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_231b8611e3ad3987"}

id: vea_ffbfa87de44db4bd
frontier: Erdős problems frontier
source: vs_4217073075a75ea1
finding: vf_9f04f9669b5b7388

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #10 remains OPEN. Statement: Is there some $k$ such that every integer is the sum of a prime and at most $k$ powers of $2$? Topics: number theory, additive basis, primes. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A387053.

source binding

source-bound

cap_61973ee16b553d57 · vc_231b8611e3ad3987

vs_4217073075a75ea1

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_231b8611e3ad3987"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_50a3d410dfe269bc

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_1b1fb95ae0e94513finding.asserted
Candidate claim vc_231b8611e3ad3987 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_330e2b28bdbf0f44finding.note
SEMANTIC-EDGE DRAFT -> Erdos #9 (vf_83126944775b9ae4) [specializes, confidence 0.82]: P9's 'two powers of 2' case is the k=2 instance of P10's prime-plus-at-most-k-powers-of-2 framework. -- 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_572584d5de69022cfinding.add
Candidate claim vc_231b8611e3ad3987 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
vpr_e64916f392192821finding.note
SEMANTIC-EDGE DRAFT -> Erdos #16 (vf_377ba211ef539d40) [specializes, confidence 0.8]: P16 (odd integers not of form 2^k+p) is the k=1 instance of P10's general prime-plus-at-most-k-powers-of-2 representation. -- 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_231b8611e3ad3987

1 events

Review, event, and evaluation records

Search Vela