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Erdős problem 258

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Let an→∞a_n \to \infty be a sequence of non-zero natural numbers. Is ∑nd(n)(a1...an)\sum_n \frac{d(n)}{(a_1 ... a_n)} irrational, where d(n)d(n) is the number of divisors of nn?

Erdős Problems records this as proved (Lean).

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How far the record reaches4 of 6 stages
  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal3 retained
  4. Resolutionproved (Lean)
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
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