Aristotle
Both the failed formalization and the audit that exposed its false axiom were AI-assisted.
Provider: Harmonic · Prompt public: unknown · Independence: unknown
Problem detail · source-aware
Erdős Problem #7
VibeMathed reports this item as retracted. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Precise statement
Can there be a finite covering system of the integers with distinct moduli, all of which are odd and greater than $1$?
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
Claim withdrawn; see the claim issue. Recorded because failed formalizations are part of the honest history of AI mathematics.
Correctness: challenged · statement fidelity: unaudited · peer review: none
Timeline
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erdosproblems.com/7
VibeMathed reports this item as retracted. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Known method families
argument (source-reported)
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
What remains uncertain
The claimed Lean proof that no such covering system exists was withdrawn after audit: its central axiom asserted that a product of factors greater than one is less than one, and a statement-fidelity audit confirmed the gap. The problem remains open.
- VibeMath has not independently verified the mathematical claim.
- AI-attempt independence and training-data exposure are unknown unless explicitly documented.
- The claimed Lean proof that no such covering system exists was withdrawn after audit: its central axiom asserted that a product of factors greater than one is less than one, and a statement-fidelity audit confirmed the gap. The problem remains open.