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

e1271/1271 · statement.attested · reviewer:will-blair · 2026-06-10 · null→null

Evidence atom

back to sources

{"artifact_id":"va_9bc926d75e4e3881","artifact_packet_id":"cap_61973ee16b553d57","candidate_claim_id":"vc_edce33a8e9eb1188"}

id
vea_56f6b4048ced733a
frontier
Erdős problems frontier
source
vs_70f58b8e1f75b048
finding
vf_0cf052d918abf92d

evidence boundary

supports

computational

finding binding

bound

theoretical

Erdős Problem #219 has been PROVED (Erdős's conjecture holds). Statement: Are there arbitrarily long arithmetic progressions of primes? Solution: yes. Ref: Green, Ben and Tao, Terence, _The primes contain arbitrarily long arithmetic progressions_ Topics: number theory, additive combinatorics, primes, arithmetic progressions. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A005115, A113827, A123556.

source binding

source-bound

cap_61973ee16b553d57 · vc_edce33a8e9eb1188

vs_70f58b8e1f75b048

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_edce33a8e9eb1188"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_a4070756c2b59784

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_519735208c6e9e96finding.asserted

    Candidate claim vc_edce33a8e9eb1188 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_fab1a73a08ae6f3ffinding.add

    Candidate claim vc_edce33a8e9eb1188 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.

finding.noted · reviewer:will-blair · 2 days

renders the record as of vev_d199cb2e · 1,338 events · hub

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