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Erdős problem 153

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Let AA be a finite Sidon set and A+A={s1<⋯<st}A+A=\{s_1<\cdots<s_t\}. Is it true that 1t∑1≤i<t(si+1−si)2→∞\frac{1}{t}\sum_{1\leq i<t}(s_{i+1}-s_i)^2 \to \infty as ∣A∣→∞\lvert A\rvert\to \infty?

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  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal1 retained
  4. ResolutionNone filed
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
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Sidon Sets31
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