If we denote by $p_1(n)$ the smallest prime factor of $n$, has the Dirichlet series $$\sum_{n=2}^\infty\frac{p_1(n)}{n^s}$$already been studied? What is known about its analytic continuation?
2026-03-25 19:02:51.1774465371
Dirichlet series associated to smallest prime factors
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