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Erdős problem 457

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Is there some ϵ>0\epsilon > 0 such that there are infinitely many nn where all primes p≤(2+ϵ)log⁡np \le (2 + \epsilon) \log n divide ∏1≤i≤log⁡n(n+i)? \prod_{1 \le i \le \log n} (n + i)?

Erdős Problems records this as proved (Lean).

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  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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Where the source files it575 share a topic
Number Theory576
Erdős problem 321accepted
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