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_f7a87c42fff52207"}
- id
- vea_9a20df3ea896229b
- frontier
- Erdős problems frontier
- source
- vs_2dd6fff0bbdf417b
- finding
- vf_7d8cb8ee64887166
finding binding
boundopen_question
Erdős Problem #1141 has status 'disproved (lean)'. Statement: Are there infinitely many $n$ such that $n-k^2$ is prime for all $k$ with $(n,k)=1$ and $k^2 < n$? In [Va99] it is asked whether $968$ is the largest integer with this property, but this is an error, since for example $968-9=7\cdot 137$. The list of $n$ satisfying the given property is [A214583] in the OEIS. The largest known such $n$ is $1722$. The answer is negative: [APSSV26b] proves a stronger finiteness theorem, deducing it from Pollack [Po17]. Oriike [Or26] formalised the deduction in Lean. Topics: number theory, primes. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A214583.
source binding
source-boundcap_61973ee16b553d57 · vc_f7a87c42fff52207
vs_2dd6fff0bbdf417b
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_f7a87c42fff52207"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_39d86b9259967eda
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_09a54246fda19749finding.assertedCandidate claim vc_f7a87c42fff52207 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_4402372c6101ea2cfinding.addCandidate claim vc_f7a87c42fff52207 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.