Codex 5.5, ChatGPT-5.5 Pro
The source does not provide a sufficiently specific role description.
Provider: OpenAI · Prompt public: unknown · Independence: unknown
Problem detail · source-aware
Erdős Problem #176
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
Let $N(k, \ell)$ be the least $N$ such that every $f : [N] \to \{-1, 1\}$ has a $k$-term arithmetic progression $P$ with $|\sum_{n \in P} f(n)| \ge \ell$. In particular, is $N(k, 2) \le C^k$?
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
Public Lean proof of the N(k,2) clause.
Correctness: supported · statement fidelity: audited · peer review: none
Timeline
-
erdosproblems.com/176
a polynomial bound for N(k,2), stronger than the exponential bound asked for; the two-parameter problem remains 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.