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_cab2fc3e8646b45c"}

id
vea_45501d4fb50773a0
frontier
Erdős problems frontier
source
vs_a0a22b7c57f1a8df
finding
vf_1e3cfd0dd250492e

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #299 has status 'disproved (lean)'. Statement: Is there an infinite sequence $a_1 < a_2 < \dots$ such that $a_{i+1} - a_i = O(1)$ and no finite sum of $\frac{1}{a_i}$ is equal to 1? There does not exist such a sequence, which follows from the positive solution to [erdosproblems.com/298] by Bloom [Bl21]. This was formalized in Lean 3 by Bloom and Mehta. Topics: number theory, unit fractions. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_cab2fc3e8646b45c

vs_a0a22b7c57f1a8df

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_cab2fc3e8646b45c"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_36237def70fae83c

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_714f9f6342a34fc0finding.asserted

    Candidate claim vc_cab2fc3e8646b45c imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_f999578928f714edfinding.add

    Candidate claim vc_cab2fc3e8646b45c 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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