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_5237658ef98610c6"}

id
vea_0dc5558862075641
frontier
Erdős problems frontier
source
vs_f1bfd706410d539b
finding
vf_608ebe818e8a4906

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #258 has status 'proved (lean)'. Statement: Let $a_n \to \infty$ be a sequence of non-zero natural numbers. Is $\sum_n \frac{d(n)}{(a_1 ... a_n)}$ irrational, where $d(n)$ is the number of divisors of $n$? This was proved affirmatively by Chojecki and GPT-5.4 Pro [Ch26], and formalised in Lean by ster-oc [St26]. Topics: irrationality. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_5237658ef98610c6

vs_f1bfd706410d539b

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_5237658ef98610c6"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_19c06df9d921e7ba

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_ede17a4d16b5906afinding.asserted

    Candidate claim vc_5237658ef98610c6 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_3cbc3277692c8bfffinding.add

    Candidate claim vc_5237658ef98610c6 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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