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_29ac5e819745a9b5"}

id
vea_b8cfd2a7e178dd0f
frontier
Erdős problems frontier
source
vs_77f8cef5d740bea8
finding
vf_4599cc6c9a4e4b14

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #849 remains OPEN. Statement: Is it true that, for every integer $t\geq1$, there is some integer $a$ such that ${n \choose k} = a$ with $1\leq k \le \frac{n}{2}$ has exactly $t$ solutions? Topics: number theory, binomial coefficients. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: A003016, A003015, A059233, A098565, A090162, A180058, A182237.

source binding

source-bound

cap_61973ee16b553d57 · vc_29ac5e819745a9b5

vs_77f8cef5d740bea8

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_29ac5e819745a9b5"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_6efb6254a60efb1e

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_d91f841b214998cefinding.asserted

    Candidate claim vc_29ac5e819745a9b5 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_aff3fe9b22dd7019finding.add

    Candidate claim vc_29ac5e819745a9b5 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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