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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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Problem row
sha256:512fc628616db45eacf353e0987d223af4f0a6d8b99093d3cb8287e898ba7193
Metadata
sha256:148108e28d433607664287b15b9e2ce3c6e94525671ddac463a41f4554f59928
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:f467ba14e5bcc12e47be69bf7a9ed43370fa811112cb22d086b3dd806a005619
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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