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_ccf69557fa1d09eb"}

id: vea_dc270ba2eb27ab28
frontier: Erdős problems frontier
source: vs_4d1075f528b8da0c
finding: vf_9afd681da41bbc6f

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #200 remains OPEN. Statement: Does the longest arithmetic progression of primes in $\{1,\ldots,N\}$ have length $o(\log N)$? Topics: primes, arithmetic progressions. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A005115.

source binding

source-bound

cap_61973ee16b553d57 · vc_ccf69557fa1d09eb

vs_4d1075f528b8da0c

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_ccf69557fa1d09eb"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_cec29da3127d9489

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_1652ff0234be2a53finding.asserted
Candidate claim vc_ccf69557fa1d09eb imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_20aa304fc4de0f42finding.add
Candidate claim vc_ccf69557fa1d09eb imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
vpr_e780b859570fcf09finding.note
SEMANTIC-EDGE DRAFT -> Erdos #3 (vf_6f307ef73915ae96) [related, confidence 0.6]: Both ask about arithmetic progressions among a sparse density-zero set (primes for 200, general sum-of-reciprocals-divergent sets for 3); the prime case is the canonical instance motivating Erdős's general AP conjecture. -- 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_ccf69557fa1d09eb

1 events

Review, event, and evaluation records

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