evidence boundary
supportsfrontiers / 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
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_4e683ab2b8904482"}
- id
- vea_ed80a3fb21a8291a
- frontier
- Erdős problems frontier
- source
- vs_6cc9163a14fdef2e
- finding
- vf_7849fc5982c289d2
finding binding
boundopen_question
Erdős Problem #283 has status 'proved (lean)'. Statement: Let $p\colon \mathbb{Z} \rightarrow \mathbb{Z}$ be a polynomial whose leading coefficient is positive and such that there exists no $d≥2$ with $d ∣ p(n)$ for all $n≥1$. Is it true that, for all sufficiently large $m$, there exist integers $1≤n_1<\dots < n_k$ such that $$1=\frac{1}{n_1}+\cdots+\frac{1}{n_k}$$ and $$m=p(n_1)+\cdots+p(n_k)$$? Topics: number theory, unit fractions. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A380791.
source binding
source-boundcap_61973ee16b553d57 · vc_4e683ab2b8904482
vs_6cc9163a14fdef2e
review context
unverified1 events
1 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_4e683ab2b8904482"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_46bbcd681afbb693
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_f381b18e524cf156finding.assertedCandidate claim vc_4e683ab2b8904482 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_c9c2c88092fbafb9finding.addCandidate claim vc_4e683ab2b8904482 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.