--- On Wed, 4/17/13,

bobgillson@... <

bobgillson@...> wrote:

> All the odd numbers not listed are the primes - so how can

> they arise randomly from a non random logical process?

They can't. The people who use the word "random" in the context of prime numbers either:

a) know what they're talking about, and are trying to make a subtle point that you're overlooking; or

b) don't know what they're talking about.

The simplest statement that's closest to the truth that ascribes the "random" feature to the primes is probably:

Given a large enough range of significantly larger numbers (say 10^100 .. 10^100+10^10, for example), the density of primes in that range is as one would expect from a random variable (whose distribution I could state, and which is parametrised by the size of the numbers).

Primes are to randomness what Pointilism is to brushstrokes.

Phil

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