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_1776f8af76b5ee52"}
- id
- vea_b812c075f8088d3a
- frontier
- Erdős problems frontier
- source
- vs_406a414f849f736e
- finding
- vf_f3d53f6c9139a26e
finding binding
boundtheoretical
Erdős Problem #1064 has been PROVED (Erdős's conjecture holds). Statement: Let $ϕ(n)$ be the Euler's totient function, then the $n$ satisfies $ϕ(n)>ϕ(n - ϕ(n))$ have asymptotic density 1. Reference: [LuPo02] Luca, Florian and Pomerance, Carl, On some problems of {M}\polhk akowski-{S}chinzel and {E}rd\H os concerning the arithmetical functions {$\phi$} and {$\sigma$}. Colloq. Math. Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A051488, A051487.
source binding
source-boundcap_61973ee16b553d57 · vc_1776f8af76b5ee52
vs_406a414f849f736e
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_1776f8af76b5ee52"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_c0b7ee7340598198
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_1f5f5549eadeef7ffinding.assertedCandidate claim vc_1776f8af76b5ee52 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_3a18e560037afb25finding.addCandidate claim vc_1776f8af76b5ee52 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.