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_ccf69557fa1d09eb

id: vs_4d1075f528b8da0c
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_ccf69557fa1d09eb

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 #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.
open_question · vf_9afd681da41bbc6f

Evidence atoms

vea_dc270ba2eb27ab28computational · supports
{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_ccf69557fa1d09eb"}

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.