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_cce8feed24f0b365"}

id: vea_2a2f29f4c8ebfda4
frontier: Erdős problems frontier
source: vs_671dcf11dcff3d82
finding: vf_3bc7d9c07a1c8452

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #11 remains OPEN. Statement: Is every odd $n > 1$ the sum of a squarefree number and a power of 2? Topics: number theory, additive basis. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A001220, A377587.

source binding

source-bound

cap_61973ee16b553d57 · vc_cce8feed24f0b365

vs_671dcf11dcff3d82

review context

unverified

1 events

2 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_cce8feed24f0b365"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_a81f4a4553d49116

caveats

No caveats recorded.

Review, event, and evaluation records

events

vev_5f75762211b27a4ffinding.asserted
Candidate claim vc_cce8feed24f0b365 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30

reviewable changes

vpr_97e7f6df6830e13efinding.note
SEMANTIC-EDGE DRAFT -> Erdos #9 (vf_83126944775b9ae4) [shares_technique, confidence 0.55]: Both ask whether all odd n admit an additive decomposition involving a power of 2 (P11: squarefree + power of 2; P9: prime + two powers of 2), studied via the same powers-of-2 covering/density machinery. -- 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_da8dfd3f45949a6dfinding.add
Candidate claim vc_cce8feed24f0b365 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30

evaluations

No evaluation rows are attached.

computational

open_question

cap_61973ee16b553d57 · vc_cce8feed24f0b365

1 events

Review, event, and evaluation records

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