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Erdős problems frontier

constellation seal · derived from vfr_37aec80d874a0239
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

used by 0 · replayed by 2 producers

e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null

Reviewable change

back to review

add a finding

claimed — no verifier run, no signed judgmentopen

Erdős #488 [partial_proof/draft]: Whether |B∩[1,m]|/m < 2|B∩[1,n]|/n for B=multiples of a finite set A. Exhaustive+random search over ~16000 families: ZERO counterexamples; worst ratio always single-element A={a} at n=2a-1,m=2a giving — Whether |B∩[1,m]|/m < 2|B∩[1,n]|/n for B=multiples of a finite set A. Exhaustive+random search over ~16000 families: ZERO counterexamples; worst ratio always single-element A={a} at n=2a-1,m=2a giving exactly 2-1/a (sharp, unattained). Single-element subcase proven; general union-of-APs case open (slack arguments fail at the tight constant 2).

id
vpr_6039b371ae0a9d9b
frontier
Erdős problems frontier
kind
finding.add
created
2026-06-04

A proposal; no authority until an accepted review event.

accept gate

0 of 4 on record
·
signature
no terminal verdict yet
·
chain
no state transition yet
—
witness
no verifier attachment on record for this target
·
grade
target not (yet) in frontier state

timeline

  1. 2026-06-04proposeproposed · finding.addagent — machine actor, no signing keyagent:canopus-erdosvpr_6039b371ae0a9d9bCandidate claim vc_af3c54dc227d3479 imported from artifact packet cap_3130f5ceb6cfc895

proposed

reason

Candidate claim vc_af3c54dc227d3479 imported from artifact packet cap_3130f5ceb6cfc895

finding type

theoretical

proposed confidence

0.50

confidence basis

agent-imported candidate claim; reviewer acceptance required

provenance

proposed by

agent — machine actor, no signing keyagent:canopus-erdos

actor type

agent

created at

2026-06-04

target type

finding

Diff

Read-only frontier; diff not recomputed.

Review chain

  1. 01request

    Change request

    Erdős problems frontier receives a reviewable source, finding, caveat, replication, evaluation, or proof-affecting edit.

    open review →
  2. 02packet

    Diff packet

    The packet names affected record objects, evidence, rationale, reviewer-facing fields, and expected proof impact.

    open the campaign →
  3. 03checks

    Check output

    Schema, provenance, benchmark, contradiction, and proof checks decide whether the request is ready to read.

    inspect checks →
  4. 04review

    Reviewer decision

    A steward accepts, rejects, caveats, revises, or retracts the request under an inspectable identity.

    read queue →
  5. 05accepted

    Accepted event

    Only the accepted event mutates frontier state. Atlases, constellations, and search update from that record state.

    inspect events →

finding.noted · reviewer:will-blair · 1 day

renders the record as of vev_d199cb2e · 1,338 events · hub

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