I recently ran into this infinite sum:
$$\sum_{s=2}^\infty \frac{\zeta(s)}{s!}$$
and have tried to solve it to no avail. Any references, solutions, or general advice would be greatly appreciated.
2026-03-30 22:59:54.1774911594
Is the infinite sum $\sum_{s=2}^\infty \frac{\zeta(s)}{s!}$ known? If so, what is its value?
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