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_5fc07748214ab9d3"}
- id
- vea_c93b6c5e51d3dbf0
- frontier
- Erdős problems frontier
- source
- vs_ede8a4d0dfb62a5f
- finding
- vf_6fd2e4c31e5b09bc
finding binding
boundopen_question
Erdős Problem #817 remains OPEN. Statement: Let $k \geq 3$. Define $g_k(n)$ to be the minimal $N$ such that $\{1, ..., N\}$ contains some $A$ of size $|A| = n$ such that $$ \langle A\rangle = \left\{\sum_{a \in A} \epsilon_a a : \epsilon_a \in\{0, 1\}\right\} $$ contains no non-trivial $k$-term arithmetic progression. Estimate $g_k(n)$. In particular, is it true that $$ g_3(n) \gg 3^n $$ Topics: additive combinatorics. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: possible.
source binding
source-boundcap_61973ee16b553d57 · vc_5fc07748214ab9d3
vs_ede8a4d0dfb62a5f
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_5fc07748214ab9d3"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_92cd6bd35772c5c0
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_3bf0e37cf725586ffinding.assertedCandidate claim vc_5fc07748214ab9d3 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_dcc351da4b552fb8finding.addCandidate claim vc_5fc07748214ab9d3 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.