model. -- 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_9044c0d63ac24c6c

1 events

Review, event, and evaluation records

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