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_313e48cb3c127fb5"}

id
vea_4afbb9e07fd006d7
frontier
Erdős problems frontier
source
vs_874d219c72ce5127
finding
vf_6914e31e9688153b

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #145 remains OPEN. Statement: Let $s_1 < s_2 < \cdots$ be the sequence of squarefree numbers. Is it true that, for any $\alpha\geq 0$, $$ \lim_{x\to\infty} \frac{1}{x}\sum_{s_n\leq x}(s_{n+1}-s_n)^\alpha $$ exists? Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A005117.

source binding

source-bound

cap_61973ee16b553d57 · vc_313e48cb3c127fb5

vs_874d219c72ce5127

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_313e48cb3c127fb5"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_f2eed89a79e665ee

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_46760dd7d660e935finding.asserted

    Candidate claim vc_313e48cb3c127fb5 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_8974d5631d24b979finding.add

    Candidate claim vc_313e48cb3c127fb5 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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