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
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_91a4dd608a6df5ee"}
- id
- vea_36ef779b025d803a
- frontier
- Erdős problems frontier
- source
- vs_ae8129e27bb78bfd
- finding
- vf_cb4c6d98c517c621
finding binding
boundtheoretical
Erdős Problem #825 has been PROVED (Erdős's conjecture holds). Statement: Is there an absolute constant $C > 0$ such that every integer $n$ with $\sigma(n) > Cn$ is the distinct sum of proper divisors of $n$? This has been solved in the affirmative by Larsen - in fact, for any $\epsilon>0$ there exists $L$ such that if $n$ has only prime divisors $>L$ and $\sigma(n)>(2+\epsilon)n$ then $n$ is the distinct sum of proper divisors of $n$. Topics: number theory. Erdős prize: $25. Statement is machine-verified in Lean (formal-conjectures). OEIS: A006037, A330244.
source binding
source-boundcap_61973ee16b553d57 · vc_91a4dd608a6df5ee
vs_ae8129e27bb78bfd
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_91a4dd608a6df5ee"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_320ed3b28ec60daf
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_880a9913b5e4ccb3finding.assertedCandidate claim vc_91a4dd608a6df5ee imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_01b392b32e32fe6bfinding.addCandidate claim vc_91a4dd608a6df5ee imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.