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_6108d54268fb4af4"}
- id
- vea_665d4d4158921fc2
- frontier
- Erdős problems frontier
- source
- vs_b5fcea2d9c9221b3
- finding
- vf_70eb839910df9449
finding binding
boundtheoretical
Erdős Problem #266 has been DISPROVED (a counterexample is known). Statement: Let $a_n$ be an infinite sequence of positive integers such that $\sum \frac{1}{a_n}$ converges. There exists some integer $t \ge 1$ such that $\sum \frac{1}{a_n + t}$ is irrational. This was disproven by Kovač and Tao in [KoTa24]. [KoTa24] Kovač, V. and Tao T., On several irrationality problems for Ahmes series. [arXiv:2406.17593](https://arxiv.org/abs/2406.17593) (2024). Topics: irrationality. Erdős prize: no. Statement is machine-verified in Lean (formal-conjectures). OEIS: N/A.
source binding
source-boundcap_61973ee16b553d57 · vc_6108d54268fb4af4
vs_b5fcea2d9c9221b3
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_6108d54268fb4af4"}
locator
span:0
extraction method
artifact_to_state_import
support relation
supports
condition refs
vcnd_3439bcb0e563eb62
caveats
No caveats recorded.
Review, event, and evaluation records
2events
vev_97ba5a6b8ba5829cfinding.assertedCandidate claim vc_6108d54268fb4af4 imported from artifact packet cap_61973ee16b553d57
reviewer:erdos-db-trust · 2026-05-30
reviewable changes
vpr_91efbe516b5eef37finding.addCandidate claim vc_6108d54268fb4af4 imported from artifact packet cap_61973ee16b553d57
applied · agent:erdos-spine-ingest · 2026-05-30
evaluations
No evaluation rows are attached.