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Actually they do not.

The Prime number Thoerem states that, for large numbers, the probability that a randomly number selected number is a prime is 1/ln(N), its natural logarithm.

So, around a million, around 1 in 14 numbers is prime, around a billion it falls to 1 in 21 and around a trillion to 1 in 28 (which, since the proportionality is logarithmic, is half as often as around a million).

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