![]() ![]() If you choose a random number that’s less than or equal to x, the probability of that number being prime is about 0.43 percent. Let’s say that that x (as in the prime counting function is a very big number, like x = 10 100. The Poisson Distribution formula is: P(x μ) = (e -μ) (μ x) / x! There is a connection between the Poisson distribution and the prime number theorem: Short intervals of primes fall into the approximate shape of a Poisson distribution.
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