proposed
reason
Candidate claim vc_2af409e77728f93f imported from artifact packet cap_61973ee16b553d57
finding type
open_question
proposed confidence
0.99
confidence basis
agent-imported candidate claim; reviewer acceptance required
frontiers / frontier
e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null
Reviewable change
back to reviewErdős Problem #488 has status 'falsifiable'. Statement: Let $A$ be a finite set and $$B=\{ n \geq 1 : a\mid n\textrm{ for some }a\in A\}.$$ Is it true that, for every $m>n\geq \max(A)$, $$\frac{\lvert B\cap [1,m]\rvert }{m}< 2\frac{\lvert B\cap [1,n]\rvert}{n}?$$ Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
accept gate
1 of 4 on recordtimeline
vpr_ed4a8111f2954993Candidate claim vc_2af409e77728f93f imported from artifact packet cap_61973ee16b553d57null→382a84d2vev_2237de1b00a8b34bCandidate claim vc_2af409e77728f93f imported from artifact packet cap_61973ee16b553d57proposed
reason
Candidate claim vc_2af409e77728f93f imported from artifact packet cap_61973ee16b553d57
finding type
open_question
proposed confidence
0.99
confidence basis
agent-imported candidate claim; reviewer acceptance required
provenance
proposed by
agent:erdos-spine-ingest
actor type
agent
created at
2026-05-30
target type
finding
affected
inspect finding →Erdős Problem #488 has status 'falsifiable'. Statement: Let $A$ be a finite set and $$B=\{ n \geq 1 : a\mid n\textrm{ for some }a\in A\}.$$ Is it true that, for every $m>n\geq \max(A)$, $$\frac{\lvert B\cap [1,m]\rvert }{m}< 2\frac{\lvert B\cap [1,n]\rvert}{n}?$$ Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
vf_29c8b747d0aa12afRead-only frontier; diff not recomputed.
Erdős problems frontier receives a reviewable source, finding, caveat, replication, evaluation, or proof-affecting edit.
The packet names affected record objects, evidence, rationale, reviewer-facing fields, and expected proof impact.
Schema, provenance, benchmark, contradiction, and proof checks decide whether the request is ready to read.
A steward accepts, rejects, caveats, revises, or retracts the request under an inspectable identity.
Only the accepted event mutates frontier state. Atlases, constellations, and search update from that record state.
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