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_f40e8a3a6dff978f"}

id
vea_402f5cdf25fe90c3
frontier
Erdős problems frontier
source
vs_57508ad826b88948
finding
vf_53be11eedaed1c71

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #25 remains OPEN. Statement: Let $n_1 < n_2 < \dots$ be an arbitrary sequence of integers, each with an associated residue class $a_i \pmod{n_i}$. Let $A$ be the set of integers $n$ such that for every $i$ either $n < n_i$ or $n \not\equiv a_i \pmod{n_i}$. Must the logarithmic density of $A$ exist? Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_f40e8a3a6dff978f

vs_57508ad826b88948

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_f40e8a3a6dff978f"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_f09b43c6e41187f0

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_a87516061b24f52cfinding.asserted

    Candidate claim vc_f40e8a3a6dff978f imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_c51c1c39bba06313finding.add

    Candidate claim vc_f40e8a3a6dff978f 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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