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Erdős problem 164

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A set A⊂NA\subset \mathbb{N} is primitive if no member of AA divides another. Is the sum ∑n∈A1nlog⁡n\sum_{n\in A}\frac{1}{n\log n} maximised over all primitive sets when AA is the set of primes?

Erdős Problems records this as proved (Lean).

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  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal1 retained
  4. Resolutionproved (Lean)
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
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Where the source files it576 share a topic
Number Theory576Primitive Sets9
Erdős problem 321accepted
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