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_8d3c7010373d5e55"}
- id
- vea_95e4cf778ba6dd95
- frontier
- Erdős problems frontier
- source
- vs_f1f4cf0fd7faa470
- finding
- vf_8431860ae06050de
finding binding
boundopen_question
Erdős Problem #535 remains OPEN. Statement: Let $r \geq 3$, and let $f_r(N)$ denote the size of the largest subset of $\{1,\ldots,N\}$ such that no subset of size $r$ has the same pairwise greatest common divisor between all elements. Erdős [Er64] proved that $f_3(N) > N^{c/\log\log N}$ for some constant $c > 0$, and conjectured this should also be an upper bound; here we state the conjectural upper bound for all $r \geq 3$. See also [536]. Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: possible.
source binding
source-boundcap_61973ee16b553d57 · vc_8d3c7010373d5e55
vs_f1f4cf0fd7faa470
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_8d3c7010373d5e55"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_56e4d922546181db
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_302ab5e9649da73dfinding.assertedCandidate claim vc_8d3c7010373d5e55 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_00415b2fefc76558finding.addCandidate claim vc_8d3c7010373d5e55 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.