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_e4fbe3ebb527c634"}
- id
- vea_d522889e683c1dfc
- frontier
- Erdős problems frontier
- source
- vs_9b0d38d5c33b612a
- finding
- vf_83af83f22e337973
finding binding
boundtheoretical
Erdős Problem #245 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 $$ \limsup_{N\to\infty}\frac{|(A + A)\cap \{1, ..., N\}|}{|A \cap \{1, ..., N\}|} \geq 3? $$ The answer is yes, proved by Freiman [Fr73]. [Fr73] Fre\u{\i}man, G. A., _Foundations of a structural theory of set addition_. (1973), vii+108. Topics: additive combinatorics. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
source binding
source-boundcap_61973ee16b553d57 · vc_e4fbe3ebb527c634
vs_9b0d38d5c33b612a
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_e4fbe3ebb527c634"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_e3e17c6f48cd1d30
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_7b5e6c1e213d6631finding.assertedCandidate claim vc_e4fbe3ebb527c634 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_a8f0e1839e085fb1finding.addCandidate claim vc_e4fbe3ebb527c634 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.