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_88ffcd16b0393607"}
- id
- vea_516127d43b2c647d
- frontier
- Erdős problems frontier
- source
- vs_600e18ef85178f22
- finding
- vf_eda8dd0de2f55eb7
finding binding
boundtheoretical
Erdős Problem #253 has been DISPROVED (a counterexample is known). Statement: Let $a_1 < a_2 < \dotsc$ be an infinite sequence of positive integers such that $\frac{a_{i+1}}{a_i} \to 1$. If every arithmetic progression contains infinitely many integers which are the sum of distinct $a_i$ then every sufficiently large integer is the sum of distinct $a_i$. Topics: number theory. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
source binding
source-boundcap_61973ee16b553d57 · vc_88ffcd16b0393607
vs_600e18ef85178f22
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_88ffcd16b0393607"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_58dc5a1032b8033f
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_80cc212a075762edfinding.assertedCandidate claim vc_88ffcd16b0393607 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_c802c3da061e6950finding.addCandidate claim vc_88ffcd16b0393607 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.