frontiers / frontier

Erdős problems frontier

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

Finding bundle

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OBLIGATION (Erdos #1094). BANKED: the 14 ELS exceptions enumerated provably-complete to k<=40 (binom_exception_enum). OPEN: extend the complete enumeration / prove finiteness of the exception set for all k.

id: vf_2d4edfce58578092
frontier: Erdős problems frontier
version: 1
confidence: 0.50

1inferred

file

/frontier/erdos-problems/at/vev_47dd109deff7ad43permalink · after_hash b0dd3044cc0c92b4…

vf_2d4edfce58578092 · erdos-problems · snapshot sha256:adf5cd08914be106b09be94cb69e55449b5195f7c3e9894fc07c7fc288c446c0 · https://vela-site-next.fly.dev/frontier/erdos-problems/at/vev_47dd109deff7ad43

cite

raw json · vf_2d4edfce58578092 (2.0 KB)

machine twin · index.json

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Unsealed — 0 attachment(s) on record, awaiting independent verification.

0 attachments · 0 distinct checker actors · 0 methods

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produced byreviewer:will-blairfinding.asserted · 2026-06-10vev_47dd109deff7ad43

checked byno verifier attachment on record

accepted byno accept signed

history · 1 event

e1237/1271finding.assertedreviewer:will-blair2026-06-10→b0dd3044cc

record state

frontier-owned

Review status

unreviewed

finding statement

finding type

theoretical

No entity list is declared.

evidence

source-bound

1 atoms

theoretical · manual state transition

proof impact

packet context

1 events

1 reviewable changes and 0 evaluation records are attached to this finding id.

evidence

method

manual state transition

evidence type

theoretical

conditions

species_unverified
species_verified
text: Manually added finding; requires evidence review before scientific use.

provenance

source title

manual finding

authors

reviewer:will-blair

Source records

source record

declared

manual finding

vs_066123dd29a9c5b4

title:manual finding

manual_curation

Evidence atoms

vea_e4d9918d20e1fd2atheoretical · unknown
OBLIGATION (Erdos #1094). BANKED: the 14 ELS exceptions enumerated provably-complete to k<=40 (binom_exception_enum). OPEN: extend the complete enumeration / prove finiteness of the exception set for all k.
vs_066123dd29a9c5b4 · manual_curation

Typed links

outgoing

No outgoing links.

incoming

Erdős Problem #1094 remains OPEN. Statement: For all $n\ge 2k$ the least prime factor of $\binom{n}{k}$ is $\le\max(n/k,k)$, with only finitely many exceptions. Topics: number theory, binomial coefficients. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
depends · vf_03c1319b9c297377

Review, event, and evaluation records

events

vev_47dd109deff7ad43finding.asserted
Manual finding added to frontier state
reviewer:will-blair · 2026-06-10

reviewable changes

vpr_6ce632e3d52850dbfinding.add
Manual finding added to frontier state
applied · reviewer:will-blair · 2026-06-10

evaluations

No evaluation record targets this finding id.

Review status

theoretical

1 atoms

1 events

Source records

manual finding

Evidence atoms

Typed links

Review, event, and evaluation records

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