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Erdős problem 818

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Let AA be a finite set of integers such that ∣A+A∣≪∣A∣\lvert A+A\rvert \ll \lvert A\rvert. Is it true that ∣AA∣≫∣A∣2(log⁡∣A∣)C\lvert AA\rvert \gg \frac{\lvert A\rvert^2}{(\log \lvert A\rvert)^C} for some constant C>0C>0?

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  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal2 retained
  4. Resolutionproved (Lean)
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
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