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_a15439034f0e7073"}
- id
- vea_709ae366b2219c8c
- frontier
- Erdős problems frontier
- source
- vs_87518e9b6ee6a84c
- finding
- vf_9488e94315642e8a
finding binding
boundopen_question
Erdős Problem #845 has status 'disproved (lean)'. Statement: Let $C > 0$. Is it true that the set of integers of the form $n = b_1 + \cdots + b_t$, with $b_1 < \cdots < b_t$, where $b_i = 2^{k_i}3^{l_i}$ for $1 \leq i\leq t$ and $b_t \leq Cb_1$ has density $0$? van Doorn and Everts \cite{vDEv25} have disproved this with $C=6$ - in fact, they prove that all integers can be written as such a sum in which $b_t<6b_1$. This was formalized in Lean by Alexeev using Aristotle. Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
source binding
source-boundcap_61973ee16b553d57 · vc_a15439034f0e7073
vs_87518e9b6ee6a84c
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_a15439034f0e7073"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_f7337f3421b739c1
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_4a83abe3ec6589e9finding.assertedCandidate claim vc_a15439034f0e7073 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_887b540ade2de0eefinding.addCandidate claim vc_a15439034f0e7073 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.