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_7763330b5975443d"}

id
vea_09a103bc5a63fcb7
frontier
Erdős problems frontier
source
vs_ad425f94166a1493
finding
vf_25ed110668570c6f

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #428 remains OPEN. Statement: Is there a set $A\subseteq \mathbb{N}$ such that, for infinitely many $n$, all of $n-a$ are prime for all $a\in A$ with $0 < a < n$ and $$\liminf\frac{\lvert A\cap [1,x]\rvert}{\pi(x)}>0?$$ Topics: number theory, primes. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_7763330b5975443d

vs_ad425f94166a1493

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_7763330b5975443d"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_078b590a4f33ae32

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_c6188c7eb8f916f2finding.asserted

    Candidate claim vc_7763330b5975443d imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_4e6db9b67ef3f81cfinding.add

    Candidate claim vc_7763330b5975443d 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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