Erdős Problem #469

Precise statement

Does the sum of the reciprocals of all primitive pseudoperfect numbers converge?

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

GPT-5.6 Sol Ultra, Claude Fable 5

The public proof, which also yields density results for pseudoperfect numbers, was developed with GPT-5.6 Sol Ultra and reviewed with Claude Fable 5.

Provider: OpenAI / Anthropic · Prompt public: unknown · Independence: unknown

Verification boundary

lean verified statement audited

Lean-checked in two independent public developments.

Correctness: supported · statement fidelity: audited · peer review: none

Timeline

1. 2026-07-21

   erdosproblems.com/469

   VibeMathed reports this item as resolved. 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

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.