Vela

frontiers / frontier

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

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_c287d5a6b1f945dc"}

id
vea_c9cec9740237c090
frontier
Erdős problems frontier
source
vs_2fe29cd371868785
finding
vf_d72e9119de22c7fb

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #1145 remains OPEN. Statement: Let $A=\{1\leq a_1 < a_2 < \cdots\}$ and $B=\{1\leq b_1 < b_2 < \cdots\}$ be sets of integers with $a_n/b_n\to 1$. If $A+B$ contains all sufficiently large positive integers then is it true that $\limsup 1_A\ast 1_B(n)=\infty$? A conjecture of Erdős and Sárközy. Topics: additive combinatorics, additive basis. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_c287d5a6b1f945dc

vs_2fe29cd371868785

review context

unverified

1 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_c287d5a6b1f945dc"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_210f6a489164e702

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_673ef1eff363e539finding.asserted

    Candidate claim vc_c287d5a6b1f945dc imported from artifact packet cap_61973ee16b553d57

    reviewer:erdos-db-trustreviewer:erdos-db-trust · 2026-05-30

reviewable changes

  • vpr_3bf988c3c3d8fa40finding.add

    Candidate claim vc_c287d5a6b1f945dc imported from artifact packet cap_61973ee16b553d57

    agent — machine actor, no signing keyapplied · agent:erdos-spine-ingest · 2026-05-30

evaluations

No evaluation rows are attached.

statement.registered · agent:claude-proxy · 4 days

renders the record as of vev_e73c9b6c · 1,355 events · hub

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