2 problems

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Failure of the Erdős–Kac conclusion for the zeroing-at-a-set-of-primes distribution
The conjecture. The conclusion of Theorem 2 does not hold for this distribution.
Conjectureopenerdos-kac-theorem probability-number-theoryarXiv posted 2 days ago
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LeVeque's conjecture on the optimal Kolmogorov distance rate
LeVeque's conjecture. The optimal rate of convergence of $Z_n$ to $N$ in Kolmogorov distance is of order
Conjectureopenerdos-kac-theorem limit-theorems probabilistic-number-theoryarXiv posted 2 days ago

Failure of the Erdős–Kac conclusion for the zeroing-at-a-set-of-primes distribution