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_2f6f67321d0c99a8"}

id: vea_5b09ba53184f116b
frontier: Erdős problems frontier
source: vs_55445408f1d77790
finding: vf_83126944775b9ae4

evidence boundary

supports

computational

finding binding

bound

open_question

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.

source binding

source-bound

cap_61973ee16b553d57 · vc_2f6f67321d0c99a8

vs_55445408f1d77790

review context

unverified

1 events

3 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_2f6f67321d0c99a8"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_145793208bcec6a6

caveats

No caveats recorded.

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.

computational

open_question

cap_61973ee16b553d57 · vc_2f6f67321d0c99a8

1 events

Review, event, and evaluation records

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