Open on the site (the problem page on 2026-10-07: OPEN, no comment, and one proof-claim entry, posted 2026-09-27 by the curator to make the Conjectures.io claim known without verifying it). The frontmatter standing derives from the accepted claim page Kruer and Kohlmeyer's Lean disproof, whose acceptance evidence is the certification by the bounty site Conjectures.io (Lean kernel verification 18 September 2026, review approval 21 September 2026, certification 23 September 2026). The subject is the literal site wording quoted above, and the answer is no: $d_t$ exists for every $t$, and for no constants $c_1,c_2>0$ is $d_t\sim c_1/(\log t)^{c_2}$, because $-\log d_t/\log\log t$ has lower limit exactly $\delta=1-(1+\log\log 2)/\log 2=0.0860\ldots$ while $(\log t)^{\delta}d_t\to0$.