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Erdős problem 153

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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sha256:512fc628616db45eacf353e0987d223af4f0a6d8b99093d3cb8287e898ba7193
Metadata
sha256:148108e28d433607664287b15b9e2ce3c6e94525671ddac463a41f4554f59928
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
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sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
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2415f78e850aeee50afdca525c6f2e0ea606f207
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