evidence boundary
supportsfrontiers / 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
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_b436ff4414c5948b"}
- id
- vea_146c596bf176a0a0
- frontier
- Erdős problems frontier
- source
- vs_7724d327019f50c1
- finding
- vf_a3bd44e08f7d2ce0
finding binding
boundopen_question
Erdős Problem #865 remains OPEN. Statement: There exists a constant $C>0$ such that, for all large $N$, if $A\subseteq \{1,\ldots,N\}$ has size at least $\frac{5}{8}N+C$ then there are distinct $a,b,c\in A$ such that $a+b,a+c,b+c\in A$. A problem of Erdős and Sós (also earlier considered by Choi, Erdős, and Szemerédi [CES75], but Erdős had forgotten this). Topics: number theory, additive combinatorics. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: possible.
source binding
source-boundcap_61973ee16b553d57 · vc_b436ff4414c5948b
vs_7724d327019f50c1
review context
unverified1 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_b436ff4414c5948b"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_43b78ef2927d9451
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_81e14d2009fadbe1finding.assertedCandidate claim vc_b436ff4414c5948b imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_b0f5ddf017e44b42finding.addCandidate claim vc_b436ff4414c5948b imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.