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_fc829988318a65ca"}
- id
- vea_f1ccada8e97e2b26
- frontier
- Erdős problems frontier
- source
- vs_81c1e49537ab5151
- finding
- vf_eb851957b3e6491f
finding binding
boundopen_question
Erdős Problem #275 has status 'proved (lean)'. Statement: If a finite system of $r$ congruences $\{ a_i\pmod{n_i} : 1\leq i\leq r\}$ (the $n_i$ are not necessarily distinct) covers $2^r$ consecutive integers then it covers all integers. This is best possible as the system $2^{i-1}\pmod{2^i}$ shows. This was proved independently by Selfridge and Crittenden and Vanden Eynden [CrVE70]. This was formalized in Lean by Alexeev using Aristotle. Topics: number theory, covering systems. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
source binding
source-boundcap_61973ee16b553d57 · vc_fc829988318a65ca
vs_81c1e49537ab5151
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_fc829988318a65ca"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_66f9f58923581b9f
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_c4af4c04a53c5d92finding.assertedCandidate claim vc_fc829988318a65ca imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_18708a2413e6c531finding.addCandidate claim vc_fc829988318a65ca imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.