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Erdős problem 520

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Let ff be a Rademacher multiplicative function. Does there exist some constant c>0c > 0 such that, almost surely, lim sup⁡N→∞∑m≤Nf(m)Nlog⁡log⁡N=c? \limsup_{N \to \infty} \frac{\sum_{m \leq N} f(m)}{\sqrt{N \log \log N}} = c?

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Problem row
sha256:e1426be3863de5e792bd1ca02febc580fd3c0cef10082a8ce5c1d373ad7ef81d
Metadata
sha256:b98848c654331433689ea15fa4db74bc17a5dc93ee789907848df86de3bfe2a1
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
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sha256:a1170cdb0d2be0ed20bcf3ff5599e9053172523e519ace818d48a752b99b4974
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sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
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sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
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36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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