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_451b12416c76d3f8"}

id
vea_66e1f798ab158869
frontier
Erdős problems frontier
source
vs_5bf53676efac22cb
finding
vf_eecf9cbc59b63eda

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #1055 remains OPEN. Statement: A prime $p$ is in class $1$ if the only prime divisors of $p+1$ are $2$ or $3$. In general, a prime $p$ is in class $r$ if every prime factor of $p+1$ is in some class $\leq r-1$, with equality for at least one prime factor. Are there infinitely many primes in each class? Topics: number theory, primes. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A005113.

source binding

source-bound

cap_61973ee16b553d57 · vc_451b12416c76d3f8

vs_5bf53676efac22cb

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_451b12416c76d3f8"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_2e87fee7cf1f5690

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_d12ca2abe094382efinding.asserted

    Candidate claim vc_451b12416c76d3f8 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_4a66ad165599dd5ffinding.add

    Candidate claim vc_451b12416c76d3f8 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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