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_2f6f67321d0c99a8

id: vs_55445408f1d77790
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

3 reviewable changes and 0 evaluations are attached through this source or its findings.

citation

external source

locator

title:cap_61973ee16b553d57 · vc_2f6f67321d0c99a8

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 #9 remains OPEN. Statement: Is the upper density of the set of odd numbers that cannot be expressed as a prime plus two powers of 2 positive? Topics: number theory, additive basis, primes. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A006286.
open_question · vf_83126944775b9ae4

Evidence atoms

vea_5b09ba53184f116bcomputational · supports
{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_2f6f67321d0c99a8"}

Review, event, and evaluation records

events

vev_3d04d686e497c1d1finding.asserted
Candidate claim vc_2f6f67321d0c99a8 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_58f521bd5bd2fd88finding.note
SEMANTIC-EDGE DRAFT -> Erdos #16 (vf_377ba211ef539d40) [related, confidence 0.82]: P16 (odd integers not of form 2^k+p, i.e. prime + one power of 2) and P9 (not prime + two powers of 2) are consecutive cases of the same prime-plus-powers-of-2 representation question. -- 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_700e0247265ed747finding.add
Candidate claim vc_2f6f67321d0c99a8 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
vpr_b54b2746a60ebaf4finding.note
SEMANTIC-EDGE DRAFT -> Erdos #10 (vf_9f04f9669b5b7388) [specializes, confidence 0.85]: P10 (numbers expressible as a prime plus at most k powers of 2) generalizes the k=2 case; P9 is its complement asking which odd numbers are NOT a prime plus two powers of 2. -- 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.