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

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

Evidence atom

back to sources

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_2e4ad5ecf784b675"}

id
vea_6932ad1555ebca9b
frontier
Erdős problems frontier
source
vs_f2fd349dea5b5ab2
finding
vf_3bdeedd439e228be

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #347 has status 'proved (lean)'. Statement: Is there a sequence $A=\{a_1\leq a_2\leq \cdots\}$ of integers with $$\lim \frac{a_{n+1}}{a_n}=2$$ such that $$P(A')= \left\{\sum_{n\in B}n : B\subseteq A'\textrm{ finite }\right\}$$ has density $1$ for every cofinite subsequence $A'$ of $A$? This has been solved in the affirmative by ebarschkis in the comments (based on idea of Tao and van Doorn, also in the comments). Thos was formalized in Lean by Barschkis using Aristotle. Topics: number theory, complete sequences. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_2e4ad5ecf784b675

vs_f2fd349dea5b5ab2

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_2e4ad5ecf784b675"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_7efbb32c39c213f2

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_9824e3211c7c7d33finding.asserted

    Candidate claim vc_2e4ad5ecf784b675 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_bb1aedb6706a4b43finding.add

    Candidate claim vc_2e4ad5ecf784b675 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.

finding.noted · reviewer:will-blair · 2 days

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

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