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_9a744c7bc1866dd5

id: vs_6d1990743b238628
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_9a744c7bc1866dd5

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 #3 remains OPEN. Statement: If $A \subset \mathbb{N} has $\sum_{n \in A}\frac 1 n = \infty$, then must $A$ contain arbitrarily long arithmetic progressions? Topics: number theory, additive combinatorics, arithmetic progressions. Erdős prize: $5000. Statement is machine-verified in Lean (formal-conjectures). OEIS: A003002, A003003, A003004, A003005.
open_question · vf_6f307ef73915ae96

Evidence atoms

vea_5f9b9b02f1500b54computational · supports
{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_9a744c7bc1866dd5"}

Review, event, and evaluation records

events

vev_9271a70d4a2f21e0finding.asserted
Candidate claim vc_9a744c7bc1866dd5 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_455114364d12c5b5finding.note
SEMANTIC-EDGE DRAFT -> Erdos #219 (vf_0cf052d918abf92d) [depends_on, confidence 0.6]: P3 (does divergent reciprocal sum force arbitrarily long APs) applied to the primes yields long prime APs (P219), the famous special case resolved by Green-Tao. -- 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_ff085c96f9ced1b1finding.add
Candidate claim vc_9a744c7bc1866dd5 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30

evaluations

No evaluation rows are attached.