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_1dc0d8a036c19db9"}

id
vea_0e0424f1356e6718
frontier
Erdős problems frontier
source
vs_289cb5597b0698ea
finding
vf_8847971758e968de

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #370 has status 'proved (lean)'. Statement: Are there infinitely many $n$ such that the largest prime factor of $n$ is $< n^{\frac{1}{2}}$ and the largest prime factor of $n + 1$ is $< (n + 1)^{\frac{1}{2}}$. Steinerberger has pointed out this problem has a trivial solution. This was formalized in Lean by Alexeev using Aristotle. Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_1dc0d8a036c19db9

vs_289cb5597b0698ea

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_1dc0d8a036c19db9"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_4f810dfb6b127d1a

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_3e59ae36bcd421bbfinding.asserted

    Candidate claim vc_1dc0d8a036c19db9 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_1287893c93afe29bfinding.add

    Candidate claim vc_1dc0d8a036c19db9 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

Search Vela

Jump to a section, signal, campaign, document, primitive, work path, frontier, record index, atlas, constellation, agent, capability, or full-state search.