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_ea18deed01ca06db"}
- id
- vea_7933a8991dc2d8cd
- frontier
- Erdős problems frontier
- source
- vs_1fe0761558e89e1a
- finding
- vf_d3606d7813f44f08
finding binding
boundtheoretical
Erdős Problem #899 has been PROVED (Erdős's conjecture holds). Statement: Let $A\subseteq\mathbb{N}$ be an infinite set such that $|A\cap \{1, ..., N\}| = o(N)$. Is it true that $$ \limsup_{N\to\infty}\frac{|(A - A)\cap \{1, ..., N\}|}{|A \cap \{1, ..., N\}|} = \infty? $$ The answer is yes, proved by Ruzsa [Ru78]. [Ru78] Ruzsa, I. Z., _On the cardinality of {$A+A$}\ and {$A-A$}_. (1978), 933--938. Topics: additive combinatorics. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
source binding
source-boundcap_61973ee16b553d57 · vc_ea18deed01ca06db
vs_1fe0761558e89e1a
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_ea18deed01ca06db"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_378d2e3cbe4a668d
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_aac45e2033e1b1f4finding.assertedCandidate claim vc_ea18deed01ca06db imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_f10e967974c50f58finding.addCandidate claim vc_ea18deed01ca06db imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.