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_35f69f55ce2b2cd6"}
- id
- vea_dbe43ed61a333e18
- frontier
- Erdős problems frontier
- source
- vs_92481c61c23bf069
- finding
- vf_50d220a3d1efb2eb
finding binding
boundopen_question
Erdős Problem #848 has status 'decidable'. Statement: Is the maximum size of a set $A ⊆ \{1, \dots, N\}$ such that $ab + 1$ is never squarefree (for all $a, b ∈ A$) achieved by taking those $n ≡ 7 \pmod{25}$? This asks whether `Erdos848 N` holds for all $N$ (formulated using `A ⊆ Finset.range N`). This was solved for all sufficiently large $N$ by Sawhney in this note. In fact, Sawhney proves something slightly stronger, that there exists some constant $c>0$ such that if $\lvert A\rvert \geq (\frac{1}{25}-c)N$ and $N$ is large then $A$ is contained in either $\{ n\equiv 7\pmod{25}\}$ or $\{n\equiv 18\pmod{25}\}$. Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
source binding
source-boundcap_61973ee16b553d57 · vc_35f69f55ce2b2cd6
vs_92481c61c23bf069
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_35f69f55ce2b2cd6"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_29588b627293540e
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_286a9be8e594c974finding.assertedCandidate claim vc_35f69f55ce2b2cd6 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_893757dfec257ef0finding.addCandidate claim vc_35f69f55ce2b2cd6 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.