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_f0923e08cba7fd09"}

id
vea_378912872157fda6
frontier
Erdős problems frontier
source
vs_0b7834b3fbb813c7
finding
vf_b53818ef62d3672f

evidence boundary

supports

computational

finding binding

bound

open_question

Erdős Problem #699 has status 'falsifiable'. Statement: **Erdős Problem 699.** Is it true that for every $1 \le i < j \le n / 2$ there exists a prime $p \ge i$ with $p \mid \gcd\big(\binom{n}{i}, \binom{n}{j}\big)$? Topics: number theory, binomial coefficients. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.

source binding

source-bound

cap_61973ee16b553d57 · vc_f0923e08cba7fd09

vs_0b7834b3fbb813c7

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_f0923e08cba7fd09"}

locator

span:0

extraction method

artifact_to_state_import

support relation

supports

condition refs

vcnd_17a3559ac91d1df9

caveats

No caveats recorded.

Review, event, and evaluation records

2

events

  • vev_e712a152d6b36d53finding.asserted

    Candidate claim vc_f0923e08cba7fd09 imported from artifact packet cap_61973ee16b553d57

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

reviewable changes

  • vpr_d7f2fa1fe309e1a0finding.add

    Candidate claim vc_f0923e08cba7fd09 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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