I know the probability of getting an odd number from a Poisson random draw of rate $\lambda$ is $\frac{1+e^{-2\lambda}}{2}$, what I'm interested in is the probability of getting a prime number from a Poisson random draw. Is there a way to find the closed-form solution to this problem or there's no hope? thanks
2026-04-01 13:48:30.1775051310
The probability of getting a prime number from a Poisson random draw
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