GPT-5.6 starships (Claude Fable 5 reviewer)
Produced by the GPT-5.6 starships pipeline with Claude Fable 5 as reviewer.
Provider: OpenAI / Anthropic · Prompt public: unknown · Independence: unknown
Problem detail · source-aware
Erdős Problem #709
VibeMathed reports this item as partial. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Precise statement
How long must an interval be to contain distinct representatives $x_i$, with $a_i \mid x_i$, for every $n$-element set of moduli $A = \{a_1, \dots, a_n\}$?
The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.
What AI did
Verification boundary
Lean-checked construction; community status pending.
Correctness: supported · statement fidelity: audited · peer review: none
Timeline
-
erdosproblems.com/709
upper bound improved to f(n) ≤ 14n^{3/7} with an explicit logarithmic lower bound; matching bounds remain open
Known method families
argument (source-reported)
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
What remains uncertain
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.
- VibeMath has not independently verified the mathematical claim.
- AI-attempt independence and training-data exposure are unknown unless explicitly documented.
- VibeMath has not independently audited the mathematical statement, proof, or novelty claim.